{ "L": 14, "t_f": 0.5, "N_f": 1, "lambda_max": 60.0, "q_check": [ { "case": "A:", "coupling": "a", "M": 2.0, "L": 14, "norm_comm": 0.0 }, { "case": "A:", "coupling": "a", "M": 2.0, "L": 13, "norm_comm": 0.1 }, { "case": "A:", "coupling": "a", "M": 3.0, "L": 14, "norm_comm": 0.0 }, { "case": "A:", "coupling": "a", "M": 3.0, "L": 13, "norm_comm": 0.15 }, { "case": "E:", "coupling": "c", "M": 2.0, "L": 14, "norm_comm": 0.0 }, { "case": "E:", "coupling": "c", "M": 2.0, "L": 13, "norm_comm": 0.10125 }, { "case": "E:", "coupling": "c", "M": 3.0, "L": 14, "norm_comm": 0.0 }, { "case": "E:", "coupling": "c", "M": 3.0, "L": 13, "norm_comm": 0.1515 } ], "cases": [ { "case": "A: (a), sigma=(+,+), lowest", "params": { "b1": { "M": 2.0, "tau": 0.1, "gamma": 0.025, "sigma": 1, "coupling": "a" }, "b2": { "M": 3.0, "tau": 0.15, "gamma": 0.02, "sigma": 1, "coupling": "a" }, "xc": [ 3, 8 ], "widths": [ 1.3, 1.3 ], "top": false }, "tau0_gaps": { "delta_1": 2.003937214409947, "delta_f": 0.09165500361430556, "delta_2": 8.012403129669597, "delta": 0.09165500361430556, "body1": { "delta_1": 2.006384920452588, "delta_f": 0.09583867187128714 }, "body2": { "delta_1": 4.007498925965766, "delta_f": 0.09528166911469782 } }, "runs": [ { "scale": 1.0, "a_chart": [ 3.7858261213349334e-07, -5.810414565937054e-07 ], "a_winding": [ 3.819916400920294e-07, -5.730846831294809e-07 ], "eps_cut": [ -3.4090279585360663e-09, -7.95677346422442e-09 ], "pcut_0": [ 0.0002039856301867433, 0.00020399182280515657 ], "pcut_max_run": [ 0.00023207401809591572, 0.00026626967090686155 ], "a_evolution": [ 3.7858261173184646e-07, -5.810414544156848e-07 ], "v_chart_0": [ -5.08544411724118e-16, 4.588660666917769e-16 ], "a_pred": [ 3.7795703563993807e-07, -5.798804562280084e-07 ], "a_pred_first_order": [ 3.814240275545776e-07, -5.720816999241058e-07 ], "a_free_cut": [ -3.466991914639541e-09, -7.798756303902623e-09 ], "a_pred_winding": [ 3.813529593660609e-07, -5.719570023822199e-07 ], "Epp": [ 0.0049865554332740826, 0.007478885971070746 ], "a_zeroth_exact": [ -3.479759993810206e-09, -7.826518038473937e-09 ], "ratio_mutual": -0.6665254975564291, "ratio_mutual_over_inertia_minus_1": -0.00033835786264369005, "ratio_first_order_pred_over_inertia_minus_1": -3.1654146744997114e-05, "dev": [ 0.0016551523971397586, 0.0020021374288916594 ], "dev_winding": [ 0.0016747758481543418, 0.0019716180456996746 ], "evol_vs_exact": [ -1.0609226830382568e-09, -3.7484770842866055e-09 ], "ratio_exact": -0.6515586931660509, "ratio_pred": -0.6517844006995224, "inertia_ratio": -0.6667510980328748, "insitu_est": [ -4.793788150355162e-05, -3.286615508660108e-05 ], "band_gap_exact": 0.08792640983640698, "band_leak": 0.0011787970164203188, "single_body": [ { "leak": 0.0005909781988656659, "gap_exact": 0.09539445072442643 }, { "leak": 0.0005914044503828597, "gap_exact": 0.09460528966112669 } ], "tau_prime": [ 0.1, 0.15 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.0748526445446381, "tau_prime2_over_delta_1_delta": 0.1225017319179207 }, { "scale": 0.5, "a_chart": [ 9.517570280066733e-08, -1.4358044302874373e-07 ], "a_winding": [ 9.537485141237011e-08, -1.4306102977766345e-07 ], "eps_cut": [ -1.9914861170278427e-10, -5.194132510802811e-10 ], "pcut_0": [ 0.0002031980238714612, 0.00020319837194868174 ], "pcut_max_run": [ 0.00020517238086501267, 0.0002073552614928791 ], "a_evolution": [ 9.517570286827371e-08, -1.4358044225869692e-07 ], "v_chart_0": [ 4.530805855066705e-16, -1.7086000951410761e-15 ], "a_pred": [ 9.514152082021657e-08, -1.435145169495507e-07 ], "a_pred_first_order": [ 9.535821786343649e-08, -1.430270495258115e-07 ], "a_free_cut": [ -2.166970432199145e-10, -4.874674237392067e-10 ], "a_pred_winding": [ 9.534045040435119e-08, -1.429958736963776e-07 ], "Epp": [ 0.0012466677635462092, 0.0018698080961585379 ], "a_zeroth_exact": [ -2.1689656033251867e-10, -4.879008073036927e-10 ], "ratio_mutual": -0.6666496931291982, "ratio_mutual_over_inertia_minus_1": -0.00012895980495419845, "ratio_first_order_pred_over_inertia_minus_1": -3.1654146744997114e-05, "dev": [ 0.00035927511097222364, 0.000459368714707864 ], "dev_winding": [ 0.00036082279738591794, 0.0004556500799748342 ], "evol_vs_exact": [ 7.103324595192362e-10, -5.363173349870465e-09 ], "ratio_exact": -0.6628737228621997, "ratio_pred": -0.6629400484528086, "inertia_ratio": -0.6667356752318321, "insitu_est": [ -4.793788150355162e-05, -3.286615508660108e-05 ], "band_gap_exact": 0.09099600472703617, "band_leak": 0.0002892599694160891, "single_body": [ { "leak": 0.00014792878837688317, "gap_exact": 0.09573229400574035 }, { "leak": 0.00014800596244435305, "gap_exact": 0.0951213825071493 } ], "tau_prime": [ 0.05, 0.075 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.03742632227231905, "tau_prime2_over_delta_1_delta": 0.030625432979480175 }, { "scale": 0.25, "a_chart": [ 2.3827413075945988e-08, -3.579076340888715e-08 ], "a_winding": [ 2.3836518485088773e-08, -3.5752473264358225e-08 ], "eps_cut": [ -9.105409142785088e-12, -3.8290144528923954e-11 ], "pcut_0": [ 0.0002030018423452612, 0.00020300185261554917 ], "pcut_max_run": [ 0.0002031824999763953, 0.00020333771713689487 ], "a_evolution": [ 2.382741319437699e-08, -3.5790763176619346e-08 ], "v_chart_0": [ -3.2856179708190493e-16, -8.226976474619974e-16 ], "a_pred": [ 2.382615097549402e-08, -3.578765308289842e-08 ], "a_pred_first_order": [ 2.3839694700033498e-08, -3.5757185647618684e-08 ], "a_free_cut": [ -1.3543724539480021e-11, -3.0467435279739466e-11 ], "a_pred_winding": [ 2.3835252809133274e-08, -3.574939159800023e-08 ], "Epp": [ 0.0003116687742411227, 0.000467457557444024 ], "a_zeroth_exact": [ -1.3546842209184148e-11, -3.047420480336161e-11 ], "ratio_mutual": -0.6666881182670233, "ratio_mutual_over_inertia_minus_1": -6.537356562896779e-05, "ratio_first_order_pred_over_inertia_minus_1": -3.1654146745108136e-05, "dev": [ 5.2971227004539045e-05, 8.691058845133881e-05 ], "dev_winding": [ 5.310100822653041e-05, 8.620192457109432e-05 ], "evol_vs_exact": [ 4.97036767299619e-09, -6.489601855896865e-09 ], "ratio_exact": -0.6657419626324439, "ratio_pred": -0.66576455629273, "inertia_ratio": -0.6667317048958903, "insitu_est": [ -4.793788150355162e-05, -3.286615508660108e-05 ], "band_gap_exact": 0.09155379858098112, "band_leak": 6.74664479149989e-05, "single_body": [ { "leak": 3.6993744870206235e-05, "gap_exact": 0.09581237133820508 }, { "leak": 3.701124622990104e-05, "gap_exact": 0.09524215241517853 } ], "tau_prime": [ 0.025, 0.0375 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.018713161136159524, "tau_prime2_over_delta_1_delta": 0.007656358244870044 } ], "dev_extrapolated_tau0": [ -4.75598065336493e-05, -3.606576009733192e-05 ], "ratio_dev_extrapolated_tau0": -1.1494870610214314e-05, "insitu_estimate": [ -4.793788150355162e-05, -3.286615508660108e-05 ], "insitu_ratio_estimate": -1.5071726416950543e-05 }, { "case": "B: (c), sigma=(+,-), lowest", "params": { "b1": { "M": 2.5, "tau": 0.12, "gamma": 0.02, "sigma": 1, "coupling": "c" }, "b2": { "M": 1.6, "tau": 0.08, "gamma": 0.03, "sigma": -1, "coupling": "c" }, "xc": [ 3, 8 ], "widths": [ 1.3, 1.3 ], "top": false }, "tau0_gaps": { "delta_1": 3.0046077208297737, "delta_f": 0.09203412373405229, "delta_2": 0.09393275228600717, "delta": 0.09203412373405229, "body1": { "delta_1": 3.006384920452588, "delta_f": 0.09583867187128714 }, "body2": { "delta_1": 3.206924249069045, "delta_f": 0.09592975700333728 } }, "runs": [ { "scale": 1.0, "a_chart": [ -4.084886249144837e-07, -2.8292963185994754e-07 ], "a_winding": [ -4.037584132705835e-07, -2.806167104714008e-07 ], "eps_cut": [ -4.730211643900194e-09, -2.3129213885467517e-09 ], "pcut_0": [ 0.00020390712665767688, 0.00020398763139501284 ], "pcut_max_run": [ 0.0002381336431083986, 0.00022201769326098115 ], "a_evolution": [ -4.084886245728902e-07, -2.829296328345679e-07 ], "v_chart_0": [ -4.286669215447825e-18, 2.5330530762884132e-17 ], "a_pred": [ -4.0802730337478264e-07, -2.8264718946954845e-07 ], "a_pred_first_order": [ -4.0340047826906273e-07, -2.804116700589534e-07 ], "a_free_cut": [ -4.626825105719916e-09, -2.2355194105950537e-09 ], "a_pred_winding": [ -4.0331367770713167e-07, -2.803435906249676e-07 ], "Epp": [ 0.005760574247307113, -0.00400417877651 ], "a_zeroth_exact": [ -4.6426172905829485e-09, -2.2443063992101767e-09 ], "ratio_mutual": 1.4387856114707758, "ratio_mutual_over_inertia_minus_1": 0.00010078198235219382, "ratio_first_order_pred_over_inertia_minus_1": -2.761764160574831e-05, "dev": [ 0.001130614387531148, 0.0009992754250596203 ], "dev_winding": [ 0.0011027038953406176, 0.0009742325331010271 ], "evol_vs_exact": [ -8.362374126491545e-10, 3.4447447117003094e-09 ], "ratio_exact": 1.4437817001673718, "ratio_pred": 1.4435922895272315, "inertia_ratio": 1.4386406224169563, "insitu_est": [ -3.193020543759894e-05, 3.612650487370206e-05 ], "band_gap_exact": 0.08950148999698623, "band_leak": 0.0010967097419596339, "single_body": [ { "leak": 0.0005464207885571559, "gap_exact": 0.09531497834345637 }, { "leak": 0.0005926437746675006, "gap_exact": 0.09555422765639321 } ], "tau_prime": [ 0.1224, 0.0824 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.04073743109672805, "tau_prime2_over_delta_1_delta": 0.05417839996660515 }, { "scale": 0.5, "a_chart": [ -1.0116744082976473e-07, -7.026010596611901e-08 ], "a_winding": [ -1.0085626241936537e-07, -7.010319992461986e-08 ], "eps_cut": [ -3.111784103993536e-10, -1.5690604149914427e-10 ], "pcut_0": [ 0.0002031782041672568, 0.00020319859983951793 ], "pcut_max_run": [ 0.000205022810715747, 0.0002044647664511724 ], "a_evolution": [ -1.0116744082918934e-07, -7.026010676309792e-08 ], "v_chart_0": [ 1.1886491980133453e-16, -9.282131293537213e-18 ], "a_pred": [ -1.0114149772386165e-07, -7.024128490221779e-08 ], "a_pred_first_order": [ -1.0085230860099346e-07, -7.010157030915182e-08 ], "a_free_cut": [ -2.8918912286818153e-10, -1.3971459306596885e-10 ], "a_pred_winding": [ -1.0083060798949153e-07, -7.008455077773517e-08 ], "Epp": [ 0.0014401748213120741, -0.0010010254565115475 ], "a_zeroth_exact": [ -2.8943576851362816e-10, -1.398518969953333e-10 ], "ratio_mutual": 1.438642891422025, "ratio_mutual_over_inertia_minus_1": -3.93453408643607e-05, "ratio_first_order_pred_over_inertia_minus_1": -2.761764160574831e-05, "dev": [ 0.00025650308218594375, 0.0002679487416470394 ], "dev_winding": [ 0.000254430974734543, 0.0002660949763926279 ], "evol_vs_exact": [ -5.687450510549752e-12, 1.1343263661700576e-08 ], "ratio_exact": 1.4398987795229048, "ratio_pred": 1.4399152558877553, "inertia_ratio": 1.4386994975441574, "insitu_est": [ -3.193020543759894e-05, 3.612650487370206e-05 ], "band_gap_exact": 0.09173287141998837, "band_leak": 0.00023918439438463945, "single_body": [ { "leak": 0.00013674924189466253, "gap_exact": 0.0957139903032671 }, { "leak": 0.0001483488251950993, "gap_exact": 0.0958358648394686 } ], "tau_prime": [ 0.0612, 0.0412 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.020368715548364023, "tau_prime2_over_delta_1_delta": 0.013544599991651288 }, { "scale": 0.25, "a_chart": [ -2.5232519255815068e-08, -1.753578115603504e-08 ], "a_winding": [ -2.52090133683712e-08, -1.752278982824954e-08 ], "eps_cut": [ -2.3505887443868544e-11, -1.2991327785500089e-11 ], "pcut_0": [ 0.00020299687512707608, 0.000203001991866709 ], "pcut_max_run": [ 0.00020304125199892492, 0.00020311700625904715 ], "a_evolution": [ -2.52325193433583e-08, -1.7535781020748183e-08 ], "v_chart_0": [ -1.010798036015948e-16, 4.111123897000353e-16 ], "a_pred": [ -2.5231291051272327e-08, -1.7534041497097987e-08 ], "a_pred_first_order": [ -2.5213216531258358e-08, -1.752530941790078e-08 ], "a_free_cut": [ -1.8074520013970118e-11, -8.73207919720713e-12 ], "a_pred_winding": [ -2.520779134839196e-08, -1.7521054555236373e-08 ], "Epp": [ 0.00036004569569416826, -0.0002502551766414562 ], "a_zeroth_exact": [ -1.807837353262492e-11, -8.734224623798601e-12 ], "ratio_mutual": 1.4386017782090932, "ratio_mutual_over_inertia_minus_1": -7.819444052625801e-05, "ratio_first_order_pred_over_inertia_minus_1": -2.7617641605970356e-05, "dev": [ 4.867783183382102e-05, 9.92160841721823e-05 ], "dev_winding": [ 4.847786790795894e-05, 9.903930198373878e-05 ], "evol_vs_exact": [ 3.4694604966745146e-09, -7.714903382805005e-09 ], "ratio_exact": 1.4389161812236206, "ratio_pred": 1.4389888979929863, "inertia_ratio": 1.4387142776671125, "insitu_est": [ -3.193020543759894e-05, 3.612650487370206e-05 ], "band_gap_exact": 0.09201144217538801, "band_leak": 5.7269858676933794e-05, "single_body": [ { "leak": 3.4196355202742446e-05, "gap_exact": 0.09580789496945363 }, { "leak": 3.709896269388224e-05, "gap_exact": 0.09590628334842366 } ], "tau_prime": [ 0.0306, 0.0206 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.010184357774182012, "tau_prime2_over_delta_1_delta": 0.003386149997912822 } ], "dev_extrapolated_tau0": [ -1.9645911529404033e-05, 4.422511064752213e-05 ], "ratio_dev_extrapolated_tau0": -6.386816786367136e-05, "insitu_estimate": [ -3.193020543759894e-05, 3.612650487370206e-05 ], "insitu_ratio_estimate": -6.8056710311301e-05 }, { "case": "C: (a), sigma=(-,-), highest", "params": { "b1": { "M": 2.0, "tau": 0.1, "gamma": 0.025, "sigma": -1, "coupling": "a" }, "b2": { "M": 3.0, "tau": 0.15, "gamma": 0.02, "sigma": -1, "coupling": "a" }, "xc": [ 3, 8 ], "widths": [ 1.3, 1.3 ], "top": true }, "tau0_gaps": { "delta_1": 2.003937214409948, "delta_f": 0.09165500361430556, "delta_2": 8.012403129669597, "delta": 0.09165500361430556, "body1": { "delta_1": 2.006384920452588, "delta_f": 0.09583867187128647 }, "body2": { "delta_1": 4.007498925965766, "delta_f": 0.09528166911469826 } }, "runs": [ { "scale": 1.0, "a_chart": [ 3.785826121320703e-07, -5.810414565902359e-07 ], "a_winding": [ 3.819916401097755e-07, -5.730846832002965e-07 ], "eps_cut": [ -3.409027977705163e-09, -7.95677338993942e-09 ], "pcut_0": [ 0.00020398563018674993, 0.00020399182280516747 ], "pcut_max_run": [ 0.00023207401809427367, 0.0002662696709036247 ], "a_evolution": [ 3.7858261226146027e-07, -5.810414542915286e-07 ], "v_chart_0": [ -1.3857806617200433e-15, 3.0510314267151117e-16 ], "a_pred": [ 3.779570356397207e-07, -5.798804562287716e-07 ], "a_pred_first_order": [ 3.814240275543563e-07, -5.720816999248544e-07 ], "a_free_cut": [ -3.4669919146356044e-09, -7.798756303917229e-09 ], "a_pred_winding": [ 3.8135295936583967e-07, -5.71957002382968e-07 ], "Epp": [ -0.0049865554332712515, -0.00747888597107775 ], "a_zeroth_exact": [ -3.4797599930377118e-09, -7.826518036685003e-09 ], "ratio_mutual": -0.6665254975545529, "ratio_mutual_over_inertia_minus_1": -0.0003383578639537532, "ratio_first_order_pred_over_inertia_minus_1": -3.1654147129356325e-05, "dev": [ 0.001655152393950754, 0.0020021374215899446 ], "dev_winding": [ 0.0016747758952699865, 0.001971618168201683 ], "evol_vs_exact": [ 3.41774608614287e-10, -3.9561847131608374e-09 ], "ratio_exact": -0.6515586931674923, "ratio_pred": -0.6517844006982897, "inertia_ratio": -0.6667510980318718, "insitu_est": [ -4.793788150352483e-05, -3.2866155086582926e-05 ], "band_gap_exact": 0.08792640983640343, "band_leak": 0.001178797016421429, "single_body": [ { "leak": 0.0005909781988663321, "gap_exact": 0.09539445072442732 }, { "leak": 0.0005914044503846361, "gap_exact": 0.09460528966112625 } ], "tau_prime": [ 0.1, 0.15 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.07485264454463807, "tau_prime2_over_delta_1_delta": 0.12250173191792067 }, { "scale": 0.5, "a_chart": [ 9.517570280031898e-08, -1.4358044302997616e-07 ], "a_winding": [ 9.537485140690512e-08, -1.4306102977110733e-07 ], "eps_cut": [ -1.9914860658613616e-10, -5.194132588688285e-10 ], "pcut_0": [ 0.00020319802387146866, 0.0002031983719486808 ], "pcut_max_run": [ 0.0002051723808671767, 0.0002073552614928589 ], "a_evolution": [ 9.517570292571733e-08, -1.4358044301794163e-07 ], "v_chart_0": [ 4.80988647754579e-16, 4.260137407429764e-15 ], "a_pred": [ 9.514152082244927e-08, -1.4351451695127548e-07 ], "a_pred_first_order": [ 9.535821786567938e-08, -1.4302704952752497e-07 ], "a_free_cut": [ -2.1669704323011355e-10, -4.874674237505239e-10 ], "a_pred_winding": [ 9.534045040659365e-08, -1.4299587369809068e-07 ], "Epp": [ -0.001246667763575547, -0.001869808096180243 ], "a_zeroth_exact": [ -2.1689656132608832e-10, -4.879008079686136e-10 ], "ratio_mutual": -0.6666496931310635, "ratio_mutual_over_inertia_minus_1": -0.00012895981407989865, "ratio_first_order_pred_over_inertia_minus_1": -3.1654147129356325e-05, "dev": [ 0.00035927508383548634, 0.00045936871127172374 ], "dev_winding": [ 0.00036082271653592457, 0.00045565002214131844 ], "evol_vs_exact": [ 1.3175458501990533e-09, -8.381739746710082e-11 ], "ratio_exact": -0.6628737228540837, "ratio_pred": -0.6629400484603987, "inertia_ratio": -0.6667356752397828, "insitu_est": [ -4.793788150352483e-05, -3.2866155086582926e-05 ], "band_gap_exact": 0.09099600472703173, "band_leak": 0.000289259969415423, "single_body": [ { "leak": 0.0001479287883775493, "gap_exact": 0.0957322940057399 }, { "leak": 0.0001480059624461294, "gap_exact": 0.09512138250714797 } ], "tau_prime": [ 0.05, 0.075 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.03742632227231903, "tau_prime2_over_delta_1_delta": 0.030625432979480168 }, { "scale": 0.25, "a_chart": [ 2.3827413076499206e-08, -3.579076340807569e-08 ], "a_winding": [ 2.38365184867135e-08, -3.575247326566627e-08 ], "eps_cut": [ -9.105410214295e-12, -3.8290142409422527e-11 ], "pcut_0": [ 0.0002030018423452669, 0.0002030018526155552 ], "pcut_max_run": [ 0.00020318249997624117, 0.00020333771713610738 ], "a_evolution": [ 2.3827413097567748e-08, -3.5790763505536255e-08 ], "v_chart_0": [ -5.681968119267082e-15, -3.2119595171286886e-15 ], "a_pred": [ 2.382615097525015e-08, -3.578765308803651e-08 ], "a_pred_first_order": [ 2.3839694699789354e-08, -3.575718565274805e-08 ], "a_free_cut": [ -1.3543724539202951e-11, -3.0467435288457905e-11 ], "a_pred_winding": [ 2.3835252808889173e-08, -3.574939160312847e-08 ], "Epp": [ -0.0003116687742379347, -0.0004674575575109069 ], "a_zeroth_exact": [ -1.3546842137530455e-11, -3.047420612536828e-11 ], "ratio_mutual": -0.6666881183202645, "ratio_mutual_over_inertia_minus_1": -6.537333247813581e-05, "ratio_first_order_pred_over_inertia_minus_1": -3.16541471292453e-05, "dev": [ 5.297126045955558e-05, 8.691042219322043e-05 ], "dev_winding": [ 5.3101086633144945e-05, 8.620181769836144e-05 ], "evol_vs_exact": [ 8.842144794130036e-10, 2.7230646626463795e-09 ], "ratio_exact": -0.6657419626629948, "ratio_pred": -0.6657645561903308, "inertia_ratio": -0.6667317047936757, "insitu_est": [ -4.793788150352483e-05, -3.2866155086582926e-05 ], "band_gap_exact": 0.09155379858098556, "band_leak": 6.74664479130005e-05, "single_body": [ { "leak": 3.699374487131646e-05, "gap_exact": 0.0958123713382053 }, { "leak": 3.701124623101126e-05, "gap_exact": 0.09524215241517675 } ], "tau_prime": [ 0.025, 0.0375 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.018713161136159517, "tau_prime2_over_delta_1_delta": 0.007656358244870042 } ], "dev_extrapolated_tau0": [ -4.7559746963275924e-05, -3.60659951884096e-05 ], "ratio_dev_extrapolated_tau0": -1.149457598627427e-05, "insitu_estimate": [ -4.793788150352483e-05, -3.2866155086582926e-05 ], "insitu_ratio_estimate": -1.5071726416941903e-05 }, { "case": "D: (c), sigma=(+,+), lowest, unequal widths", "params": { "b1": { "M": 2.0, "tau": 0.1, "gamma": 0.025, "sigma": 1, "coupling": "c" }, "b2": { "M": 3.0, "tau": 0.15, "gamma": 0.02, "sigma": 1, "coupling": "c" }, "xc": [ 3, 8 ], "widths": [ 1.1, 1.6 ], "top": false }, "tau0_gaps": { "delta_1": 2.003937214409947, "delta_f": 0.09165500361430556, "delta_2": 8.012403129669597, "delta": 0.09165500361430556, "body1": { "delta_1": 2.006384920452588, "delta_f": 0.09583867187128714 }, "body2": { "delta_1": 4.007498925965766, "delta_f": 0.09528166911469782 } }, "runs": [ { "scale": 1.0, "a_chart": [ 3.3355455540163176e-07, -6.974325121292035e-07 ], "a_winding": [ 3.337904637527835e-07, -6.21930930990129e-07 ], "eps_cut": [ -2.3590835115173584e-10, -7.550158113907452e-08 ], "pcut_0": [ 1.2260734901832807e-05, 0.0023516187614762533 ], "pcut_max_run": [ 2.3766709549978786e-05, 0.0024860273111357114 ], "a_evolution": [ 3.3355455588920695e-07, -6.974325100476913e-07 ], "v_chart_0": [ -7.485477049149548e-16, -6.970134220864357e-16 ], "a_pred": [ 3.33074374580094e-07, -6.962942927647887e-07 ], "a_pred_first_order": [ 3.333085762497592e-07, -6.250895920176419e-07 ], "a_free_cut": [ -2.3420166966519805e-10, -7.120470074714686e-08 ], "a_pred_winding": [ 3.3330756901870856e-07, -6.208727346997645e-07 ], "Epp": [ 0.005002072512129147, 0.0074970489865374135 ], "a_zeroth_exact": [ -2.3696979201495195e-10, -7.125613512680028e-08 ], "ratio_mutual": -0.5330631072215706, "ratio_mutual_over_inertia_minus_1": -0.2010511206973925, "ratio_first_order_pred_over_inertia_minus_1": -0.20082003814195026, "dev": [ 0.0014416624579514092, 0.0016346814504184515 ], "dev_winding": [ 0.0014487961839468877, 0.0017043690779499077 ], "evol_vs_exact": [ 1.461755383402874e-09, -2.984535618644202e-09 ], "ratio_exact": -0.4782606913224011, "ratio_pred": -0.4783528718260053, "inertia_ratio": -0.667205525949138, "insitu_est": [ 3.926142176508734e-05, 2.6454378469018533e-05 ], "band_gap_exact": 0.08791096055836167, "band_leak": 0.0011823287577197306, "single_body": [ { "leak": 0.0005927831758519853, "gap_exact": 0.09538722475154704 }, { "leak": 0.000592854090620043, "gap_exact": 0.09459685428884423 } ], "tau_prime": [ 0.1025, 0.153 ], "c_factors": [ 0.6615147808486168, 0.8227836288995541 ], "tau_prime_over_delta_1": 0.07634969743553086, "tau_prime2_over_delta_1_delta": 0.1274508018874047 }, { "scale": 0.5, "a_chart": [ 8.334477948841659e-08, -1.6079864151086109e-07 ], "a_winding": [ 8.33592060751156e-08, -1.5529115743510518e-07 ], "eps_cut": [ -1.4426586699011512e-11, -5.507484075755907e-09 ], "pcut_0": [ 1.2126607767258621e-05, 0.0023482231977721884 ], "pcut_max_run": [ 1.2863532362405019e-05, 0.0023581459863177053 ], "a_evolution": [ 8.334477920930888e-08, -1.6079864123989985e-07 ], "v_chart_0": [ -1.8749178582331245e-16, -1.9481371185373756e-15 ], "a_pred": [ 8.331405904910568e-08, -1.6072930517842998e-07 ], "a_pred_first_order": [ 8.332869719912617e-08, -1.5627865500348632e-07 ], "a_free_cut": [ -1.463815002049488e-11, -4.450650174943666e-09 ], "a_pred_winding": [ 8.332844538667007e-08, -1.552243984642719e-07 ], "Epp": [ 0.0012505414364704132, 0.0018743372903227773 ], "a_zeroth_exact": [ -1.4681338223853767e-11, -4.451453808623914e-09 ], "ratio_mutual": -0.5331689175337028, "ratio_mutual_over_inertia_minus_1": -0.2008754328085055, "ratio_first_order_pred_over_inertia_minus_1": -0.20082003814195037, "dev": [ 0.00036873055594144333, 0.00043138575354473296 ], "dev_winding": [ 0.00036914991396752583, 0.00043008039646963425 ], "evol_vs_exact": [ -3.348832544602942e-09, -1.6850965067760626e-09 ], "ratio_exact": -0.5183176841875689, "ratio_pred": -0.5183501475142723, "inertia_ratio": -0.6671912483025182, "insitu_est": [ 3.926142176508734e-05, 2.6454378469018533e-05 ], "band_gap_exact": 0.09099221750468534, "band_leak": 0.000290131617951328, "single_body": [ { "leak": 0.00014837487019281337, "gap_exact": 0.09573050721159371 }, { "leak": 0.00014835606533658563, "gap_exact": 0.09511929864091595 } ], "tau_prime": [ 0.05125, 0.0765 ], "c_factors": [ 0.6615147808486168, 0.8227836288995541 ], "tau_prime_over_delta_1": 0.03817484871776543, "tau_prime2_over_delta_1_delta": 0.03186270047185118 }, { "scale": 0.25, "a_chart": [ 2.083375838462425e-08, -3.93531147253238e-08 ], "a_winding": [ 2.083461082604632e-08, -3.8811239276855375e-08 ], "eps_cut": [ -8.524414220688132e-13, -5.418754484684255e-10 ], "pcut_0": [ 1.20933452769835e-05, 0.0023473786318199347 ], "pcut_max_run": [ 1.2146458265166276e-05, 0.0023483862941609465 ], "a_evolution": [ 2.0833758361749897e-08, -3.9353115095063674e-08 ], "v_chart_0": [ 2.6690081970742185e-16, 5.2617333628079986e-17 ], "a_pred": [ 2.0831358079056915e-08, -3.934823553986014e-08 ], "a_pred_first_order": [ 2.083227297209998e-08, -3.9070064201689866e-08 ], "a_free_cut": [ -9.148930430648195e-13, -2.7817133817027696e-10 ], "a_pred_winding": [ 2.0832210018687775e-08, -3.880649736544316e-08 ], "Epp": [ 0.00031263683992586007, 0.0004685891254112641 ], "a_zeroth_exact": [ -9.155675470252038e-13, -2.781838951237984e-10 ], "ratio_mutual": -0.5331979739825591, "ratio_mutual_over_inertia_minus_1": -0.20082747650981914, "ratio_first_order_pred_over_inertia_minus_1": -0.20082003814195026, "dev": [ 0.00011522559202448157, 0.0001240001081805886 ], "dev_winding": [ 0.0001152449671153466, 0.0001221937493498526 ], "evol_vs_exact": [ -1.097946511485759e-09, 9.395441091797352e-09 ], "ratio_exact": -0.5294055764083571, "ratio_pred": -0.5294102211509472, "inertia_ratio": -0.6671875700305033, "insitu_est": [ 3.926142176508734e-05, 2.6454378469018533e-05 ], "band_gap_exact": 0.09155293343023274, "band_leak": 6.767916643302119e-05, "single_body": [ { "leak": 3.710494847775081e-05, "gap_exact": 0.09581192645143854 }, { "leak": 3.709802126972139e-05, "gap_exact": 0.09524163411144526 } ], "tau_prime": [ 0.025625, 0.03825 ], "c_factors": [ 0.6615147808486168, 0.8227836288995541 ], "tau_prime_over_delta_1": 0.019087424358882714, "tau_prime2_over_delta_1_delta": 0.007965675117962794 } ], "dev_extrapolated_tau0": [ 3.203309397087459e-05, 2.095496229069906e-05 ], "ratio_dev_extrapolated_tau0": 1.1074671624970234e-05, "insitu_estimate": [ 3.926142176508734e-05, 2.6454378469018533e-05 ], "insitu_ratio_estimate": 1.2807043296068809e-05 }, { "case": "E: (c), sigma=(+,+), lowest", "params": { "b1": { "M": 2.0, "tau": 0.1, "gamma": 0.025, "sigma": 1, "coupling": "c" }, "b2": { "M": 3.0, "tau": 0.15, "gamma": 0.02, "sigma": 1, "coupling": "c" }, "xc": [ 3, 8 ], "widths": [ 1.3, 1.3 ], "top": false }, "tau0_gaps": { "delta_1": 2.003937214409947, "delta_f": 0.09165500361430556, "delta_2": 8.012403129669597, "delta": 0.09165500361430556, "body1": { "delta_1": 2.006384920452588, "delta_f": 0.09583867187128714 }, "body2": { "delta_1": 4.007498925965766, "delta_f": 0.09528166911469782 } }, "runs": [ { "scale": 1.0, "a_chart": [ 3.796930661943644e-07, -5.823647874583939e-07 ], "a_winding": [ 3.831224813558941e-07, -5.743721718188608e-07 ], "eps_cut": [ -3.4294151615296798e-09, -7.992615639533133e-09 ], "pcut_0": [ 0.00020398824206959373, 0.00020399402965163785 ], "pcut_max_run": [ 0.00023222836817010387, 0.0002665878423784842 ], "a_evolution": [ 3.796930666481354e-07, -5.823647853151188e-07 ], "v_chart_0": [ -8.378362046655002e-16, -8.661263044296396e-16 ], "a_pred": [ 3.791223338523527e-07, -5.813077236943959e-07 ], "a_pred_first_order": [ 3.8261093639214657e-07, -5.73471041706306e-07 ], "a_free_cut": [ -3.488602539793865e-09, -7.836681988089867e-09 ], "a_pred_winding": [ 3.825396470548429e-07, -5.733460413274211e-07 ], "Epp": [ 0.005002072512129147, 0.0074970489865374135 ], "a_zeroth_exact": [ -3.5016130139225478e-09, -7.865035879408948e-09 ], "ratio_mutual": -0.6670058222916455, "ratio_mutual_over_inertia_minus_1": -0.0002993135544079317, "ratio_first_order_pred_over_inertia_minus_1": -3.1654146744997114e-05, "dev": [ 0.001505404169182878, 0.0018184237382568025 ], "dev_winding": [ 0.0015235918826672634, 0.0017897228156731337 ], "evol_vs_exact": [ 1.1950995748577498e-09, -3.6802965119875353e-09 ], "ratio_exact": -0.6519849317323139, "ratio_pred": -0.6521887090075277, "inertia_ratio": -0.667205525949138, "insitu_est": [ 4.793788150355162e-05, 3.286615508660108e-05 ], "band_gap_exact": 0.08791096055836167, "band_leak": 0.0011823287577197306, "single_body": [ { "leak": 0.0005927831758519853, "gap_exact": 0.09538722475154704 }, { "leak": 0.000592854090620043, "gap_exact": 0.09459685428884423 } ], "tau_prime": [ 0.1025, 0.153 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.07634969743553086, "tau_prime2_over_delta_1_delta": 0.1274508018874047 }, { "scale": 0.5, "a_chart": [ 9.547295780904122e-08, -1.4392839359374128e-07 ], "a_winding": [ 9.567333073383558e-08, -1.434067200891461e-07 ], "eps_cut": [ -2.0037292479435825e-10, -5.216735045951965e-10 ], "pcut_0": [ 0.00020319870995176814, 0.00020319899530884568 ], "pcut_max_run": [ 0.0002051830613932689, 0.0002073759353179881 ], "a_evolution": [ 9.547295791066282e-08, -1.43928393363812e-07 ], "v_chart_0": [ -3.6709977893144474e-16, -1.4979555351769924e-15 ], "a_pred": [ 9.543647118486723e-08, -1.4386333258287186e-07 ], "a_pred_first_order": [ 9.565451697169866e-08, -1.433735007361638e-07 ], "a_free_cut": [ -2.1804578683142697e-10, -4.898318467080644e-10 ], "a_pred_winding": [ 9.563669430518183e-08, -1.4334224939021836e-07 ], "Epp": [ 0.0012505414364704132, 0.0018743372903227773 ], "a_zeroth_exact": [ -2.1824904339438363e-10, -4.902742581819035e-10 ], "ratio_mutual": -0.6671253589750116, "ratio_mutual_over_inertia_minus_1": -9.875628266142744e-05, "ratio_first_order_pred_over_inertia_minus_1": -3.1654146745108136e-05, "dev": [ 0.0003823132154929798, 0.00045224178879599286 ], "dev_winding": [ 0.0003830792032275543, 0.0004497675960994929 ], "evol_vs_exact": [ 1.064401899952827e-09, -1.5975255562850066e-09 ], "ratio_exact": -0.6633365066140282, "ratio_pred": -0.6633828750622849, "inertia_ratio": -0.6671912483025182, "insitu_est": [ 4.793788150355162e-05, 3.286615508660108e-05 ], "band_gap_exact": 0.09099221750468534, "band_leak": 0.000290131617951328, "single_body": [ { "leak": 0.00014837487019281337, "gap_exact": 0.09573050721159371 }, { "leak": 0.00014835606533658563, "gap_exact": 0.09511929864091595 } ], "tau_prime": [ 0.05125, 0.0765 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.03817484871776543, "tau_prime2_over_delta_1_delta": 0.03186270047185118 }, { "scale": 0.25, "a_chart": [ 2.3902958560933466e-08, -3.587883933469146e-08 ], "a_winding": [ 2.391213077228793e-08, -3.584039488625268e-08 ], "eps_cut": [ -9.172211354462346e-12, -3.8444448438782926e-11 ], "pcut_0": [ 0.00020300201600303817, 0.00020300201315608717 ], "pcut_max_run": [ 0.00020318345971560457, 0.0002033393206223777 ], "a_evolution": [ 2.3902958563931156e-08, -3.5878839340487986e-08 ], "v_chart_0": [ 7.028322105438894e-16, 3.1523253226115484e-16 ], "a_pred": [ 2.390011451988671e-08, -3.587435768449315e-08 ], "a_pred_first_order": [ 2.391374251066166e-08, -3.584374256649436e-08 ], "a_free_cut": [ -1.3627990774951967e-11, -3.0615117998782034e-11 ], "a_pred_winding": [ 2.3909286822928032e-08, -3.5835929649929067e-08 ], "Epp": [ 0.00031263683992586007, 0.0004685891254112641 ], "a_zeroth_exact": [ -1.3631166415531644e-11, -3.062202870347234e-11 ], "ratio_mutual": -0.6671625962096038, "ratio_mutual_over_inertia_minus_1": -3.7431484070316046e-05, "ratio_first_order_pred_over_inertia_minus_1": -3.165414674521916e-05, "dev": [ 0.00011899696314809916, 0.00012492628405302852 ], "dev_winding": [ 0.00011894747764573665, 0.00012460221814336592 ], "evol_vs_exact": [ 1.2541079286165768e-10, 1.6155832227582323e-10 ], "ratio_exact": -0.666213261191578, "ratio_pred": -0.6662172109137899, "inertia_ratio": -0.6671875700305033, "insitu_est": [ 4.793788150355162e-05, 3.286615508660108e-05 ], "band_gap_exact": 0.09155293343023274, "band_leak": 6.767916643302119e-05, "single_body": [ { "leak": 3.710494847775081e-05, "gap_exact": 0.09581192645143854 }, { "leak": 3.709802126972139e-05, "gap_exact": 0.09524163411144526 } ], "tau_prime": [ 0.025625, 0.03825 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.019087424358882714, "tau_prime2_over_delta_1_delta": 0.007965675117962794 } ], "dev_extrapolated_tau0": [ 3.2776566684480576e-05, 1.7086003149572758e-05 ], "ratio_dev_extrapolated_tau0": 1.5690193826979485e-05, "insitu_estimate": [ 4.793788150355162e-05, 3.286615508660108e-05 ], "insitu_ratio_estimate": 1.5071726416950543e-05 }, { "case": "A: with gamma_1, gamma_2 times 0.5", "params": { "b1": { "M": 2.0, "tau": 0.1, "gamma": 0.0125, "sigma": 1, "coupling": "a" }, "b2": { "M": 3.0, "tau": 0.15, "gamma": 0.01, "sigma": 1, "coupling": "a" }, "xc": [ 3, 8 ], "widths": [ 1.3, 1.3 ], "top": false }, "tau0_gaps": { "delta_1": 2.002733465872758, "delta_f": 0.09522591936977687, "delta_2": 8.006948044096603, "delta": 0.09522591936977687, "body1": { "delta_1": 2.003373339336669, "delta_f": 0.09734446242924655 }, "body2": { "delta_1": 4.004003009464755, "delta_f": 0.09702962736520337 } }, "runs": [ { "scale": 1.0, "a_chart": [ 9.947245396227811e-08, -1.6232944870735828e-07 ], "a_winding": [ 1.0294295846719421e-07, -1.544380383507312e-07 ], "eps_cut": [ -3.470504504916094e-09, -7.891410356627082e-09 ], "pcut_0": [ 0.0002039854446261763, 0.00020398718880535632 ], "pcut_max_run": [ 0.0002312388102348077, 0.00026525335761718013 ], "a_evolution": [ 9.947245402836022e-08, -1.6232944738599488e-07 ], "v_chart_0": [ 1.3933803434330026e-17, 7.676348264939157e-16 ], "a_pred": [ 9.940713792465623e-08, -1.6216378368462894e-07 ], "a_pred_first_order": [ 1.028848972828378e-07, -1.5433819384867137e-07 ], "a_free_cut": [ -3.477759358181562e-09, -7.825589835957564e-09 ], "a_pred_winding": [ 1.0286445900261971e-07, -1.5430291233587728e-07 ], "Epp": [ 0.004994292807897129, 0.007491741392406841 ], "a_zeroth_exact": [ -3.490916698378375e-09, -7.854945227435016e-09 ], "ratio_mutual": -0.6665395799381121, "ratio_mutual_over_inertia_minus_1": -0.00015030099879598247, "ratio_first_order_pred_over_inertia_minus_1": -2.995276520922907e-05, "dev": [ 0.0006570558109357805, 0.0010215907582147299 ], "dev_winding": [ 0.0007631349577457147, 0.000875719147541254 ], "evol_vs_exact": [ 6.643257055571894e-10, -8.140010443469237e-09 ], "ratio_exact": -0.6127813206684605, "ratio_pred": -0.613004554197996, "inertia_ratio": -0.6666397765623665, "insitu_est": [ -1.157621890164934e-05, -7.834989599516703e-06 ], "band_gap_exact": 0.09093401930109124, "band_leak": 0.0011834643004924317, "single_body": [ { "leak": 0.0005919625737826895, "gap_exact": 0.09687318163123715 }, { "leak": 0.0005921752753115239, "gap_exact": 0.09630411926953553 } ], "tau_prime": [ 0.1, 0.15 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.0748976349354768, "tau_prime2_over_delta_1_delta": 0.11797885822131753 }, { "scale": 0.5, "a_chart": [ 2.550794391050422e-08, -3.908250147730404e-08 ], "a_winding": [ 2.5720404285253986e-08, -3.858403865249891e-08 ], "eps_cut": [ -2.124603747497659e-10, -4.984628248051324e-10 ], "pcut_0": [ 0.00020319831023039015, 0.00020319844290134367 ], "pcut_max_run": [ 0.0002049587924619066, 0.0002070690178041787 ], "a_evolution": [ 2.5507944168546015e-08, -3.9082501531753814e-08 ], "v_chart_0": [ 8.212231528481592e-16, 1.0451430141738673e-15 ], "a_pred": [ 2.550401803091889e-08, -3.907413232455814e-08 ], "a_pred_first_order": [ 2.572138063267527e-08, -3.858502098041496e-08 ], "a_free_cut": [ -2.1736260175637962e-10, -4.891113441431847e-10 ], "a_pred_winding": [ 2.5716271031569084e-08, -3.857620049419937e-08 ], "Epp": [ 0.0012485807897519574, 0.001872958284644003 ], "a_zeroth_exact": [ -2.1756824893261065e-10, -4.89570033414075e-10 ], "ratio_mutual": -0.6665861129735376, "ratio_mutual_over_inertia_minus_1": -7.433001555734453e-05, "ratio_first_order_pred_over_inertia_minus_1": -2.9952765209340093e-05, "dev": [ 0.00015393180715950194, 0.00021418652822235984 ], "dev_winding": [ 0.00016072523422350216, 0.00020318637395910777 ], "evol_vs_exact": [ 1.01161345966716e-08, 1.39320088798911e-09 ], "ratio_exact": -0.6526691728091452, "ratio_pred": -0.652708493155447, "inertia_ratio": -0.6666356640128148, "insitu_est": [ -1.157621890164934e-05, -7.834989599516703e-06 ], "band_gap_exact": 0.09440639578951426, "band_leak": 0.00029553964839279523, "single_body": [ { "leak": 0.00014818458039000948, "gap_exact": 0.09723588324384846 }, { "leak": 0.00014822954913051856, "gap_exact": 0.09686546351270398 } ], "tau_prime": [ 0.05, 0.075 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.0374488174677384, "tau_prime2_over_delta_1_delta": 0.02949471455532938 }, { "scale": 0.25, "a_chart": [ 6.4169616251116e-09, -9.677292933429238e-09 ], "a_winding": [ 6.429272706372765e-09, -9.644506437268185e-09 ], "eps_cut": [ -1.2311081261164834e-11, -3.278649616105226e-11 ], "pcut_0": [ 0.00020300193510149034, 0.00020300194885159014 ], "pcut_max_run": [ 0.0002031284849543858, 0.00020326388666854753 ], "a_evolution": [ 6.416961566742146e-09, -9.67729263546986e-09 ], "v_chart_0": [ 7.86172632005243e-16, -5.050506667420492e-15 ], "a_pred": [ 6.416769872307664e-09, -9.676855108777546e-09 ], "a_pred_first_order": [ 6.430355076827066e-09, -9.64628545827424e-09 ], "a_free_cut": [ -1.3585204519402458e-11, -3.056965050330619e-11 ], "a_pred_winding": [ 6.429077674580159e-09, -9.644080329813652e-09 ], "Epp": [ 0.0003121456789147159, 0.00046824103774068774 ], "a_zeroth_exact": [ -1.3588418085328494e-11, -3.057681736080665e-11 ], "ratio_mutual": -0.6666050877651133, "ratio_mutual_over_inertia_minus_1": -4.4276942756660276e-05, "ratio_first_order_pred_over_inertia_minus_1": -2.9952765209451115e-05, "dev": [ 2.988307322104866e-05, 4.524451867582435e-05 ], "dev_winding": [ 3.0335889917409986e-05, 4.418331660049901e-05 ], "evol_vs_exact": [ -9.096120190399404e-09, -3.0789537808217915e-08 ], "ratio_exact": -0.6630946969627064, "ratio_pred": -0.6631048827513425, "inertia_ratio": -0.6666346043073278, "insitu_est": [ -1.157621890164934e-05, -7.834989599516703e-06 ], "band_gap_exact": 0.09507257818617543, "band_leak": 7.236927057285847e-05, "single_body": [ { "leak": 3.705829180478126e-05, "gap_exact": 0.0973179058804885 }, { "leak": 3.7069033748449165e-05, "gap_exact": 0.09698969265840685 } ], "tau_prime": [ 0.025, 0.0375 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.0187244087338692, "tau_prime2_over_delta_1_delta": 0.007373678638832345 } ], "dev_extrapolated_tau0": [ -1.131252546904759e-05, -8.144235799549017e-06 ], "ratio_dev_extrapolated_tau0": -3.1647686673667353e-06, "insitu_estimate": [ -1.157621890164934e-05, -7.834989599516703e-06 ], "insitu_ratio_estimate": -3.7412293021326374e-06 }, { "case": "E: with gamma_1, gamma_2 times 0.5", "params": { "b1": { "M": 2.0, "tau": 0.1, "gamma": 0.0125, "sigma": 1, "coupling": "c" }, "b2": { "M": 3.0, "tau": 0.15, "gamma": 0.01, "sigma": 1, "coupling": "c" }, "xc": [ 3, 8 ], "widths": [ 1.3, 1.3 ], "top": false }, "tau0_gaps": { "delta_1": 2.002733465872758, "delta_f": 0.09522591936977687, "delta_2": 8.006948044096603, "delta": 0.09522591936977687, "body1": { "delta_1": 2.003373339336669, "delta_f": 0.09734446242924655 }, "body2": { "delta_1": 4.004003009464755, "delta_f": 0.09702962736520337 } }, "runs": [ { "scale": 1.0, "a_chart": [ 9.961720637902333e-08, -1.6252818705416903e-07 ], "a_winding": [ 1.0309902040229303e-07, -1.54616743630061e-07 ], "eps_cut": [ -3.4818140232696937e-09, -7.911443424108036e-09 ], "pcut_0": [ 0.00020398701490375692, 0.00020398848580910507 ], "pcut_max_run": [ 0.00023132542098986244, 0.00026542079380959796 ], "a_evolution": [ 9.961720641876274e-08, -1.6252818622800356e-07 ], "v_chart_0": [ 1.5496997840765414e-15, 7.711991260953534e-16 ], "a_pred": [ 9.956684691017993e-08, -1.6238731000073707e-07 ], "a_pred_first_order": [ 1.0305619657296214e-07, -1.545411274738116e-07 ], "a_free_cut": [ -3.489349662782211e-09, -7.846182526925485e-09 ], "a_pred_winding": [ 1.0303572426381479e-07, -1.5450579957065156e-07 ], "Epp": [ 0.005002608108152657, 0.007501592008132361 ], "a_zeroth_exact": [ -3.5026058189767525e-09, -7.875760085884601e-09 ], "ratio_mutual": -0.6667843125355384, "ratio_mutual_over_inertia_minus_1": -0.0001327783575431063, "ratio_first_order_pred_over_inertia_minus_1": -2.9952765209451115e-05, "dev": [ 0.0005057855140158107, 0.000867537330542012 ], "dev_winding": [ 0.0006143125496567148, 0.0007180575727108174 ], "evol_vs_exact": [ 3.9892111836081767e-10, -5.083213516776652e-09 ], "ratio_exact": -0.6129226455090028, "ratio_pred": -0.6131442593003603, "inertia_ratio": -0.6668728588184224, "insitu_est": [ 1.157621890164934e-05, 7.834989599516703e-06 ], "band_gap_exact": 0.09092582345185374, "band_leak": 0.001185294132223902, "single_body": [ { "leak": 0.0005929385633378637, "gap_exact": 0.09686924755088566 }, { "leak": 0.0005929583159981489, "gap_exact": 0.09629948319981319 } ], "tau_prime": [ 0.10125, 0.1515 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.07564661128483156, "tau_prime2_over_delta_1_delta": 0.120350233271566 }, { "scale": 0.5, "a_chart": [ 2.554948486977869e-08, -3.9133293052532707e-08 ], "a_winding": [ 2.576264112913557e-08, -3.863358177654601e-08 ], "eps_cut": [ -2.131562593568828e-10, -4.997112759866955e-10 ], "pcut_0": [ 0.00020319871060152733, 0.00020319878484904494 ], "pcut_max_run": [ 0.00020496454979190945, 0.00020707962680198072 ], "a_evolution": [ 2.554948495613656e-08, -3.913329309320272e-08 ], "v_chart_0": [ 7.090749299485515e-16, -9.121443489169103e-17 ], "a_pred": [ 2.554608812137846e-08, -3.9126086582561974e-08 ], "a_pred_first_order": [ 2.5764174599195793e-08, -3.863568981858934e-08 ], "a_free_cut": [ -2.1808647781733437e-10, -4.903967639726352e-10 ], "a_pred_winding": [ 2.575905649698689e-08, -3.862685774954246e-08 ], "Epp": [ 0.0012506581169871422, 0.001875417804370069 ], "a_zeroth_exact": [ -2.182936561538474e-10, -4.908588624098927e-10 ], "ratio_mutual": -0.6668259664790708, "ratio_mutual_over_inertia_minus_1": -6.462760279268842e-05, "ratio_first_order_pred_over_inertia_minus_1": -2.995276520911805e-05, "dev": [ 0.00013296550078778502, 0.0001841858105466887 ], "dev_winding": [ 0.00013916007168579547, 0.0001740764689468488 ], "evol_vs_exact": [ 3.380024038435181e-09, 1.0392688931659677e-09 ], "ratio_exact": -0.6528835903352408, "ratio_pred": -0.6529170267890795, "inertia_ratio": -0.6668690646280943, "insitu_est": [ 1.157621890164934e-05, 7.834989599516703e-06 ], "band_gap_exact": 0.09440436026693266, "band_leak": 0.00029599323515483444, "single_body": [ { "leak": 0.00014842739772713553, "gap_exact": 0.09723490900488962 }, { "leak": 0.00014842190471264782, "gap_exact": 0.09686431003094009 } ], "tau_prime": [ 0.050625, 0.07575 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.03782330564241578, "tau_prime2_over_delta_1_delta": 0.0300875583178915 }, { "scale": 0.25, "a_chart": [ 6.427681404085343e-09, -9.690064565390518e-09 ], "a_winding": [ 6.440034375101487e-09, -9.657198094326671e-09 ], "eps_cut": [ -1.2352971016143467e-11, -3.2866471063847225e-11 ], "pcut_0": [ 0.00020300203570132143, 0.00020300203550342337 ], "pcut_max_run": [ 0.00020312894622244053, 0.00020326464086177466 ], "a_evolution": [ 6.427681515627411e-09, -9.690064718143815e-09 ], "v_chart_0": [ -2.0380274964907284e-16, 4.160835443975635e-16 ], "a_pred": [ 6.427421184648607e-09, -9.689598546903644e-09 ], "a_pred_first_order": [ 6.441051623258757e-09, -9.658948583331481e-09 ], "a_free_cut": [ -1.3630438610149492e-11, -3.0649963572163205e-11 ], "a_pred_winding": [ 6.439772096122589e-09, -9.656740560096776e-09 ], "Epp": [ 0.0003126649162986661, 0.00046885571940685766 ], "a_zeroth_exact": [ -1.363367595072295e-11, -3.065718377299145e-11 ], "ratio_mutual": -0.6668437126168115, "ratio_mutual_over_inertia_minus_1": -3.6549312619871266e-05, "ratio_first_order_pred_over_inertia_minus_1": -2.995276520922907e-05, "dev": [ 4.0485823047831104e-05, 4.809471564981571e-05 ], "dev_winding": [ 4.072799083298939e-05, 4.7379778616685186e-05 ], "evol_vs_exact": [ 1.7353390946439617e-08, 1.5763909066990323e-08 ], "ratio_exact": -0.6633269944395156, "ratio_pred": -0.6633320414190451, "inertia_ratio": -0.6668680861869698, "insitu_est": [ 1.157621890164934e-05, 7.834989599516703e-06 ], "band_gap_exact": 0.09507208552793678, "band_leak": 7.248328425601969e-05, "single_body": [ { "leak": 3.711892408042594e-05, "gap_exact": 0.09731766401074537 }, { "leak": 3.711691526819827e-05, "gap_exact": 0.096989406695005 } ], "tau_prime": [ 0.0253125, 0.037875 ], "c_factors": [ 0.7439002134928834, 0.7439002134928835 ], "tau_prime_over_delta_1": 0.01891165282120789, "tau_prime2_over_delta_1_delta": 0.007521889579472875 } ], "dev_extrapolated_tau0": [ 9.72373718491782e-06, 5.819620471031982e-06 ], "ratio_dev_extrapolated_tau0": 3.907413032945399e-06, "insitu_estimate": [ 1.157621890164934e-05, 7.834989599516703e-06 ], "insitu_ratio_estimate": 3.7412293021326374e-06 } ] }