# Figure 3 # Effective coulomb interactions # mean_width = 6.34000e-01 # Columns: r_axis V_ee V_ei 1.00000e-01 8.88047e-01 -1.25329e+00 1.07227e-01 8.87772e-01 -1.25252e+00 1.14976e-01 8.87456e-01 -1.25163e+00 1.23285e-01 8.87093e-01 -1.25061e+00 1.32194e-01 8.86675e-01 -1.24943e+00 1.41747e-01 8.86196e-01 -1.24809e+00 1.51991e-01 8.85645e-01 -1.24654e+00 1.62975e-01 8.85013e-01 -1.24477e+00 1.74753e-01 8.84287e-01 -1.24274e+00 1.87382e-01 8.83453e-01 -1.24041e+00 2.00923e-01 8.82497e-01 -1.23774e+00 2.15443e-01 8.81399e-01 -1.23469e+00 2.31013e-01 8.80140e-01 -1.23119e+00 2.47708e-01 8.78697e-01 -1.22719e+00 2.65609e-01 8.77043e-01 -1.22263e+00 2.84804e-01 8.75148e-01 -1.21742e+00 3.05386e-01 8.72979e-01 -1.21148e+00 3.27455e-01 8.70496e-01 -1.20471e+00 3.51119e-01 8.67658e-01 -1.19702e+00 3.76494e-01 8.64415e-01 -1.18828e+00 4.03702e-01 8.60714e-01 -1.17838e+00 4.32876e-01 8.56495e-01 -1.16719e+00 4.64159e-01 8.51690e-01 -1.15456e+00 4.97702e-01 8.46226e-01 -1.14036e+00 5.33670e-01 8.40024e-01 -1.12443e+00 5.72237e-01 8.32995e-01 -1.10663e+00 6.13591e-01 8.25048e-01 -1.08682e+00 6.57933e-01 8.16085e-01 -1.06487e+00 7.05480e-01 8.06002e-01 -1.04068e+00 7.56463e-01 7.94696e-01 -1.01418e+00 8.11131e-01 7.82064e-01 -9.85339e-01 8.69749e-01 7.68007e-01 -9.54169e-01 9.32603e-01 7.52438e-01 -9.20761e-01 1.00000e+00 7.35283e-01 -8.85271e-01 1.07227e+00 7.16490e-01 -8.47937e-01 1.14976e+00 6.96039e-01 -8.09079e-01 1.23285e+00 6.73945e-01 -7.69091e-01 1.32194e+00 6.50270e-01 -7.28427e-01 1.41747e+00 6.25129e-01 -6.87584e-01 1.51991e+00 5.98691e-01 -6.47068e-01 1.62975e+00 5.71183e-01 -6.07361e-01 1.74753e+00 5.42886e-01 -5.68892e-01 1.87382e+00 5.14123e-01 -5.32004e-01 2.00923e+00 4.85244e-01 -4.96941e-01 2.15443e+00 4.56608e-01 -4.63844e-01 2.31013e+00 4.28556e-01 -4.32760e-01 2.47708e+00 4.01388e-01 -4.03664e-01 2.65609e+00 3.75344e-01 -3.76483e-01 2.84804e+00 3.50596e-01 -3.51117e-01 3.05386e+00 3.27239e-01 -3.27454e-01 3.27455e+00 3.05306e-01 -3.05385e-01 3.51119e+00 2.84778e-01 -2.84804e-01 3.76494e+00 2.65602e-01 -2.65609e-01 4.03702e+00 2.47706e-01 -2.47708e-01 4.32876e+00 2.31013e-01 -2.31013e-01 4.64159e+00 2.15443e-01 -2.15443e-01 4.97702e+00 2.00923e-01 -2.00923e-01 5.33670e+00 1.87382e-01 -1.87382e-01 5.72237e+00 1.74753e-01 -1.74753e-01 6.13591e+00 1.62975e-01 -1.62975e-01 6.57933e+00 1.51991e-01 -1.51991e-01 7.05480e+00 1.41747e-01 -1.41747e-01 7.56463e+00 1.32194e-01 -1.32194e-01 8.11131e+00 1.23285e-01 -1.23285e-01 8.69749e+00 1.14976e-01 -1.14976e-01 9.32603e+00 1.07227e-01 -1.07227e-01 1.00000e+01 1.00000e-01 -1.00000e-01 1.07227e+01 9.32603e-02 -9.32603e-02 1.14976e+01 8.69749e-02 -8.69749e-02 1.23285e+01 8.11131e-02 -8.11131e-02 1.32194e+01 7.56463e-02 -7.56463e-02 1.41747e+01 7.05480e-02 -7.05480e-02 1.51991e+01 6.57933e-02 -6.57933e-02 1.62975e+01 6.13591e-02 -6.13591e-02 1.74753e+01 5.72237e-02 -5.72237e-02 1.87382e+01 5.33670e-02 -5.33670e-02 2.00923e+01 4.97702e-02 -4.97702e-02 2.15443e+01 4.64159e-02 -4.64159e-02 2.31013e+01 4.32876e-02 -4.32876e-02 2.47708e+01 4.03702e-02 -4.03702e-02 2.65609e+01 3.76494e-02 -3.76494e-02 2.84804e+01 3.51119e-02 -3.51119e-02 3.05386e+01 3.27455e-02 -3.27455e-02 3.27455e+01 3.05386e-02 -3.05386e-02 3.51119e+01 2.84804e-02 -2.84804e-02 3.76494e+01 2.65609e-02 -2.65609e-02 4.03702e+01 2.47708e-02 -2.47708e-02 4.32876e+01 2.31013e-02 -2.31013e-02 4.64159e+01 2.15443e-02 -2.15443e-02 4.97702e+01 2.00923e-02 -2.00923e-02 5.33670e+01 1.87382e-02 -1.87382e-02 5.72237e+01 1.74753e-02 -1.74753e-02 6.13591e+01 1.62975e-02 -1.62975e-02 6.57933e+01 1.51991e-02 -1.51991e-02 7.05480e+01 1.41747e-02 -1.41747e-02 7.56463e+01 1.32194e-02 -1.32194e-02 8.11131e+01 1.23285e-02 -1.23285e-02 8.69749e+01 1.14976e-02 -1.14976e-02 9.32603e+01 1.07227e-02 -1.07227e-02 1.00000e+02 1.00000e-02 -1.00000e-02 # mean_width = 1.03200e+00 # Columns: r_axis V_ee V_ei 1.00000e-01 5.46268e-01 -7.71936e-01 1.07227e-01 5.46204e-01 -7.71755e-01 1.14976e-01 5.46130e-01 -7.71548e-01 1.23285e-01 5.46046e-01 -7.71309e-01 1.32194e-01 5.45949e-01 -7.71035e-01 1.41747e-01 5.45837e-01 -7.70720e-01 1.51991e-01 5.45709e-01 -7.70358e-01 1.62975e-01 5.45561e-01 -7.69942e-01 1.74753e-01 5.45392e-01 -7.69465e-01 1.87382e-01 5.45197e-01 -7.68917e-01 2.00923e-01 5.44973e-01 -7.68287e-01 2.15443e-01 5.44716e-01 -7.67565e-01 2.31013e-01 5.44421e-01 -7.66735e-01 2.47708e-01 5.44082e-01 -7.65784e-01 2.65609e-01 5.43692e-01 -7.64692e-01 2.84804e-01 5.43245e-01 -7.63441e-01 3.05386e-01 5.42732e-01 -7.62007e-01 3.27455e-01 5.42143e-01 -7.60364e-01 3.51119e-01 5.41467e-01 -7.58483e-01 3.76494e-01 5.40692e-01 -7.56331e-01 4.03702e-01 5.39803e-01 -7.53870e-01 4.32876e-01 5.38784e-01 -7.51059e-01 4.64159e-01 5.37618e-01 -7.47850e-01 4.97702e-01 5.36282e-01 -7.44191e-01 5.33670e-01 5.34753e-01 -7.40025e-01 5.72237e-01 5.33005e-01 -7.35287e-01 6.13591e-01 5.31008e-01 -7.29909e-01 6.57933e-01 5.28729e-01 -7.23815e-01 7.05480e-01 5.26131e-01 -7.16923e-01 7.56463e-01 5.23173e-01 -7.09150e-01 8.11131e-01 5.19809e-01 -7.00406e-01 8.69749e-01 5.15990e-01 -6.90600e-01 9.32603e-01 5.11663e-01 -6.79643e-01 1.00000e+00 5.06770e-01 -6.67451e-01 1.07227e+00 5.01252e-01 -6.53945e-01 1.14976e+00 4.95045e-01 -6.39062e-01 1.23285e+00 4.88085e-01 -6.22757e-01 1.32194e+00 4.80310e-01 -6.05011e-01 1.41747e+00 4.71659e-01 -5.85838e-01 1.51991e+00 4.62077e-01 -5.65290e-01 1.62975e+00 4.51521e-01 -5.43466e-01 1.74753e+00 4.39958e-01 -5.20512e-01 1.87382e+00 4.27376e-01 -4.96626e-01 2.00923e+00 4.13785e-01 -4.72049e-01 2.15443e+00 3.99225e-01 -4.47063e-01 2.31013e+00 3.83765e-01 -4.21973e-01 2.47708e+00 3.67510e-01 -3.97088e-01 2.65609e+00 3.50601e-01 -3.72706e-01 2.84804e+00 3.33210e-01 -3.49088e-01 3.05386e+00 3.15536e-01 -3.26445e-01 3.27455e+00 2.97795e-01 -3.04925e-01 3.51119e+00 2.80208e-01 -2.84613e-01 3.76494e+00 2.62982e-01 -2.65539e-01 4.03702e+00 2.46302e-01 -2.47685e-01 4.32876e+00 2.30316e-01 -2.31007e-01 4.64159e+00 2.15127e-01 -2.15442e-01 4.97702e+00 2.00793e-01 -2.00923e-01 5.33670e+00 1.87334e-01 -1.87382e-01 5.72237e+00 1.74737e-01 -1.74753e-01 6.13591e+00 1.62971e-01 -1.62975e-01 6.57933e+00 1.51990e-01 -1.51991e-01 7.05480e+00 1.41747e-01 -1.41747e-01 7.56463e+00 1.32194e-01 -1.32194e-01 8.11131e+00 1.23285e-01 -1.23285e-01 8.69749e+00 1.14976e-01 -1.14976e-01 9.32603e+00 1.07227e-01 -1.07227e-01 1.00000e+01 1.00000e-01 -1.00000e-01 1.07227e+01 9.32603e-02 -9.32603e-02 1.14976e+01 8.69749e-02 -8.69749e-02 1.23285e+01 8.11131e-02 -8.11131e-02 1.32194e+01 7.56463e-02 -7.56463e-02 1.41747e+01 7.05480e-02 -7.05480e-02 1.51991e+01 6.57933e-02 -6.57933e-02 1.62975e+01 6.13591e-02 -6.13591e-02 1.74753e+01 5.72237e-02 -5.72237e-02 1.87382e+01 5.33670e-02 -5.33670e-02 2.00923e+01 4.97702e-02 -4.97702e-02 2.15443e+01 4.64159e-02 -4.64159e-02 2.31013e+01 4.32876e-02 -4.32876e-02 2.47708e+01 4.03702e-02 -4.03702e-02 2.65609e+01 3.76494e-02 -3.76494e-02 2.84804e+01 3.51119e-02 -3.51119e-02 3.05386e+01 3.27455e-02 -3.27455e-02 3.27455e+01 3.05386e-02 -3.05386e-02 3.51119e+01 2.84804e-02 -2.84804e-02 3.76494e+01 2.65609e-02 -2.65609e-02 4.03702e+01 2.47708e-02 -2.47708e-02 4.32876e+01 2.31013e-02 -2.31013e-02 4.64159e+01 2.15443e-02 -2.15443e-02 4.97702e+01 2.00923e-02 -2.00923e-02 5.33670e+01 1.87382e-02 -1.87382e-02 5.72237e+01 1.74753e-02 -1.74753e-02 6.13591e+01 1.62975e-02 -1.62975e-02 6.57933e+01 1.51991e-02 -1.51991e-02 7.05480e+01 1.41747e-02 -1.41747e-02 7.56463e+01 1.32194e-02 -1.32194e-02 8.11131e+01 1.23285e-02 -1.23285e-02 8.69749e+01 1.14976e-02 -1.14976e-02 9.32603e+01 1.07227e-02 -1.07227e-02 1.00000e+02 1.00000e-02 -1.00000e-02 # mean_width = 1.53800e+00 # Columns: r_axis V_ee V_ei 1.00000e-01 3.66704e-01 -5.18415e-01 1.07227e-01 3.66685e-01 -5.18361e-01 1.14976e-01 3.66663e-01 -5.18298e-01 1.23285e-01 3.66637e-01 -5.18226e-01 1.32194e-01 3.66608e-01 -5.18143e-01 1.41747e-01 3.66574e-01 -5.18047e-01 1.51991e-01 3.66535e-01 -5.17937e-01 1.62975e-01 3.66490e-01 -5.17811e-01 1.74753e-01 3.66439e-01 -5.17666e-01 1.87382e-01 3.66380e-01 -5.17500e-01 2.00923e-01 3.66312e-01 -5.17309e-01 2.15443e-01 3.66234e-01 -5.17089e-01 2.31013e-01 3.66145e-01 -5.16836e-01 2.47708e-01 3.66042e-01 -5.16546e-01 2.65609e-01 3.65924e-01 -5.16213e-01 2.84804e-01 3.65788e-01 -5.15831e-01 3.05386e-01 3.65632e-01 -5.15392e-01 3.27455e-01 3.65452e-01 -5.14888e-01 3.51119e-01 3.65246e-01 -5.14309e-01 3.76494e-01 3.65010e-01 -5.13646e-01 4.03702e-01 3.64738e-01 -5.12884e-01 4.32876e-01 3.64426e-01 -5.12012e-01 4.64159e-01 3.64068e-01 -5.11012e-01 4.97702e-01 3.63657e-01 -5.09867e-01 5.33670e-01 3.63186e-01 -5.08556e-01 5.72237e-01 3.62645e-01 -5.07056e-01 6.13591e-01 3.62025e-01 -5.05341e-01 6.57933e-01 3.61315e-01 -5.03383e-01 7.05480e-01 3.60502e-01 -5.01148e-01 7.56463e-01 3.59570e-01 -4.98601e-01 8.11131e-01 3.58505e-01 -4.95702e-01 8.69749e-01 3.57287e-01 -4.92407e-01 9.32603e-01 3.55897e-01 -4.88668e-01 1.00000e+00 3.54310e-01 -4.84434e-01 1.07227e+00 3.52501e-01 -4.79649e-01 1.14976e+00 3.50442e-01 -4.74255e-01 1.23285e+00 3.48102e-01 -4.68193e-01 1.32194e+00 3.45448e-01 -4.61402e-01 1.41747e+00 3.42441e-01 -4.53822e-01 1.51991e+00 3.39044e-01 -4.45397e-01 1.62975e+00 3.35215e-01 -4.36078e-01 1.74753e+00 3.30912e-01 -4.25825e-01 1.87382e+00 3.26093e-01 -4.14612e-01 2.00923e+00 3.20714e-01 -4.02433e-01 2.15443e+00 3.14736e-01 -3.89303e-01 2.31013e+00 3.08125e-01 -3.75265e-01 2.47708e+00 3.00853e-01 -3.60396e-01 2.65609e+00 2.92902e-01 -3.44803e-01 2.84804e+00 2.84267e-01 -3.28627e-01 3.05386e+00 2.74961e-01 -3.12039e-01 3.27455e+00 2.65015e-01 -2.95233e-01 3.51119e+00 2.54482e-01 -2.78415e-01 3.76494e+00 2.43441e-01 -2.61793e-01 4.03702e+00 2.31991e-01 -2.45560e-01 4.32876e+00 2.20254e-01 -2.29885e-01 4.64159e+00 2.08368e-01 -2.14895e-01 4.97702e+00 1.96478e-01 -2.00680e-01 5.33670e+00 1.84731e-01 -1.87284e-01 5.72237e+00 1.73265e-01 -1.74718e-01 6.13591e+00 1.62195e-01 -1.62964e-01 6.57933e+00 1.51613e-01 -1.51988e-01 7.05480e+00 1.41580e-01 -1.41747e-01 7.56463e+00 1.32127e-01 -1.32194e-01 8.11131e+00 1.23261e-01 -1.23285e-01 8.69749e+00 1.14968e-01 -1.14976e-01 9.32603e+00 1.07225e-01 -1.07227e-01 1.00000e+01 9.99996e-02 -1.00000e-01 1.07227e+01 9.32603e-02 -9.32603e-02 1.14976e+01 8.69749e-02 -8.69749e-02 1.23285e+01 8.11131e-02 -8.11131e-02 1.32194e+01 7.56463e-02 -7.56463e-02 1.41747e+01 7.05480e-02 -7.05480e-02 1.51991e+01 6.57933e-02 -6.57933e-02 1.62975e+01 6.13591e-02 -6.13591e-02 1.74753e+01 5.72237e-02 -5.72237e-02 1.87382e+01 5.33670e-02 -5.33670e-02 2.00923e+01 4.97702e-02 -4.97702e-02 2.15443e+01 4.64159e-02 -4.64159e-02 2.31013e+01 4.32876e-02 -4.32876e-02 2.47708e+01 4.03702e-02 -4.03702e-02 2.65609e+01 3.76494e-02 -3.76494e-02 2.84804e+01 3.51119e-02 -3.51119e-02 3.05386e+01 3.27455e-02 -3.27455e-02 3.27455e+01 3.05386e-02 -3.05386e-02 3.51119e+01 2.84804e-02 -2.84804e-02 3.76494e+01 2.65609e-02 -2.65609e-02 4.03702e+01 2.47708e-02 -2.47708e-02 4.32876e+01 2.31013e-02 -2.31013e-02 4.64159e+01 2.15443e-02 -2.15443e-02 4.97702e+01 2.00923e-02 -2.00923e-02 5.33670e+01 1.87382e-02 -1.87382e-02 5.72237e+01 1.74753e-02 -1.74753e-02 6.13591e+01 1.62975e-02 -1.62975e-02 6.57933e+01 1.51991e-02 -1.51991e-02 7.05480e+01 1.41747e-02 -1.41747e-02 7.56463e+01 1.32194e-02 -1.32194e-02 8.11131e+01 1.23285e-02 -1.23285e-02 8.69749e+01 1.14976e-02 -1.14976e-02 9.32603e+01 1.07227e-02 -1.07227e-02 1.00000e+02 1.00000e-02 -1.00000e-02 # mean_width = 2.16900e+00 # Columns: r_axis V_ee V_ei 1.00000e-01 2.60069e-01 -3.67728e-01 1.07227e-01 2.60062e-01 -3.67708e-01 1.14976e-01 2.60054e-01 -3.67686e-01 1.23285e-01 2.60045e-01 -3.67660e-01 1.32194e-01 2.60035e-01 -3.67631e-01 1.41747e-01 2.60023e-01 -3.67597e-01 1.51991e-01 2.60009e-01 -3.67557e-01 1.62975e-01 2.59993e-01 -3.67512e-01 1.74753e-01 2.59974e-01 -3.67461e-01 1.87382e-01 2.59953e-01 -3.67401e-01 2.00923e-01 2.59929e-01 -3.67333e-01 2.15443e-01 2.59901e-01 -3.67254e-01 2.31013e-01 2.59869e-01 -3.67164e-01 2.47708e-01 2.59833e-01 -3.67060e-01 2.65609e-01 2.59790e-01 -3.66941e-01 2.84804e-01 2.59742e-01 -3.66804e-01 3.05386e-01 2.59686e-01 -3.66646e-01 3.27455e-01 2.59622e-01 -3.66466e-01 3.51119e-01 2.59548e-01 -3.66258e-01 3.76494e-01 2.59463e-01 -3.66019e-01 4.03702e-01 2.59366e-01 -3.65745e-01 4.32876e-01 2.59254e-01 -3.65431e-01 4.64159e-01 2.59126e-01 -3.65070e-01 4.97702e-01 2.58978e-01 -3.64655e-01 5.33670e-01 2.58809e-01 -3.64180e-01 5.72237e-01 2.58614e-01 -3.63635e-01 6.13591e-01 2.58391e-01 -3.63010e-01 6.57933e-01 2.58134e-01 -3.62294e-01 7.05480e-01 2.57840e-01 -3.61474e-01 7.56463e-01 2.57502e-01 -3.60535e-01 8.11131e-01 2.57115e-01 -3.59461e-01 8.69749e-01 2.56671e-01 -3.58233e-01 9.32603e-01 2.56163e-01 -3.56831e-01 1.00000e+00 2.55580e-01 -3.55231e-01 1.07227e+00 2.54913e-01 -3.53408e-01 1.14976e+00 2.54150e-01 -3.51333e-01 1.23285e+00 2.53279e-01 -3.48975e-01 1.32194e+00 2.52283e-01 -3.46299e-01 1.41747e+00 2.51147e-01 -3.43270e-01 1.51991e+00 2.49852e-01 -3.39846e-01 1.62975e+00 2.48378e-01 -3.35989e-01 1.74753e+00 2.46704e-01 -3.31654e-01 1.87382e+00 2.44804e-01 -3.26799e-01 2.00923e+00 2.42653e-01 -3.21382e-01 2.15443e+00 2.40223e-01 -3.15363e-01 2.31013e+00 2.37484e-01 -3.08707e-01 2.47708e+00 2.34408e-01 -3.01388e-01 2.65609e+00 2.30962e-01 -2.93387e-01 2.84804e+00 2.27118e-01 -2.84701e-01 3.05386e+00 2.22847e-01 -2.75342e-01 3.27455e+00 2.18126e-01 -2.65344e-01 3.51119e+00 2.12934e-01 -2.54760e-01 3.76494e+00 2.07261e-01 -2.43669e-01 4.03702e+00 2.01103e-01 -2.32174e-01 4.32876e+00 1.94470e-01 -2.20395e-01 4.64159e+00 1.87386e-01 -2.08472e-01 4.97702e+00 1.79889e-01 -1.96552e-01 5.33670e+00 1.72036e-01 -1.84782e-01 5.72237e+00 1.63899e-01 -1.73297e-01 6.13591e+00 1.55566e-01 -1.62214e-01 6.57933e+00 1.47133e-01 -1.51624e-01 7.05480e+00 1.38706e-01 -1.41585e-01 7.56463e+00 1.30389e-01 -1.32130e-01 8.11131e+00 1.22276e-01 -1.23262e-01 8.69749e+00 1.14450e-01 -1.14969e-01 9.32603e+00 1.06973e-01 -1.07225e-01 1.00000e+01 9.98886e-02 -9.99996e-02 1.07227e+01 9.32162e-02 -9.32603e-02 1.14976e+01 8.69594e-02 -8.69749e-02 1.23285e+01 8.11083e-02 -8.11131e-02 1.32194e+01 7.56451e-02 -7.56463e-02 1.41747e+01 7.05478e-02 -7.05480e-02 1.51991e+01 6.57933e-02 -6.57933e-02 1.62975e+01 6.13591e-02 -6.13591e-02 1.74753e+01 5.72237e-02 -5.72237e-02 1.87382e+01 5.33670e-02 -5.33670e-02 2.00923e+01 4.97702e-02 -4.97702e-02 2.15443e+01 4.64159e-02 -4.64159e-02 2.31013e+01 4.32876e-02 -4.32876e-02 2.47708e+01 4.03702e-02 -4.03702e-02 2.65609e+01 3.76494e-02 -3.76494e-02 2.84804e+01 3.51119e-02 -3.51119e-02 3.05386e+01 3.27455e-02 -3.27455e-02 3.27455e+01 3.05386e-02 -3.05386e-02 3.51119e+01 2.84804e-02 -2.84804e-02 3.76494e+01 2.65609e-02 -2.65609e-02 4.03702e+01 2.47708e-02 -2.47708e-02 4.32876e+01 2.31013e-02 -2.31013e-02 4.64159e+01 2.15443e-02 -2.15443e-02 4.97702e+01 2.00923e-02 -2.00923e-02 5.33670e+01 1.87382e-02 -1.87382e-02 5.72237e+01 1.74753e-02 -1.74753e-02 6.13591e+01 1.62975e-02 -1.62975e-02 6.57933e+01 1.51991e-02 -1.51991e-02 7.05480e+01 1.41747e-02 -1.41747e-02 7.56463e+01 1.32194e-02 -1.32194e-02 8.11131e+01 1.23285e-02 -1.23285e-02 8.69749e+01 1.14976e-02 -1.14976e-02 9.32603e+01 1.07227e-02 -1.07227e-02 1.00000e+02 1.00000e-02 -1.00000e-02