Transcription of 流体プラズマ中の波動 - fusion.k.u-tokyo.ac.jp
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Unit 4.. n 1 = n1 exp[i(k x t + n )]. n1 : k: k = 2 / n: . k = kx , n = 0 . n 1 = n1 cos(k x x t). k vp = . k k Re( ) > 0 Im( ) > 0 Im( ) < 0 . Im(k) . E1 = E1 exp[i(k x - t)]. E 1 : + .. vg = = x + y + z . k k x k y k z . E1= 1 E1 = 0 B perturbation E perturbation . k // E1 k E1 = B1 = 0 electrostatic Electron plasma wave . /k vte - Vlasov eq.. u . mn e e + (u e )u e = en e E p e t . n e + (ne u e ) = 0. t 0 E = e(n i n e ) Z = 1 . u0 = 0, E0 = 0 u e = u e x , E = Ex 1 . i mn0 u1 = en 0 E1 ikp1 = en 0 E1 ik3Tn1 1-D adiabatic = 3 . i n1 + ikn0 u1 = 0. ik 0 E 1 = en 1.. i 2 mn 1 e 2 n 0 n 1. = + ik3Tn 1. k ik 0. = (k) . T. 2 = pe 2 + 3k 2 = pe 2 + 3k 2 v te 2 Bohm-Gross dispersion relation m ne e 2.
Soliton 非線形波動 波動振幅が大きくなると非線形効果が重要となってくる。 Ion Acoustic Soliton 変数を規格化
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