Numerical study on Landau damping | |
Zhou, T ; Guo, Y ; Shu, CW | |
2001 | |
关键词 | Landau damping Maxwellian Vlasov-Poisson system VLASOV |
英文摘要 | We present a numerical study of the so-called Landau damping phenomenon in the Vlasov theory for spatially periodic plasmas in a nonlinear setting. It shows that the electric field does decay exponentially to zero as time goes to infinity with general analytical initial data which are close to a Maxwellian. The time decay depends on the length of the period as well as the closeness between the initial data and the Maxwellian. A similar pattern is observed if the Maxwellian is replaced by other algebraically decaying homogeneous equilibria with a single maximum, or even by some homogeneous equilibria with small double-humps. The numerical method used is a high order accurate hybrid spectral and finite difference scheme which is carefully calibrated with the well-known decay theory for the corresponding linear case, to guarantee a reliable resolution free of numerical artifacts for a long time integration. (C) 2001 Elsevier Science B.V. All rights reserved.; Mathematics, Applied; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); 21; ARTICLE; 4; 322-333; 157 |
语种 | 英语 |
出处 | SCI |
出版者 | physica d |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/258064] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Zhou, T,Guo, Y,Shu, CW. Numerical study on Landau damping. 2001-01-01. |
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