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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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