Fourier–Hermite spectral representation for the Vlasov–Poisson system in the weakly collisional limit
作者: Joseph T. ParkerPaul J. Dellar
作者单位: 1OCIAM , Mathematical Institute , University of Oxford , Andrew Wiles Building , Radcliffe Observatory Quarter , Woodstock Road , Oxford OX2 6GG , UK
刊名: Journal of Plasma Physics, 2015, Vol.81 (2)
来源数据库: Cambridge University Press Journal
DOI: 10.1017/S0022377814001287
原始语种摘要: We study Landau damping in the 1+1D Vlasov–Poisson system using a Fourier–Hermite spectral representation. We describe the propagation of free energy in Fourier–Hermite phase space using forwards and backwards propagating Hermite modes recently developed for gyrokinetic theory. We derive a free energy equation that relates the change in the electric field to the net Hermite flux out of the zeroth Hermite mode. In linear Landau damping, decay in the electric field corresponds to forward propagating Hermite modes; in nonlinear damping, the initial decay is followed by a growth phase characterized by the generation of backwards propagating Hermite modes by the nonlinear term. The free energy content of the backwards propagating modes increases exponentially until balancing that of the...
全文获取路径: Cambridge U Press 
影响因子:0.755 (2012)

  • spectral 谱的
  • propagating 传递
  • representation 表现
  • Poisson 泊松
  • system 
  • forward 促进
  • Landau 兰多牌汽车
  • filamentation 成丝作用
  • modes 模式
  • filtering 滤波