1304.5883 (Hua-sheng Xie)

A $1/t$ damped electrostatic electron plasma wave    [PDF]

Hua-sheng Xie

In an electron plasma, besides the exponentially Landau damped electron plasma waves, there can also exist modes, namely the ballistic or Case-Van Kampen modes, that usually decay faster (say, $\sim \exp(-t^2)$) than the linear Landau damping. In this paper, a slower (namely $\sim 1/t$) damped mode is considered. The latter resolves the paradox of why Landau damping is difficult to realize in the numerical simulations based solely on the Vlasov-Ampere (V-A) equations, even though the modes have the same dispersion properties as that obtained from the Vlasov-Poisson equations. The mode of interest here corresponds to a residual mode of the V-A system, and its spectrum is also discussed.

View original: http://arxiv.org/abs/1304.5883