On Linear Landau Damping for Relativistic Plasmas via Gevrey Regularity
arXiv:1402.0992 · doi:10.1016/j.jde.2015.04.021
Abstract
We examine the phenomenon of Landau Damping in relativistic plasmas via a study of the relativistic Vlasov-Poisson system (both on the torus and on ) linearized around a sufficiently nice, spatially uniform kinetic equilibrium. We find that exponential decay of spatial Fourier modes is impossible under modest symmetry assumptions. However, by assuming the equilibrium and initial data are sufficiently regular functions of velocity for a given wavevector (in particular that they exhibit a kind of Gevrey regularity), we show that it is possible for the mode associated to this wavevector to decay sub-exponentially if its magnitude exceeds a certain critical size. We also give a heuristic argument why one should not expect such rapid decay for modes with wavevectors below this threshold.
Accepted for publication in J. Diff. Eqns. April 2015
References in corpus (1)
Cited by in corpus (5)
- An introduction to the relativistic kinetic theory on curved spacetimes
- Landau Damping in Relativistic Plasmas
- Phase space mixing in the equatorial plane of a Kerr black hole
- Microscopic foundations of kinetic plasma theory: The relativistic Vlasov--Maxwell equations and their radiation-reaction-corrected generalization
- Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit