Nonlinear instability of the one-dimensional Vlasov-Yukawa system

作者:Ha Seung Yeal*; Ha Taeyoung; Hwang Chi Ok; Lee Ho
来源:Journal of Mathematical Physics, 2011, 52(3): 033301.
DOI:10.1063/1.3559005

摘要

We discuss the nonlinear instability of some class of stationary solutions to the one-dimensional Vlasov-Yukawa system with a mass parameter m. The Vlasov-Yukawa system corresponds to the short-range correction of the repulsive Vlasov-Poisson system arising from plasma physics. We show that the stationary solutions satisfying the Penrose condition are nonlinearly unstable in small mass regime. In a large mass regime, the massiveness of force carrier particles acts as stabilizer in a finite time interval. We present several numerical results to confirm our analytical results.

  • 出版日期2011-3