Nonlinear instability of the one-dimensional Vlasov-Yukawa system
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematical Sciences, Seoul National University, Seoul 151-747 (Korea, Republic of)
- Division of Computational Sciences in Mathematics, National Institute for Mathematical Sciences, Daejon 305-390 (Korea, Republic of)
- School of General Studies, Gwangju Institute of Science and Technology, Gwangju 500-712 (Korea, Republic of)
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.
- OSTI ID:
- 21501293
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 52; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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