Linear Instability of Three-Dimensional Dynamic Equilibrium States for Two-Component Vlasov–Poisson Plasma

Linear Instability of Three-Dimensional Dynamic Equilibrium States for Two-Component Vlasov–Poisson Plasma Full article

Journal

Physics
ISSN: 2624-8174

Output data

Year: 2026, Volume: 8, Number: 1, Article number : 28, Pages count : 16 DOI: 10.3390/physics8010028

Tags

two-component Vlasov–Poisson plasma; spatial dynamic equilibrium states; small 3D perturbations; direct Lyapunov method; instability; Landau damping

Authors

Gubarev Yuriy G. ^1,2 , Luo Jingyue ²

Affiliations

1	Laboratory for Explosion Physics, Lavrentyev Institute for Hydrodynamics, Lavrentyev Avenue 15, Akademgorodok, 630090 Novosibirsk, Russia
2	Department for Differential Equations, Novosibirsk State University, Pirogova Street 1, Akademgorodok, 630090 Novosibirsk, Russia

The problem of controlling plasma is one of the most essential challenges in the creation of experimental facilities for thermonuclear fusion. In this study, a mathematical model of a two-component Vlasov–Poisson plasma is used to study the stability of spatial dynamic equilibria in this plasma. Applying the direct Lyapunov method, we obtain results that demonstrate that three-dimensional (3D) dynamic equilibrium states of the Vlasov–Poisson plasma are absolutely unstable with respect to small spatial perturbations. The sufficient conditions for linear practical instability are obtained for the 3D dynamic equilibria of a two-component Vlasov–Poisson plasma. An a priori exponential lower estimate is constructed, and initial data are found for small spatial perturbations that grow with time. Finally, analytical examples are presented for exact stationary solutions to the mathematical model of Vlasov–Poisson plasma and the growing small 3D perturbations superimposed on these solutions.

Gubarev Y.G. , Luo J.
Linear Instability of Three-Dimensional Dynamic Equilibrium States for Two-Component Vlasov–Poisson Plasma
Physics. 2026. V.8. N1. 28 :1-16. DOI: 10.3390/physics8010028 WOS Scopus OpenAlex

Submitted:	Oct 28, 2025
Accepted:	Jan 22, 2026
Published online:	Mar 2, 2026

≡ Web of science:	WOS:001725375200001
≡ Scopus:	2-s2.0-105034082315
≡ OpenAlex:	W7133184104