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Linear Instability of Three-Dimensional Dynamic Equilibrium States for Two-Component Vlasov–Poisson Plasma. / Gubarev, Yuriy G.; Luo, Jingyue.
в: Physics (Switzerland), Том 8, № 1, 28, 02.03.2026.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Linear Instability of Three-Dimensional Dynamic Equilibrium States for Two-Component Vlasov–Poisson Plasma
AU - Gubarev, Yuriy G.
AU - Luo, Jingyue
N1 - Gubarev, Yu. G. Linear Instability of Three-Dimensional Dynamic Equilibrium States for Two-Component Vlasov–Poisson Plasma / Yu. G. Gubarev, J. Luo // Physics (Switzerland). – 2026. – Vol. 8, No. 1. – P. 28. – DOI 10.3390/physics8010028. – EDN OCMXFM. J.L. gratefully acknowledges financial support by the China Scholarship Council.
PY - 2026/3/2
Y1 - 2026/3/2
N2 - 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.
AB - 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.
KW - Landau damping
KW - direct Lyapunov method
KW - instability
KW - small 3D perturbations
KW - spatial dynamic equilibrium states
KW - two-component Vlasov–Poisson plasma
KW - двухкомпонентная плазма Власова–Пуассона
KW - пространственные динамические равновесные состояния
KW - малые трехмерные возмущения
KW - прямой метод Ляпунова
KW - неустойчивость
KW - затухание Ландау
UR - https://www.mendeley.com/catalogue/bd397595-ba49-336c-aca8-126676b1fc7c/
UR - https://www.scopus.com/pages/publications/105034082315
UR - https://elibrary.ru/item.asp?id=90009024
U2 - 10.3390/physics8010028
DO - 10.3390/physics8010028
M3 - Article
VL - 8
JO - Physics
JF - Physics
SN - 2624-8174
IS - 1
M1 - 28
ER -
ID: 85125044