Two-flow absolute linear instability for spherically symmetric states of dynamic equilibrium of Vlasov-Poisson plasma: a priori exponential lower estimate and counterexamples to some classical results

Two-flow absolute linear instability for spherically symmetric states of dynamic equilibrium of Vlasov-Poisson plasma: a priori exponential lower estimate and counterexamples to some classical results Full article

Conference

8th Euro-Asian Pulsed Power Conference, 23rd High Power Particle Beams Conference, 17th Megagauss Magnetic Field Generation and Related Topics Conference
29 Aug - 2 Sep 2021 , Biarritz

Source

Proceedings book of EAPPC, BEAMS & MEGAGAUSS 2020, August 29 to September 2, 2021, Biarritz, France
Compilation, EAPPC-BEAMS2020.ORG. Biarritz, France.2022. 392 c.

Output data

Year: 2022, Article number : #P1-7, Pages count : 4

Tags

Vlasov-Poisson plasma, dynamic equilibrium states, direct Lyapunov method, instability

Authors

Bibilova Sofya A. ¹ , Gubarev Yuriy G. ^1,2

Affiliations

1	Department for Differential Equations, Novosibirsk State University, NSU, Novosibirsk 630090, Russian Federation
2	Laboratory for Fluid and Gas Vortical Motions, Lavrentyev Institute for Hydrodynamics, LIH SB RAS, Novosibirsk 630090, Russian Federation

The problem on linear stability of particular class of spherically symmetric states of dynamic equilibrium of Vlasov-Poisson plasma, which contains electrons and a single species of ions, is considered. The absolute instability for these equilibrium states with respect to small spherically symmetric perturbations is proved by the direct Lyapunov method in the case when stationary distribution functions of electrons and ions are isotropic over the physical continuum, but variable in the velocity space. The a priori exponential lower estimate, which indicates the growth over time for the studied small perturbations, is derived. Constructive sufficient conditions for linear practical instability are identified. Illustrative analytical examples for the considered states of dynamic equilibrium and their small perturbations, which grow in time according to the obtained estimate, are constructed.

Bibilova S.A. , Gubarev Y.G.
Two-flow absolute linear instability for spherically symmetric states of dynamic equilibrium of Vlasov-Poisson plasma: a priori exponential lower estimate and counterexamples to some classical results
In compilation Proceedings book of EAPPC, BEAMS & MEGAGAUSS 2020, August 29 to September 2, 2021, Biarritz, France. – EAPPC-BEAMS2020.ORG., 2022. РИНЦ

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