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 |
|
||||
| Affiliations |
|
Funding (2)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0008 |
| 2 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0004 |
Abstract:
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.
Cite:
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
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
Identifiers:
| Elibrary: | 67357555 |
Citing:
Пока нет цитирований