Two-flow instability of particular class of one-dimensional dynamic equilibrium states of Vlasov-Poisson plasma

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Two-flow instability of particular class of one-dimensional dynamic equilibrium states of Vlasov-Poisson plasma. / Gubarev, Yuriy G.

In: Plasma Research Express, Vol. 1, No. 4, 045008, 02.12.2019.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d7e4519a5b904b518311c96f18316ffb,

title = "Two-flow instability of particular class of one-dimensional dynamic equilibrium states of Vlasov-Poisson plasma",

abstract = "The problem on linear stability of the subclass of one-dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov-Poisson plasma) is studied. By the direct Lyapunov method, we prove that these equilibrium states are absolutely unstable relative to small 1D perturbations when the Vlasov-Poisson plasma contains electrons and a single species of ions which stationary distribution functions are isotropic on the physical space but dependent on velocity. We state sufficient conditions for linear practical instability; for small 1D perturbations growing over time, we construct the a priori exponential lower estimate and describe the initial data. In addition, we construct the analytical example of the studied 1D states of dynamic equilibrium and their small perturbations of the same type of symmetry growing over time according to the obtained estimate. ",

keywords = "Direct Lyapunov method, Dynamic equilibrium states, Instability, Vlasov-Poisson plasma",

author = "Gubarev, {Yuriy G.}",

year = "2019",

month = dec,

day = "2",

doi = "10.1088/2516-1067/ab5ac0",

language = "English",

volume = "1",

journal = "Plasma Research Express",

issn = "2516-1067",

publisher = "IOP Publishing Ltd.",

number = "4",

}

RIS

TY - JOUR

T1 - Two-flow instability of particular class of one-dimensional dynamic equilibrium states of Vlasov-Poisson plasma

AU - Gubarev, Yuriy G.

PY - 2019/12/2

Y1 - 2019/12/2

N2 - The problem on linear stability of the subclass of one-dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov-Poisson plasma) is studied. By the direct Lyapunov method, we prove that these equilibrium states are absolutely unstable relative to small 1D perturbations when the Vlasov-Poisson plasma contains electrons and a single species of ions which stationary distribution functions are isotropic on the physical space but dependent on velocity. We state sufficient conditions for linear practical instability; for small 1D perturbations growing over time, we construct the a priori exponential lower estimate and describe the initial data. In addition, we construct the analytical example of the studied 1D states of dynamic equilibrium and their small perturbations of the same type of symmetry growing over time according to the obtained estimate.

AB - The problem on linear stability of the subclass of one-dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov-Poisson plasma) is studied. By the direct Lyapunov method, we prove that these equilibrium states are absolutely unstable relative to small 1D perturbations when the Vlasov-Poisson plasma contains electrons and a single species of ions which stationary distribution functions are isotropic on the physical space but dependent on velocity. We state sufficient conditions for linear practical instability; for small 1D perturbations growing over time, we construct the a priori exponential lower estimate and describe the initial data. In addition, we construct the analytical example of the studied 1D states of dynamic equilibrium and their small perturbations of the same type of symmetry growing over time according to the obtained estimate.

KW - Direct Lyapunov method

KW - Dynamic equilibrium states

KW - Instability

KW - Vlasov-Poisson plasma

UR - http://www.scopus.com/inward/record.url?scp=85092553838&partnerID=8YFLogxK

U2 - 10.1088/2516-1067/ab5ac0

DO - 10.1088/2516-1067/ab5ac0

M3 - Article

AN - SCOPUS:85092553838

VL - 1

JO - Plasma Research Express

JF - Plasma Research Express

SN - 2516-1067

IS - 4

M1 - 045008

ER -

ID: 25675426