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Title: Driven electrostatic phase space vortices in a 1D weakly dissipative Vlasov–Poisson system

Abstract

In this paper, the effect of collisions on driven electrostatic phase space vortices is analyzed by means of Eulerian simulation for two different collision models. It was demonstrated recently that in the absence of collisions, at late times, steady state phase space vortices manifest to form a plateau in the resonant region of the particle velocity distribution function, due to trapping of particles supporting multiextrema giant phase space vortices (PSVs). In the presence of collisions, over long time, this multiextrema plateau are found to smooth out, since collisions drive the velocity distribution toward Maxwellian, irrespective of how weak the collisions are as long as they are non-zero. In these conditions, kinetic processes and collisionality are found to be in competition, and the evolution of the plasma is found, therefore, to be a result of nontrivial combination of these two effects. An attempt has been made by means of numerical simulations to study the effect of weak collisionality on the electrostatic driven phase space vortices with two types of collision operators: (1) Bhatnagar–Gross–Krook (Krook) collision operator, where the colliding particles can be treated as isolated pairs and, (2) Fokker–Planck (FP) type collision operator (Zakharov–Karpman) in one dimension, where many weak collisionsmore » lead to particle diffusion in velocity space. It is shown that depending on the collision model used, the nature of smoothing in velocity space of giant PSVs results in qualitatively very different phase space structures. However, irrespective of the collision model used, excess density fractions over 10% are retained.« less

Authors:
 [1];  [1]
  1. Homi Bhabha National Institute (HBNI), Gandhinagar (India). Institute For Plasma Research
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1657456
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 27; Journal Issue: 3; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Trivedi, Pallavi, and Ganesh, Rajaraman. Driven electrostatic phase space vortices in a 1D weakly dissipative Vlasov–Poisson system. United States: N. p., 2020. Web. https://doi.org/10.1063/1.5126874.
Trivedi, Pallavi, & Ganesh, Rajaraman. Driven electrostatic phase space vortices in a 1D weakly dissipative Vlasov–Poisson system. United States. https://doi.org/10.1063/1.5126874
Trivedi, Pallavi, and Ganesh, Rajaraman. Tue . "Driven electrostatic phase space vortices in a 1D weakly dissipative Vlasov–Poisson system". United States. https://doi.org/10.1063/1.5126874. https://www.osti.gov/servlets/purl/1657456.
@article{osti_1657456,
title = {Driven electrostatic phase space vortices in a 1D weakly dissipative Vlasov–Poisson system},
author = {Trivedi, Pallavi and Ganesh, Rajaraman},
abstractNote = {In this paper, the effect of collisions on driven electrostatic phase space vortices is analyzed by means of Eulerian simulation for two different collision models. It was demonstrated recently that in the absence of collisions, at late times, steady state phase space vortices manifest to form a plateau in the resonant region of the particle velocity distribution function, due to trapping of particles supporting multiextrema giant phase space vortices (PSVs). In the presence of collisions, over long time, this multiextrema plateau are found to smooth out, since collisions drive the velocity distribution toward Maxwellian, irrespective of how weak the collisions are as long as they are non-zero. In these conditions, kinetic processes and collisionality are found to be in competition, and the evolution of the plasma is found, therefore, to be a result of nontrivial combination of these two effects. An attempt has been made by means of numerical simulations to study the effect of weak collisionality on the electrostatic driven phase space vortices with two types of collision operators: (1) Bhatnagar–Gross–Krook (Krook) collision operator, where the colliding particles can be treated as isolated pairs and, (2) Fokker–Planck (FP) type collision operator (Zakharov–Karpman) in one dimension, where many weak collisions lead to particle diffusion in velocity space. It is shown that depending on the collision model used, the nature of smoothing in velocity space of giant PSVs results in qualitatively very different phase space structures. However, irrespective of the collision model used, excess density fractions over 10% are retained.},
doi = {10.1063/1.5126874},
journal = {Physics of Plasmas},
number = 3,
volume = 27,
place = {United States},
year = {2020},
month = {3}
}

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