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Head-on collision of nonlinear solitary solutions to Vlasov-Poisson equations
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
2019 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 26, no 2, article id 022303Article in journal (Refereed) Published
Abstract [en]

Nonlinear solitary solutions to the Vlasov-Poisson set of equations are studied in order to investigate their stability by employing a fully kinetic simulation approach. This study is carried out in the ion-acoustic regime for a collisionless, electrostatic, and Maxwellian electron-ion plasma. The trapped population of electrons is modeled based on the well-known Schamel distribution function. Head-on mutual collisions of nonlinear solutions are performed in order to examine their collisional stability. The findings include three major aspects: (I) These nonlinear solutions are found to be divided into three categories based on their Mach numbers, i.e., stable, semi-stable, and unstable. Semi-stable solutions indicate a smooth transition from stable to unstable solutions for the increasing Mach number. (II) The stability of solutions is traced back to a condition imposed on averaged velocities, i.e., net neutrality. It is shown that a bipolar structure is produced in the flux of electrons, early in the temporal evolution. This bipolar structure acts as the seed of the net-neutrality instability, which tips off the energy balance of nonlinear solution during collisions. As the Mach number increases, the amplitude of the bipolar structure grows and results in a stronger instability. (III) It is established that during mutual collisions, a merging process of electron holes can occur to a variety of degrees, based on their velocity characteristics. Specifically, the number of rotations of electron holes around each other (in the merging phase) varies. Furthermore, it is observed that in the case of a non-integer number of rotations, two electron holes exchange their phase space cores.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2019. Vol. 26, no 2, article id 022303
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-157593DOI: 10.1063/1.5078865ISI: 000460094400021OAI: oai:DiVA.org:umu-157593DiVA, id: diva2:1300721
Available from: 2019-03-29 Created: 2019-03-29 Last updated: 2019-03-29Bibliographically approved

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Jenab, S. M. HosseiniBrodin, Gert

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