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Ion-acoustic shocks with self-regulated ion reflection and acceleration

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4945649· OSTI ID:1470316
 [1];  [2];  [3];  [4];  [5];  [2];  [2];  [2]
  1. Univ. of California, San Diego, CA (United States). Center for Astrophysics and Space Sciences (CASS) and Dept. of Physics; University of California, San Diego
  2. Univ. of Maryland, College Park, MD (United States)
  3. Univ. of Maryland, College Park, MD (United States); Russian Academy of Sciences (RAS), Novosibirsk (Russian Federation). Inst. of Computational Technologies
  4. Russian Academy of Sciences (RAS), Novosibirsk (Russian Federation). Inst. of Computational Technologies; Univ. of Rostock (Germany). Dept. of Physics
  5. Univ. of California, San Diego, CA (United States). Center for Astrophysics and Space Sciences (CASS) and Dept. of Physics
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Here, an analytic solution describing an ion-acoustic collisionless shock, self-consistently with the evolution of shock-reflected ions, is obtained. The solution extends the classic soliton solution beyond a critical Mach number, where the soliton ceases to exist because of the upstream ion reflection. The reflection transforms the soliton into a shock with a trailing wave and a foot populated by the reflected ions. The solution relates parameters of the entire shock structure, such as the maximum and minimum of the potential in the trailing wave, the height of the foot, as well as the shock Mach number, to the number of reflected ions. This relation is resolvable for any given distribution of the upstream ions. In this paper, we have resolved it for a simple “box” distribution. Two separate models of electron interaction with the shock are considered. The first model corresponds to the standard Boltzmannian electron distribution in which case the critical shock Mach number only insignificantly increases from M ≈ 1:6 (no ion reflection) to M ≈ 1:8 (substantial reflection). The second model corresponds to adiabatically trapped electrons. They produce a stronger increase, from M ≈ 3:1 to M ≈ 4:5. The shock foot that is supported by the reflected ions also accelerates them somewhat further. A self-similar foot expansion into the upstream medium is described analytically.
Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
National Aeronautic and Space Administration (NASA); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Contributing Organization:
John von Neumann Inst. for Computing (NIC), Julich (Germany)
Grant/Contract Number:
FG02-04ER54738
OSTI ID:
1470316
Alternate ID(s):
OSTI ID: 1247065
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 23; ISSN PHPAEN; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (8)

Lower-Hybrid Drift Instability and Macroscopic Flow of Colliding Magnetized Plasmas text January 2018
Structure of a collisionless pair jet in a magnetized electron–proton plasma: flow-aligned magnetic field journal January 2019
Lower-hybrid drift instability and macroscopic flow of colliding magnetized plasmas journal October 2018
Low Mach-number collisionless electrostatic shocks and associated ion acceleration journal January 2018
Shocks and phase space vortices driven by a density jump between two clouds of electrons and protons journal December 2019
Acceleration of Cosmic Rays in Supernova Shocks: Elemental Selectivity of the Injection Mechanism journal February 2019
Low Mach-number collisionless electrostatic shocks and associated ion acceleration text January 2017
Structure of a collisionless pair jet in a magnetized electron-proton plasma: flow-aligned magnetic field text January 2018

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