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Title: Study on longitudinal dispersion relation in one-dimensional relativistic plasma: Linear theory and Vlasov simulation

The dispersion relation of one-dimensional longitudinal plasma waves in relativistic homogeneous plasmas is investigated with both linear theory and Vlasov simulation in this paper. From the Vlasov-Poisson equations, the linear dispersion relation is derived for the proper one-dimensional J├╝ttner distribution. Numerically obtained linear dispersion relation as well as an approximate formula for plasma wave frequency in the long wavelength limit is given. The dispersion of longitudinal wave is also simulated with a relativistic Vlasov code. The real and imaginary parts of dispersion relation are well studied by varying wave number and plasma temperature. Simulation results are in agreement with established linear theory.
Authors:
; ; ;  [1] ;  [2] ;  [1]
  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088 (China)
  2. (China)
Publication Date:
OSTI Identifier:
22220579
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 9; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN-VLASOV EQUATION; DISPERSION RELATIONS; ELECTRON TEMPERATURE; HOMOGENEOUS PLASMA; ION TEMPERATURE; NUMERICAL ANALYSIS; PLASMA SIMULATION; PLASMA WAVES; POISSON EQUATION; RELATIVISTIC PLASMA; RELATIVISTIC RANGE