Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas

F. Haas, B. Eliasson, and P. K. Shukla
Phys. Rev. E 85, 056411 – Published 18 May 2012

Abstract

A multistream model for spinless electrons in a relativistic quantum plasma is introduced by means of a suitable fluidlike version of the Klein-Gordon-Maxwell system. The one- and two-stream cases are treated in detail. A new linear instability condition for two-stream quantum plasmas is obtained, generalizing the previously known nonrelativistic results. In both the one- and two-stream cases, steady-state solutions reduce the model to a set of coupled nonlinear ordinary differential equations, which can be numerically solved, yielding a manifold of nonlinear periodic and soliton structures. The validity conditions for the applicability of the model are addressed.

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  • Received 19 February 2012

DOI:https://doi.org/10.1103/PhysRevE.85.056411

©2012 American Physical Society

Authors & Affiliations

F. Haas

  • Departamento de Física, Universidade Federal do Paraná, 81531-990 Curitiba, Paraná, Brazil

B. Eliasson

  • International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Faculty of Physics & Astronomy, Ruhr University Bochum, D-44780 Bochum, Germany

P. K. Shukla

  • International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Faculty of Physics & Astronomy, Ruhr University Bochum, D-44780 Bochum, Germany and Department of Mechanical and Aerospace Engineering & Center for Energy Research, University of California San Diego, La Jolla, California 92093, USA

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Vol. 85, Iss. 5 — May 2012

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