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Title: Space-Charge Effects in the Current-Filamentation or Weibel Instability

Abstract

We consider how an unmagnetized plasma responds to an incoming flux of energetic electrons. We assume a return current is present and allow for the incoming electrons to have a different transverse temperature than the return current. To analyze this configuration we present a nonrelativistic theory of the current-filamentation or Weibel instability for rigorously current-neutral and nonseparable distribution functions, f{sub 0}(p{sub x},p{sub y},p{sub z}){ne}f{sub x}(p{sub x})f{sub y}(p{sub y})f{sub z}(p{sub z}). We find that such distribution functions lead to lower growth rates because of space-charge forces that arise when the forward-going electrons pinch to a lesser degree than the colder, backward-flowing electrons. We verify the growth rate, range of unstable wave numbers, and the formation of the density filaments using particle-in-cell simulations.

Authors:
 [1];  [2]; ;  [3];  [1];  [4]; ; ;  [5]
  1. Department of Electrical Engineering, University of California, Los Angeles, California 90095 (United States)
  2. Departments of Mechanical Engineering and Physics and Astronomy, University of Rochester, Rochester, New York 14623, USA and Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14623 (United States)
  3. Department of Physics and Astronomy, University of California, Los Angeles, California 90095 (United States)
  4. (United States)
  5. GoLP/Centro de Fisica dos Plasmas, Instituto Superior Tecnico, 1049-001 Lisbon (Portugal)
Publication Date:
OSTI Identifier:
20777088
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevLett.96.105002; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DISTRIBUTION FUNCTIONS; ELECTRON TEMPERATURE; ION TEMPERATURE; NEUTRAL CURRENTS; PLASMA; PLASMA DENSITY; PLASMA INSTABILITY; PLASMA SIMULATION; SPACE CHARGE; TAIL ELECTRONS

Citation Formats

Tzoufras, M., Ren, C., Tsung, F.S., Tonge, J.W., Mori, W.B., Department of Physics and Astronomy, University of California, Los Angeles, California 90095, Fiore, M., Fonseca, R.A., and Silva, L.O.. Space-Charge Effects in the Current-Filamentation or Weibel Instability. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.96.105002.
Tzoufras, M., Ren, C., Tsung, F.S., Tonge, J.W., Mori, W.B., Department of Physics and Astronomy, University of California, Los Angeles, California 90095, Fiore, M., Fonseca, R.A., & Silva, L.O.. Space-Charge Effects in the Current-Filamentation or Weibel Instability. United States. doi:10.1103/PhysRevLett.96.105002.
Tzoufras, M., Ren, C., Tsung, F.S., Tonge, J.W., Mori, W.B., Department of Physics and Astronomy, University of California, Los Angeles, California 90095, Fiore, M., Fonseca, R.A., and Silva, L.O.. Fri . "Space-Charge Effects in the Current-Filamentation or Weibel Instability". United States. doi:10.1103/PhysRevLett.96.105002.
@article{osti_20777088,
title = {Space-Charge Effects in the Current-Filamentation or Weibel Instability},
author = {Tzoufras, M. and Ren, C. and Tsung, F.S. and Tonge, J.W. and Mori, W.B. and Department of Physics and Astronomy, University of California, Los Angeles, California 90095 and Fiore, M. and Fonseca, R.A. and Silva, L.O.},
abstractNote = {We consider how an unmagnetized plasma responds to an incoming flux of energetic electrons. We assume a return current is present and allow for the incoming electrons to have a different transverse temperature than the return current. To analyze this configuration we present a nonrelativistic theory of the current-filamentation or Weibel instability for rigorously current-neutral and nonseparable distribution functions, f{sub 0}(p{sub x},p{sub y},p{sub z}){ne}f{sub x}(p{sub x})f{sub y}(p{sub y})f{sub z}(p{sub z}). We find that such distribution functions lead to lower growth rates because of space-charge forces that arise when the forward-going electrons pinch to a lesser degree than the colder, backward-flowing electrons. We verify the growth rate, range of unstable wave numbers, and the formation of the density filaments using particle-in-cell simulations.},
doi = {10.1103/PhysRevLett.96.105002},
journal = {Physical Review Letters},
number = 10,
volume = 96,
place = {United States},
year = {Fri Mar 17 00:00:00 EST 2006},
month = {Fri Mar 17 00:00:00 EST 2006}
}