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Title: Growth of filaments and saturation of the filamentation instability

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.3345824· OSTI ID:21347158
 [1];  [2];  [3];  [4];  [5];  [6];  [7]
  1. Ben-Gurion University, Beer-Sheva, 84105 Israel (Israel)
  2. Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045, USA and Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen K (Denmark)
  3. Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)
  4. LPCE/CNRS, 45071 Orleans (France)
  5. University of Sheffield, Sheffield S1 3JD (United Kingdom)
  6. Swedish Institute of Space Physics, 75121 Uppsala (Sweden)
  7. ISSI, 3012 Bern (Switzerland)

The filamentation instability of counterstreaming beams is a nonresonant hydrodynamic-type instability whose growth rate is a smooth function of the wavelength (scale). As a result, perturbations with all unstable wavelengths develop, and the growth saturates due to the saturation of available current. For a given scale, the magnetic field at saturation is proportional to the scale. As a result, the instability develops in a nearly linear regime, where the unstable modes stop growing as soon as the saturation of the corresponding wavelength is reached. At each moment there exists a dominant scale of the magnetic field which is the scale that reached saturation at this particular time. The smaller scales do not disappear and can be easily distinguished in the current structure. The overall growth of the instability stops when the loss of the streaming ion energy because of deceleration is comparable to the initial ion energy.

OSTI ID:
21347158
Journal Information:
Physics of Plasmas, Vol. 17, Issue 3; Other Information: DOI: 10.1063/1.3345824; (c) 2010 American Institute of Physics; ISSN 1070-664X
Country of Publication:
United States
Language:
English