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Title: Turbulent spectrum created by non-Abelian plasma instabilities

Abstract

Recent numerical work on the fate of plasma instabilities in weakly-coupled non-Abelian gauge theory has shown the development of a cascade of energy from long to short wavelengths. This cascade has a steady-state spectrum, analogous to the Kolmogorov spectrum for turbulence in hydrodynamics or for energy cascades in other systems. In this paper, we theoretically analyze processes responsible for this cascade and find a steady-state spectrum f{sub k}{approx}k{sup -2}, where f{sub k} is the phase-space density of particles with momentum k. The exponent -2 is consistent with results from numerical simulations. We also discuss implications of the emerging picture of instability development on the 'bottom-up' thermalization scenario for (extremely high energy) heavy ion collisions, emphasizing fundamental questions that remain to be answered.

Authors:
;  [1];  [2]
  1. Department of Physics, University of Virginia, Box 400714, Charlottesville, Virginia 22901 (United States)
  2. (Canada)
Publication Date:
OSTI Identifier:
20795757
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.73.025013; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPUTERIZED SIMULATION; DENSITY; GAUGE INVARIANCE; HEAVY ION REACTIONS; HYDRODYNAMIC MODEL; PHASE SPACE; QUANTUM FIELD THEORY; QUARK MATTER; STEADY-STATE CONDITIONS; THERMALIZATION; TURBULENCE

Citation Formats

Arnold, Peter, Moore, Guy D., and Department of Physics, McGill University, 3600 University St., Montreal QC H3A 2T8. Turbulent spectrum created by non-Abelian plasma instabilities. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.0.
Arnold, Peter, Moore, Guy D., & Department of Physics, McGill University, 3600 University St., Montreal QC H3A 2T8. Turbulent spectrum created by non-Abelian plasma instabilities. United States. doi:10.1103/PHYSREVD.73.0.
Arnold, Peter, Moore, Guy D., and Department of Physics, McGill University, 3600 University St., Montreal QC H3A 2T8. Sun . "Turbulent spectrum created by non-Abelian plasma instabilities". United States. doi:10.1103/PHYSREVD.73.0.
@article{osti_20795757,
title = {Turbulent spectrum created by non-Abelian plasma instabilities},
author = {Arnold, Peter and Moore, Guy D. and Department of Physics, McGill University, 3600 University St., Montreal QC H3A 2T8},
abstractNote = {Recent numerical work on the fate of plasma instabilities in weakly-coupled non-Abelian gauge theory has shown the development of a cascade of energy from long to short wavelengths. This cascade has a steady-state spectrum, analogous to the Kolmogorov spectrum for turbulence in hydrodynamics or for energy cascades in other systems. In this paper, we theoretically analyze processes responsible for this cascade and find a steady-state spectrum f{sub k}{approx}k{sup -2}, where f{sub k} is the phase-space density of particles with momentum k. The exponent -2 is consistent with results from numerical simulations. We also discuss implications of the emerging picture of instability development on the 'bottom-up' thermalization scenario for (extremely high energy) heavy ion collisions, emphasizing fundamental questions that remain to be answered.},
doi = {10.1103/PHYSREVD.73.0},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}