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Title: On the dimensionally correct kinetic theory of turbulence for parallel propagation

Yoon and Fang [Phys. Plasmas 15, 122312 (2008)] formulated a second-order nonlinear kinetic theory that describes the turbulence propagating in directions parallel/anti-parallel to the ambient magnetic field. Their theory also includes discrete-particle effects, or the effects due to spontaneously emitted thermal fluctuations. However, terms associated with the spontaneous fluctuations in particle and wave kinetic equations in their theory contain proper dimensionality only for an artificial one-dimensional situation. The present paper extends the analysis and re-derives the dimensionally correct kinetic equations for three-dimensional case. The new formalism properly describes the effects of spontaneous fluctuations emitted in three-dimensional space, while the collectively emitted turbulence propagates predominantly in directions parallel/anti-parallel to the ambient magnetic field. As a first step, the present investigation focuses on linear wave-particle interaction terms only. A subsequent paper will include the dimensionally correct nonlinear wave-particle interaction terms.
Authors:
;  [1] ;  [2] ;  [3] ;  [4]
  1. Instituto de FĂ­sica, UFRGS, 91501-970 Porto Alegre, RS (Brazil)
  2. University of Maryland, College Park, Maryland 20742 (United States)
  3. (Korea, Republic of)
  4. School of Space Research, Kyung Hee University, Yongin, Gyeonggi 446-701 (Korea, Republic of)
Publication Date:
OSTI Identifier:
22408199
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; FLUCTUATIONS; KINETIC EQUATIONS; MAGNETIC FIELDS; NONLINEAR PROBLEMS; PARTICLE INTERACTIONS; THREE-DIMENSIONAL CALCULATIONS; TURBULENCE; WAVE PROPAGATION