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Title: Dynamical nature of inviscid power law for two-dimensional turbulences and self-consistent spectrum and transport of plasma filaments

Abstract

On the basis of equal-time correlation theory (a non-perturbative approach) inviscid power laws of 2D isotropic plasma turbulences with one Lagrangian inviscid constant of motion are unambiguously solved by determining the dynamical characteristics. Two distinct types of induced transport, according to the divergence of the inverse correlation length in the inviscid limit, are revealed. This analysis also suggests a physically reasonable closure. The self-consistent system (a set of integral equations) for plasma filaments is investigated in detail, and is found to be a nonlinear differential eigenvalue problem for the diffusion coefficient D, with the Dyson-like (integral) equation playing the role of a boundary condition. This new type of transport is non-Bohm-like, and shows quasilinear behavior even in the strong turbulence regime. Physically, this behavior arises from a synchronization of the shrinking squared correlation length with the decorrelation time, for which the ``mixing-length`` breaks down. The shrinkage of correlation length is a characteristic pertaining to the new type of turbulence; its relationship with the turbulence observed in supershot regime on TFTR is commented on.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
Publication Date:
Research Org.:
Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10139394
Report Number(s):
DOE/ET/53088-647; IFSR-647
ON: DE94009425; BR: 39KG01000/AT0520240; TRN: 94:007522
DOE Contract Number:
FG05-80ET53088
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: Feb 1994
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; TURBULENCE; TWO-DIMENSIONAL CALCULATIONS; LAGRANGE EQUATIONS; TRANSPORT THEORY; 700370; PLASMA FLUID AND MHD PROPERTIES

Citation Formats

Zhang, Y.Z., and Mahajan, S.M. Dynamical nature of inviscid power law for two-dimensional turbulences and self-consistent spectrum and transport of plasma filaments. United States: N. p., 1994. Web. doi:10.2172/10139394.
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Zhang, Y.Z., & Mahajan, S.M. Dynamical nature of inviscid power law for two-dimensional turbulences and self-consistent spectrum and transport of plasma filaments. United States. doi:10.2172/10139394.
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Zhang, Y.Z., and Mahajan, S.M. Tue . "Dynamical nature of inviscid power law for two-dimensional turbulences and self-consistent spectrum and transport of plasma filaments". United States. doi:10.2172/10139394. https://www.osti.gov/servlets/purl/10139394.
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@article{osti_10139394,
title = {Dynamical nature of inviscid power law for two-dimensional turbulences and self-consistent spectrum and transport of plasma filaments},
author = {Zhang, Y.Z. and Mahajan, S.M.},
abstractNote = {On the basis of equal-time correlation theory (a non-perturbative approach) inviscid power laws of 2D isotropic plasma turbulences with one Lagrangian inviscid constant of motion are unambiguously solved by determining the dynamical characteristics. Two distinct types of induced transport, according to the divergence of the inverse correlation length in the inviscid limit, are revealed. This analysis also suggests a physically reasonable closure. The self-consistent system (a set of integral equations) for plasma filaments is investigated in detail, and is found to be a nonlinear differential eigenvalue problem for the diffusion coefficient D, with the Dyson-like (integral) equation playing the role of a boundary condition. This new type of transport is non-Bohm-like, and shows quasilinear behavior even in the strong turbulence regime. Physically, this behavior arises from a synchronization of the shrinking squared correlation length with the decorrelation time, for which the ``mixing-length`` breaks down. The shrinkage of correlation length is a characteristic pertaining to the new type of turbulence; its relationship with the turbulence observed in supershot regime on TFTR is commented on.},
doi = {10.2172/10139394},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Feb 01 00:00:00 EST 1994},
month = {Tue Feb 01 00:00:00 EST 1994}
}
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Technical Report:
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DOI:  10.2172/10139394
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