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Title: Multiscale interaction of a tearing mode with drift wave turbulence: A minimal self-consistent model

Abstract

A minimal self-consistent model of the multiscale interaction of a tearing mode with drift wave turbulence is presented. A tearing instability in a cylindrical plasma interacting with electrostatic drift waves is considered, for reasons of simplicity. Wave kinetics and adiabatic theory are used to treat the feedback of tearing mode flows on the drift waves via shearing and radial advection. The stresses exerted by the self-consistently evolved drift wave population density on the tearing mode are calculated by mean field methods. The principal effect of the drift waves is to pump the resonant low-m mode via a negative viscosity, consistent with the classical notion of an inverse cascade in quasi-two-dimensional turbulence. This process can occur alone or in synergy with current gradient drive of the low-m mode. Speculations of the relation of this multiscale process to the more general issue of the fate of energy transferred to large scales by an inverse cascade are presented. The existence of nonlinearly driven vortices pinned to low-q surfaces as a class of highly anisotropic dissipative structures which terminate the inverse cascade is proposed. The evolution of a finite size magnetic island is discussed.

Authors:
;  [1]
  1. Center for Astrophysics and Space Sciences and Department of Physics, University of California at San Diego, La Jolla, California 92093-0424 (United States)
Publication Date:
OSTI Identifier:
20782545
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 3; Other Information: DOI: 10.1063/1.2177585; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ADVECTION; ANISOTROPY; CHARGED-PARTICLE TRANSPORT; CYLINDRICAL CONFIGURATION; ENERGY TRANSFER; MAGNETIC ISLANDS; MEAN-FIELD THEORY; NONLINEAR PROBLEMS; PLASMA; PLASMA DRIFT; PLASMA WAVES; POPULATION DENSITY; STRESSES; TEARING INSTABILITY; TURBULENCE; TWO-DIMENSIONAL CALCULATIONS; VISCOSITY; VORTICES

Citation Formats

McDevitt, C.J., and Diamond, P.H. Multiscale interaction of a tearing mode with drift wave turbulence: A minimal self-consistent model. United States: N. p., 2006. Web. doi:10.1063/1.2177585.
McDevitt, C.J., & Diamond, P.H. Multiscale interaction of a tearing mode with drift wave turbulence: A minimal self-consistent model. United States. doi:10.1063/1.2177585.
McDevitt, C.J., and Diamond, P.H. Wed . "Multiscale interaction of a tearing mode with drift wave turbulence: A minimal self-consistent model". United States. doi:10.1063/1.2177585.
@article{osti_20782545,
title = {Multiscale interaction of a tearing mode with drift wave turbulence: A minimal self-consistent model},
author = {McDevitt, C.J. and Diamond, P.H.},
abstractNote = {A minimal self-consistent model of the multiscale interaction of a tearing mode with drift wave turbulence is presented. A tearing instability in a cylindrical plasma interacting with electrostatic drift waves is considered, for reasons of simplicity. Wave kinetics and adiabatic theory are used to treat the feedback of tearing mode flows on the drift waves via shearing and radial advection. The stresses exerted by the self-consistently evolved drift wave population density on the tearing mode are calculated by mean field methods. The principal effect of the drift waves is to pump the resonant low-m mode via a negative viscosity, consistent with the classical notion of an inverse cascade in quasi-two-dimensional turbulence. This process can occur alone or in synergy with current gradient drive of the low-m mode. Speculations of the relation of this multiscale process to the more general issue of the fate of energy transferred to large scales by an inverse cascade are presented. The existence of nonlinearly driven vortices pinned to low-q surfaces as a class of highly anisotropic dissipative structures which terminate the inverse cascade is proposed. The evolution of a finite size magnetic island is discussed.},
doi = {10.1063/1.2177585},
journal = {Physics of Plasmas},
number = 3,
volume = 13,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}