Elasticity in drift-wave-zonal-flow turbulence

Z. B. Guo, P. H. Diamond, Y. Kosuga, Ö D. Gürcan

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We present a theory of turbulent elasticity, a property of drift-wave-zonal-flow (DW-ZF) turbulence, which follows from the time delay in the response of DWs to ZF shears. An emergent dimensionless parameter |〈v〉|/Δωk is found to be a measure of the degree of Fickian flux-gradient relation breaking, where |〈v〉| is the ZF shearing rate and Δωk is the turbulence decorrelation rate. For |〈v〉|/Δωk>1, we show that the ZF evolution equation is converted from a diffusion equation, usually assumed, to a telegraph equation, i.e., the turbulent momentum transport changes from a diffusive process to wavelike propagation. This scenario corresponds to a state very close to the marginal instability of the DW-ZF system, e.g., the Dimits shift regime. The frequency of the ZF wave is ΩZF=±γd1/2γmodu1/2, where γd is the ZF friction coefficient and γmodu is the net ZF growth rate for the case of the Fickian flux-gradient relation. This insight provides a natural framework for understanding temporally periodic ZF structures in the Dimits shift regime and in the transition from low confined mode to high confined mode in confined plasmas.

Original languageEnglish
Article number041101
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number4
DOIs
Publication statusPublished - Apr 4 2014

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Elasticity
Turbulence
elastic properties
turbulence
Gradient
Telegraph Equation
gradients
shift
Periodic Structures
Friction Coefficient
shearing
Dimensionless
Diffusion equation
coefficient of friction
Evolution Equation
Time Delay
time lag
Plasma
Momentum
Propagation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Elasticity in drift-wave-zonal-flow turbulence. / Guo, Z. B.; Diamond, P. H.; Kosuga, Y.; Gürcan, Ö D.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 89, No. 4, 041101, 04.04.2014.

Research output: Contribution to journalArticle

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