E × B shear pattern formation by radial propagation of heat flux waves

Yusuke Kosuga, P. H. Diamond, G. Dif-Pradalier, O. D. Gürcan

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A novel theory to describe the formation of E×B flow patterns by radially propagating heat flux waves is presented. A model for heat avalanche dynamics is extended to include a finite delay time between the instantaneous heat flux and the mean flux, based on an analogy between heat avalanche dynamics and traffic flow dynamics. The response time introduced here is an analogue of the drivers' response time in traffic dynamics. The microscopic foundation for the time delay is the time for mixing of the phase space density. The inclusion of the finite response time changes the model equation for avalanche dynamics from Burgers equation to a nonlinear telegraph equation. Based on the telegraph equation, the formation of heat flux jams is predicted. The growth rate and typical interval of jams are calculated. The connection of the jam interval to the typical step size of the E×B staircase is discussed.

Original languageEnglish
Article number55701
JournalPhysics of Plasmas
Volume21
Issue number5
DOIs
Publication statusPublished - Jan 1 2014
Externally publishedYes

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heat flux
shear
propagation
avalanches
traffic
time lag
intervals
heat
Burger equation
space density
stairways
flow distribution
inclusions
analogs

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

E × B shear pattern formation by radial propagation of heat flux waves. / Kosuga, Yusuke; Diamond, P. H.; Dif-Pradalier, G.; Gürcan, O. D.

In: Physics of Plasmas, Vol. 21, No. 5, 55701, 01.01.2014.

Research output: Contribution to journalArticle

Kosuga, Yusuke ; Diamond, P. H. ; Dif-Pradalier, G. ; Gürcan, O. D. / E × B shear pattern formation by radial propagation of heat flux waves. In: Physics of Plasmas. 2014 ; Vol. 21, No. 5.
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