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

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.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [4] ;  [5]
  1. WCI Center for Fusion Theory, NFRI, Daejeon (Korea, Republic of)
  2. (Japan)
  3. (United States)
  4. CEA, IRFM, Paul-lez-Durance Cedex (France)
  5. Laboratoire de Physique des Plasmas, Ecole Polytechnique, Palaiseau (France)
Publication Date:
OSTI Identifier:
22253075
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 5; Other Information: (c) 2014 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; EQUATIONS; FOUNDATIONS; HEAT; HEAT FLUX; NONLINEAR PROBLEMS; PHASE SPACE; SHEAR; TIME DELAY