### 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 language | English |
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Article number | 55701 |

Journal | Physics of Plasmas |

Volume | 21 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 2014 |

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### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*21*(5), [55701]. https://doi.org/10.1063/1.4872018

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

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 21, no. 5, 55701. https://doi.org/10.1063/1.4872018

}

TY - JOUR

T1 - E × B shear pattern formation by radial propagation of heat flux waves

AU - Kosuga, Y.

AU - Diamond, P. H.

AU - Dif-Pradalier, G.

AU - Gürcan, O. D.

PY - 2014/5

Y1 - 2014/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84899473867&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899473867&partnerID=8YFLogxK

U2 - 10.1063/1.4872018

DO - 10.1063/1.4872018

M3 - Article

AN - SCOPUS:84899473867

VL - 21

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 5

M1 - 55701

ER -