Dynamics of the burning model

M. Gedalin; M. Bregman; M. Balikhin; D. Coca; G. Consolini; R. A. Treumann

doi:10.5194/npg-12-717-2005

Dynamics of the burning model

M. Gedalin, M. Bregman, M. Balikhin, D. Coca, G. Consolini, R. A. Treumann

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We propose a new avalanching model which is characterized by a) a local threshold in the transition from passive to active states, b) finite life time of active sites, and c) is dissipative. This model seems to be more appropriate for the description of a continuous system where localized reconnection plays a crucial role. The model allows for an analytical treatment. We establish the shape of the distribution of cluster sizes and the relation of the observables to the model parameters. The results are illustrated with numerical simulations which support the analytical results.

Original language	English
Pages (from-to)	717-723
Number of pages	7
Journal	Nonlinear Processes in Geophysics
Volume	12
Issue number	5
DOIs	https://doi.org/10.5194/npg-12-717-2005
State	Published - 1 Jan 2005

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Geophysics
Geochemistry and Petrology

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AU - Bregman, M.

AU - Balikhin, M.

AU - Coca, D.

AU - Consolini, G.

AU - Treumann, R. A.

PY - 2005/1/1

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N2 - We propose a new avalanching model which is characterized by a) a local threshold in the transition from passive to active states, b) finite life time of active sites, and c) is dissipative. This model seems to be more appropriate for the description of a continuous system where localized reconnection plays a crucial role. The model allows for an analytical treatment. We establish the shape of the distribution of cluster sizes and the relation of the observables to the model parameters. The results are illustrated with numerical simulations which support the analytical results.

AB - We propose a new avalanching model which is characterized by a) a local threshold in the transition from passive to active states, b) finite life time of active sites, and c) is dissipative. This model seems to be more appropriate for the description of a continuous system where localized reconnection plays a crucial role. The model allows for an analytical treatment. We establish the shape of the distribution of cluster sizes and the relation of the observables to the model parameters. The results are illustrated with numerical simulations which support the analytical results.

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JO - Nonlinear Processes in Geophysics

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Dynamics of the burning model

Abstract

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