Dynamics of the burning model

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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Pages (from-to)717-723
Number of pages7
JournalNonlinear Processes in Geophysics
Issue number5
StatePublished - 1 Jan 2005

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Geophysics
  • Geochemistry and Petrology


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