Articles | Volume 12, issue 5
Nonlin. Processes Geophys., 12, 717–723, 2005
https://doi.org/10.5194/npg-12-717-2005

Special issue: Nonlinear and multiscale phenomena in space plasmas

Nonlin. Processes Geophys., 12, 717–723, 2005
https://doi.org/10.5194/npg-12-717-2005

  19 Jul 2005

19 Jul 2005

Dynamics of the burning model

M. Gedalin1, M. Bregman1, M. Balikhin2, D. Coca2, G. Consolini3, and R. A. Treumann4 M. Gedalin et al.
  • 1Ben-Gurion University, Beer-Sheva, Israel
  • 2ACSE, University of Sheffield, Sheffield, UK
  • 3Ist. Fisica Spazio Interplanetario, Istituto Nazionale di Astrofisica, Rome, Italy
  • 4Max-Planck-Institute for Extraterrestrial Physics, Garching, Germany

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.