Dynamics of the burning model

M. Gedalin (1) , M. Bregman (1) , M. Balikhin (2) , D. Coca (2) , G. Consolini (3) , R. A. Treumann (4)

1 BGU - Ben-Gurion University of the Negev
2 ACSE - Department of Automatic Control and Systems Engineering [ Sheffield]
3 Ist. Fisica Spazio Interplanetario
4 MPE - Max-Planck-Institut für Extraterrestrische Physik

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.

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Astrophysique [astro-ph]; Sciences de la Terre

M. Gedalin, M. Bregman, M. Balikhin, D. Coca, G. Consolini, et al.. Dynamics of the burning model. Nonlinear Processes in Geophysics, 2005, 12 (5), pp.717-723. ⟨hal-00302650⟩