E-pile model of self-organized criticality

Details E-pile model of self-organized criticality E-pile model of self-organized criticality

2007-11-28

arxiv.org/abs/0711.4571v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without fine tuning, thus offering a route to self-organized criticality (SOC) which in many cases is more natural than the weak random drive combined with boundary loss/dissipation as used in standard sand-pile formulations. We introduce a new metaphor, the e-pile model, and a formalism for electric conduction in random media to compute critical exponents for such a system. Variations of the model apply to a number of other physical problems, such as electric plasma discharges, dielectric relaxation, and the dynamics of the Earth's magnetotail.

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