E-pile model of self-organized criticality [article]

A. V. Milovanov (Department of Physics and Technology, University of Tromso, Tromso, Norway) K. Rypdal (Department of Physics and Technology, University of Tromso, Tromso, Norway) J. J. Rasmussen (Optics and Plasma Research Department, Technical University of Denmark, Riso National Laboratory, Roskilde, Denmark)
2007 arXiv   pre-print
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
more » ... odel, 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.
arXiv:0711.4571v1 fatcat:josiobmvrjb3vmwqtarezvsi5m