The self-organizing process is investigated in the continuum limit of the cellular automaton model introduced by Bak, Tang and Wiesenfeld. An anomalous diffusion equation is proposed for the description of this process, and an analytical method for the solutionis presented in one dimension, based on an adiabatic approximation.
|Number of pages||8|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - Jun 15 1992|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics