Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7382443 | Physica A: Statistical Mechanics and its Applications | 2012 | 6 Pages |
Abstract
⺠We define the BTW mechanism on a two-dimensional heterogeneous self-similar lattice. ⺠We find the dependence of the critical exponent on the similarity exponent of the lattice. ⺠The size-frequency relation in the model admits to universal representations with respect to the lattice area. ⺠The results are ensured by random loading uniformly distributed over the lattice.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A.B. Shapoval, M.G. Shnirman,