Random Walk Approach to Simple Evolution Model

Details Random Walk Approach to Simple Evolution Model Random Walk Approach to Simple Evolution Model

1995-11-20

arxiv.org/abs/cond-mat/9511091v2

Physics

Condensed Matter

Revised version, a computational mistake eliminated, more explanation added, 16 pages, ReVTeX file

Scientific paper

The dynamics of the avalanche width in the evolution model is described using a random walk picture. In this approach the critical exponents for avalanche distribution, $\tau$, and avalanche average time, $\gamma$, are found to be the same as in the previous mean field approximation but SOC appear at $\lambda_{critical}=2/3$, which is very close to numerical value. A continuous time random walk is studied numerically as a possible way to reconstruct in simpler concepts the evolution model.

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