Random Walk Approach to Simple Evolution Model

L. Anton

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arXiv · cond-mat/9511091

Random Walk Approach to Simple Evolution Model

L. Anton

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Abstract

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, $τ$, and avalanche average time, $γ$, are found to be the same as in the previous mean field approximation but SOC appear at $λ_{critical}=2/3$, 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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L. Anton. 1996-01-21. Random Walk Approach to Simple Evolution Model. https://arxiv.org/abs/cond-mat/9511091

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