Random Walk Approach to Simple Evolution Model
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 λcritical=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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