Gade, Prashant M and Joy, MP (1998) Self-organized criticality in dynamics without branching. In: Physical Review E, 57 (05). pp. 5019-5022.
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We demonstrate the phenomenon of self-organized criticality (SOC) in a simple random walk model described by a random walk of a myopic ant, i.e., a walker who can see only nearest neighbors. The ant acts on the underlying lattice aiming at uniform digging, i.e., reduction of the height profile of the surface but is unaffected by the underlying lattice. In one, two, and three dimensions we have explored this model and have obtained power laws in the time intervals between consecutive events of "digging." Being a simple random walk, the power laws in space translate to power laws in time. We also study the finite size scaling of asymptotic scale invariant process as well as dynamic scaling in this system. This model differs qualitatively from the cascade models of SOC.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to American Physical Society.|
|Department/Centre:||Division of Chemical Sciences > Materials Research Centre|
|Date Deposited:||29 Dec 2009 11:04|
|Last Modified:||19 Sep 2010 05:27|
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