Renewal and memory properties in the random growth of surfaces
R. Cakir, P. Grigolini, M. Ignaccolo
Abstract
We use the model of ballistic deposition as a simple way to establish cooperation among the columns of a growing surface, the single individual of the same society. We show that cooperation generates memory properties and at same time non-Poisson renewal events. The variable generating memory can be regarded as the velocity of a particle driven by a bath with the same time scale, and the variable generating renewal processes is the corresponding diffusional coordinate.
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