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Renewal and memory properties in the random growth of surfaces

R. Cakir·P. Grigolini·M. Ignaccolo
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Abstract

We use the model of ballistic deposition as a simple way to establish cooperation among the columns of a growing surface, \emph{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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R. Cakir, P. Grigolini, M. Ignaccolo. 2006-10-09. Renewal and memory properties in the random growth of surfaces. https://arxiv.org/abs/cond-mat/0610245

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