Renewal and memory properties in the random growth of surfaces
Statistical Mechanics
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/0610245,
title = {Renewal and memory properties in the random growth of surfaces},
author = {R. Cakir and P. Grigolini and M. Ignaccolo},
journal= {arXiv preprint arXiv:cond-mat/0610245},
year = {2007}
}