Stochastic multiplicative processes with reset events
Condensed Matter
2009-10-31 v1
Abstract
We study a stochastic multiplicative process with reset events. It is shown that the model develops a stationary power-law probability distribution for the relevant variable, whose exponent depends on the model parameters. Two qualitatively different regimes are observed, corresponding to intermittent and regular behaviour. In the boundary between them, the mean value of the relevant variable is time-independent, and the exponent of the stationary distribution equals -2. The addition of diffusion to the system modifies in a non-trivial way the profile of the stationary distribution. Numerical and analytical results are presented.
Cite
@article{arxiv.cond-mat/9902068,
title = {Stochastic multiplicative processes with reset events},
author = {Susanna C. Manrubia and Damian H. Zanette},
journal= {arXiv preprint arXiv:cond-mat/9902068},
year = {2009}
}
Comments
8 pages, 3 figures. To appear in Phys. Rev. E