Power-law distributions and Levy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements

Details Power-law distributions and Levy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements Power-law distributions and Levy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements

1999-07-21

arxiv.org/abs/cond-mat/9907320v3

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevE.60.1299

A generic model of stochastic autocatalytic dynamics with many degrees of freedom $w_i$ $i=1,...,N$ is studied using computer simulations. The time evolution of the $w_i$'s combines a random multiplicative dynamics $w_i(t+1) = \lambda w_i(t)$ at the individual level with a global coupling through a constraint which does not allow the $w_i$'s to fall below a lower cutoff given by $c \cdot \bar w$, where $\bar w$ is their momentary average and $0

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