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Power-law distributions and Lévy-stable intermittent fluctuations in stochastic systems of many autocatalytic
1Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.
Abstract:
A generic model of stochastic autocatalytic dynamics with many degrees of freedom w(i,) i=1, em leader,N, is studied using computer simulations. The time evolution of the w(i)'s combines a random multiplicative dynamics w(i)(t+1)=lambdaw(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 cw, where w is their momentary average and 0
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