title: Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion.
abstract: A general model of autocatalytic stochastic growth with diffusion is analytically and numerically investigated. Exact analytical results for the intermittency exponents and the probability of rare strong bursts in an infinite system are presented. Finite-size saturation effects, leading to the stretched exponential growth of statistical moments, are further considered. These analytical predictions are checked in numerical simulations.
authors.affiliation: Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
authors.forename: Hiroya
authors.initials: H
authors.lastname: Nakao
authors.forename: Alexander S
authors.initials: AS
authors.lastname: Mikhailov
mesh_terms: D004058:Diffusion; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D016011:Normal Distribution; D013997:Time Factors