Statistics of rare strong bursts in autocatalytic stochastic growth with 
diffusion

Nakao, Hiroya; Mikhailov, Alexander S.

doi:10.1063/1.1596576

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

MPS-Authors

/persons/resource/persons21881

Mikhailov, Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Nakao, H., & Mikhailov, A. S. (2003). Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion. Chaos, 13(3), 953-961. doi:10.1063/1.1596576.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-0F61-4

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.