Statistics of rare strong bursts in autocatalytic stochastic growth with 
diffusion

Nakao, Hiroya; Mikhailov, Alexander S.

doi:10.1063/1.1596576

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Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0011-0F61-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-8886-9

Genre: Journal Article

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Creators:
Nakao, Hiroya, Author
Mikhailov, Alexander S.¹, Author

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1Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546

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Free keywords: Spatiotemporal Chaos; Intermittency; Equation; Systems; Noise; Interfaces

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.

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Language(s): eng - English

Dates: Date issued: 2003-08-22

Publication Status: Issued

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Rev. Type: Peer

Identifiers: eDoc: 42748
DOI: 10.1063/1.1596576

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Title: Chaos

Alternative Title : Chaos

Source Genre: Journal

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Pages: - Volume / Issue: 13 (3) Sequence Number: - Start / End Page: 953 - 961 Identifier: -