Pathways of maximum likelihood for rare events in nonequilibrium systems: Application to nucleation in the presence of shear

Matthias Heymann, Eric Vanden Eijnden

Research output: Contribution to journalArticle

Abstract

Even in nonequilibrium systems, the mechanism of rare reactive events caused by small random noise is predictable because they occur with high probability via their maximum likelihood path (MLP). Here a geometric characterization of the MLP is given as the curve minimizing a certain functional under suitable constraints. A general purpose algorithm is also proposed to compute the MLP. This algorithm is applied to predict the pathway of transition in a bistable stochastic reaction-diffusion equation in the presence of a shear flow, and to analyze how the shear intensity influences the mechanism and rate of the transition.

Original languageEnglish (US)
Article number140601
JournalPhysical Review Letters
Volume100
Issue number14
DOIs
StatePublished - Apr 9 2008

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nucleation
shear
reaction-diffusion equations
random noise
shear flow
curves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Pathways of maximum likelihood for rare events in nonequilibrium systems : Application to nucleation in the presence of shear. / Heymann, Matthias; Vanden Eijnden, Eric.

In: Physical Review Letters, Vol. 100, No. 14, 140601, 09.04.2008.

Research output: Contribution to journalArticle

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