Negative velocity fluctuations of pulled reaction fronts

Baruch Meerson*, Pavel V. Sasorov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

The position of a reaction front, propagating into an unstable state, fluctuates because of the shot noise. What is the probability that the fluctuating front moves considerably slower than its deterministic counterpart? Can the noise arrest the front motion for some time, or even make it move in the wrong direction? We present a WKB theory that assumes many particles in the front region and answers these questions for the microscopic model 2A and random walk.

Original languageAmerican English
Article number030101
JournalPhysical Review E
Volume84
Issue number3
DOIs
StatePublished - 12 Sep 2011

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