Negative velocity fluctuations of pulled reaction fronts

Baruch Meerson; Pavel V. Sasorov

doi:https://doi.org/10.1103/PhysRevE.84.030101

Negative velocity fluctuations of pulled reaction fronts

Baruch Meerson, Pavel V. Sasorov

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	030101
Journal	Physical Review E
Volume	84
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.84.030101
State	Published - 12 Sep 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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Cite this

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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.",

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JO - Physical Review E

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Negative velocity fluctuations of pulled reaction fronts

Abstract

All Science Journal Classification (ASJC) codes

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