Fluctuations and stability in front propagation

Details Fluctuations and stability in front propagation Fluctuations and stability in front propagation

2010-09-29

arxiv.org/abs/1009.5945v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic effect. Stochastic reaction-diffusion processes also show front propagation which coincides with the deterministic effect in the limit of small fluctuations (usually, large populations). However, for larger fluctuations propagation can be affected. We give an example, based on the classic spruce-budworm model, where the direction of wave propagation, i.e., the relative stability of two phases, can be reversed by fluctuations.

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