# Interfacial velocity corrections due to multiplicative noise

@article{Pechenik1999InterfacialVC, title={Interfacial velocity corrections due to multiplicative noise}, author={Leonid Pechenik and Herbert Levine}, journal={Physical Review E}, year={1999}, volume={59}, pages={3893-3900} }

The problem of velocity selection for reaction fronts has been intensively investigated, leading to the successful marginal stability (MS) approach for propagation into an unstable state. Because the front velocity is controlled by the leading edge which perforce has low density, it is interesting to study the role that finite particle number fluctuations have on this picture. Here, we use the well-known mapping of discrete Markov processes to stochastic differential equations and focus on the…

## 87 Citations

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AbstractWe consider reaction-diffusion equations of KPP type in one spatial dimension, perturbed by a Fisher-Wright white noise, under the assumption of uniqueness in distribution. Examples include…

Effect of Microscopic Noise on Front Propagation

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