External fluctuations in front dynamics with inertia: The overdamped limit

Details External fluctuations in front dynamics with inertia: The overdamped limit External fluctuations in front dynamics with inertia: The overdamped limit

2000-03-06

arxiv.org/abs/cond-mat/0003079v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, accepted for publication in European Physical Journal B

Scientific paper

10.1007/s100510070257

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the non-inertial (overdamped) case, we find that important features of the system, such as the velocity selection picture, are not modified by the noise. We then compute the overdamped limit of the underdamped dynamics in a more careful way, finding that it does not exhibit any effect of noise either. Our result poses the question as to whether or not external noise sources can be measured in physical systems of this kind.

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