Effect of Microscopic Noise on Front Propagation View Full Text


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Article Info

DATE

2001-04

AUTHORS

Éric Brunet, Bernard Derrida

ABSTRACT

We study the effect of the noise due to microscopic fluctuations on the position of a one dimensional front propagating from a stable to an unstable region in the “linearly marginal stability case.” By simulating a very simple system for which the effective number N of particles can be as large as N=10150, we measure the N dependence of the diffusion constant DN of the front and the shift of its velocity vN. Our results indicate that DN∼(log N)−3. They also confirm our recent claim that the shift of velocity scales like vmin−vN≃K(log N)−2 and indicate that the numerical value of K is very close to the analytical expression Kapprox obtained in our previous work using a simple cut-off approximation. More... »

PAGES

269-282

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1004875804376

DOI

http://dx.doi.org/10.1023/a:1004875804376

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009757844


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