Internal Fluctuations Effects on Fisher Waves

Preprint

3 May 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0105044

Abstract

We study the diffusion-limited reaction A + A <-> A in different spatial dimensions to observe the effect of internal fluctuations on the interface between stable and unstable phases. We find that, similar to what has been observed in d=1 dimensions, internal fluctuations modify the mean-field behavior predictions for this process, which is given by Fisher's reaction-diffusion equation. In d > 1 the front displays local fluctuations perpendicular to the direction of motion which, with a proper definition of the interface, can be fully described within the Kardar-Parisi-Zhang (KPZ) universality class. This clarifies the apparent discrepancies with KPZ predictions reported recently.

Keywords

All Related Versions

Version 1, 2001-05-02, ArXiv
Version 2, 2001-05-03, ArXiv
Published version: Physical Review Letters, 87 (23), 238303.

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