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Subdiffusive fluctuations of `pulled' fronts with multiplicative noise

Rocco, A, Ebert, U and Van Saarloos, W (2000) Subdiffusive fluctuations of `pulled' fronts with multiplicative noise Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 62. R13-R16.

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We study the propagation of a “pulled” front with multiplicative noise that is created by a local perturbation of an unstable state. Unlike a front propagating into a metastable state, where a separation of time scales for sufficiently large t creates a diffusive wandering of the front position about its mean, we predict that for so-called pulled fronts, the fluctuations are subdiffusive with root mean square wandering Δ(t)∼t1/4, not t1/2. The subdiffusive behavior is confirmed by numerical simulations: For t<~600, these yield an effective exponent slightly larger than 1/4.

Item Type: Article
Divisions : Faculty of Health and Medical Sciences > School of Biosciences and Medicine > Department of Microbial and Cellular Sciences
Authors :
Rocco, A
Ebert, U
Van Saarloos, W
Date : 2000
DOI : 10.1103/PhysRevE.62.R13
Additional Information : Copyright 2000 The American Physical Society.
Depositing User : Symplectic Elements
Date Deposited : 24 May 2012 12:08
Last Modified : 31 Oct 2017 14:28

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