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. ISSN 1063-651X
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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.
|Divisions :||Faculty of Health and Medical Sciences > Microbial and Cellular Sciences|
|Identification Number :||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 :||09 Jun 2014 13:37|
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