Subdiffusive fluctuations of `pulled' fronts with multiplicative noise
Tools
Tools
Tools
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 (1 A). R13 - R16. ISSN 1063-651X
![[img]](/style/images/fileicons/application_pdf.png)
| PDF - Published Version Available under License : See the attached licence file. 85Kb | |
| PDF (licence) 32Kb |
Official URL: http://dx.doi.org/10.1103/PhysRevE.62.R13
Abstract
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 |
|---|---|
| Additional Information: | Copyright 2000 The American Physical Society. |
| Divisions: | Faculty of Health and Medical Sciences > Microbial and Cellular Sciences |
| ID Code: | 240042 |
| Deposited By: | Symplectic Elements |
| Deposited On: | 24 May 2012 13:08 |
| Last Modified: | 16 Feb 2013 14:33 |
Document Downloads
Repository Staff Only: item control page