Fluctuation-regularized Front Propagation Dynamics
| dc.creator | Cohen, Elisheva | |
| dc.creator | Kessler, David A. | |
| dc.creator | Levine, Herbert | |
| dc.date | 2004-06-15 | |
| dc.date.accessioned | 2026-07-07T02:58:38Z | |
| dc.date.available | 2026-07-07T02:58:38Z | |
| dc.description | We introduce and study a new class of fronts in finite particle number reaction-diffusion systems, corresponding to propagating up a reaction rate gradient. We show that these systems have no traditional mean-field limit, as the nature of the long-time front solution in the stochastic process differs essentially from that obtained by solving the mean-field deterministic reaction-diffusion equations. Instead, one can incorporate some aspects of the fluctuations via introducing a density cutoff. Using this method, we derive analytic expressions for the front velocity dependence on bulk particle density and show self-consistently why this cutoff approach can get the correct leading-order physics. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0406336 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0406336 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/24179 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Fluctuation-regularized Front Propagation Dynamics | |
| dc.type | text |