Interfacial velocity corrections due to multiplicative noise
| Autor: | Leonid Pechenik, Herbert Levine |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Leading edge
Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Markov process State (functional analysis) Condensed Matter - Soft Condensed Matter Multiplicative noise symbols.namesake Stochastic differential equation Quantum mechanics symbols Front velocity Soft Condensed Matter (cond-mat.soft) Focus (optics) Condensed Matter - Statistical Mechanics Mathematics Marginal stability Mathematical physics |
| Zdroj: | Physical Review E. 59:3893-3900 |
| ISSN: | 1095-3787 1063-651X |
| DOI: | 10.1103/physreve.59.3893 |
| Popis: | The problem of velocity selection for reaction fronts has been intensively investigated, leading to the successful marginal stability approach for propagation into an unstable state. Because the front velocity is controlled by the leading edge which perforce has low density, it is interesting to study the role that finite particle number fluctuations have on this picture. Here, we use the well-known mapping of discrete Markov processes to stochastic differential equations and focus on the front velocity in the simple $A+A \stackrel{\leftarrow}{\to} A$ system. Our results are consistent with a recent (heuristic) proposal that $v_{MS} - v \sim {1\over \ln^2 {N}}$. Comment: 6 eps figures; submitted to Phys. Rev. E |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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