2006.206: Continuous-time random walks and travelling fronts
2006.206: Sergei Fedotov and Vicenç Mèndez (2002) Continuous-time random walks and travelling fronts. Physical Review E, 66. 030102. ISSN 1539-3755
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DOI: 10.1103/PhysRevE.66.030102
Abstract
We present a geometric approach to the problem of propagating fronts into an unstable state, valid for an arbitrary continuous-time random walk with a Fisher–Kolmogorov-Petrovski-Piskunov growth/reaction rate. We derive an integral Hamilton-Jacobi type equation for the action functional determining the position of reaction front and its speed. Our method does not rely on the explicit derivation of a differential equation for the density of particles. In particular, we obtain an explicit formula for the propagation speed for the case of anomalous transport involving non-Markovian random processes.
| Item Type: | Article |
|---|---|
| Subjects: | MSC 2000 > 60 Probability theory and stochastic processes MSC 2000 > 82 Statistical mechanics, structure of matter |
| MIMS number: | 2006.206 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 19 July 2006 |
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