2006.204: Front propogation into an unstable state of reaction-transport system
2006.204: Sergei Fedotov (2001) Front propogation into an unstable state of reaction-transport system. Physical Review Letters, 86 (5-9). pp. 926-929. ISSN 0031-9007
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DOI: 10.1103/PhysRevLett.86.926
Abstract
We studied the propagation of traveling fronts into an unstable state of the reaction-transport systems involving integral transport. By using a hyperbolic scaling procedure and singular perturbation techniques, we determined a Hamiltonian structure of reaction-transport equations. This structure allowed us to derive asymptotic formulas for the propagation rate of a reaction front. We showed that the macroscopic dynamics of the front are “nonuniversal” and depend on the choice of the underlying random walk model for the microscopic transport process.
| Item Type: | Article |
|---|---|
| Subjects: | MSC 2000 > 60 Probability theory and stochastic processes MSC 2000 > 82 Statistical mechanics, structure of matter |
| MIMS number: | 2006.204 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 19 July 2006 |
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