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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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