Front propogation into an unstable state of reaction-transport system

Fedotov, Sergei (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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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 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes MSC 2010, the AMS's Mathematics Subject Classification > 82 Statistical mechanics, structure of matter
Depositing User:	Ms Lucy van Russelt
Date Deposited:	19 Jul 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/393

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