Journal
PHYSICAL REVIEW LETTERS
Volume 86, Issue 5, Pages 926-929Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.86.926
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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.
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