Velocity-jump processes: large deviations and acceleration of transport-reaction fronts
1 : Unité de Mathématiques Pures et Appliquées
(UMPA-ENSL)
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Website
CNRS : UMR5669, École Normale Supérieure (ENS) - Lyon
ENS de Lyon 46 allée d'Italie 69364 LYON Cedex 07 -
France
I will present WKB asymptotics for a simple velocity-jump process involving free transport and reorientation at a constant rate following a Gaussian velocity distribution. I will highlight the particular scaling of large deviations, as opposed to the one for the diffusive limit. I will derive the corresponding nonlocal Hamilton-Jacobi verified by the action functional. I will present applications of this work to the accelaration of transport-reaction fronts, as opposed to constant speed of propagation of reaction-diffusion travelling waves.
This is joint work with Emeric Bouin (ENSL), Emmanuel Grenier (ENSL) and Grégoire Nadin (UPMC).
| Subject : | : | oral |
| Topics | : | Statistical mechanics and computation of large deviation rate functions |
| PDF version | : |  PDF version |
