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Poursuite aléatoire d'une cible et optimisation du temps de recherche.
Applications à la cinétique réactionnelle.

Abstract : This thesis deals with the optimization of mean search time for intermittent processes. This thesis starts with a simple and idealized model of foraging animals. This model leads us to power laws relationship between the durations of each state (search and move) that are in good agreement with experimental data. Then, we examine more systematically intermittent models with memory in one dimension in order to characterize the interest of intermittency in search process. Next, we study the case of intermittent process without memory within the framework of chemical reactivity. Next, we consider the influence of geometric confinement on residence times and properties of encounter between reactants of a chemical reaction. We show then that geometrical relations previously obtained for Pearson random walks in bounded domains, are particular cases of very general relations between residence times for a large class of stochastic processes. Last, we study intermittent search process switching between diffusion and teleportation for a continuous spherical system in d dimensions and a regular lattice. Applications are mainly in biology for transport through porous membrane and in chemistry with heterogeneous catalysis. We show that intermittency could reduce significantly search time if the physical nature of the searcher and of its environment makes possible to realize a fast alternation of the two regimes.
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Contributor : Pierre-Henry Suet <>
Submitted on : Sunday, May 25, 2008 - 8:32:09 PM
Last modification on : Wednesday, December 9, 2020 - 3:05:24 PM
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  • HAL Id : tel-00281894, version 1


Pierre-Henry Suet. Poursuite aléatoire d'une cible et optimisation du temps de recherche.
Applications à la cinétique réactionnelle.. Analyse de données, Statistiques et Probabilités []. Université Pierre et Marie Curie - Paris VI, 2007. Français. ⟨tel-00281894⟩



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