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Journal Articles Acta Physica Polonica B Year : 1992

Stochastic Motion of a particle in a Model Fluctuating Medium

Aurélien Perera
Michel Moreau
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Abstract

We present several models of time fluctuating media with finite memory, consisting in one and two-dimensional lattices, the Modes of which fluctuate between two internal states according to a Poisson process. A particle moves on the lattice, the diffusion by the Modes depending on their internal state. Such models can be used for the microscopic theory of reaction constants in a dense phase, or for the study of diffusion or reactivity in a complex medium. In a number of cases, the transmission probability of the medium is computed exactly; it is shown that stochastic resonances can occur, an optimal transmission being obtained for a convenient choice of parameters. In more general situations, approximate solutions are given in the case of short and moderate memory of the obstacles. The diffusion in an infinite two-dimensional lattice is studied, and the memory is shown to affect the distribution of the particles rather than the diffusion law. (author). 25 refs, 5 figs
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Dates and versions

hal-04332126 , version 1 (08-12-2023)

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  • HAL Id : hal-04332126 , version 1

Cite

Aurélien Perera, Michel Moreau, Bernard Gaveau. Stochastic Motion of a particle in a Model Fluctuating Medium. Acta Physica Polonica B, 1992, 24 (4), pp.891. ⟨hal-04332126⟩
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