Geodesic
Feynman-Kac Equations for Random Walks in Disordered Media
V. P. Shkilev 1
1 Chuiko Institute of Surface Chemistry National Academy of Sciences of Ukraine 17, General Naumov Str., 03164 Kiev, Ukraine
Mathematical modelling of natural phenomena, Tome 11 (2016) no. 3, pp. 63-75 Cet article a éte moissonné depuis la source EDP Sciences

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The problem of finding the distribution of functional of a trajectory of a particle executing a random walk in a disordered medium containing both traps and obstacles is considered. As a model of disordered medium, the Schirmacher model, a combination of random barriers model and multiple-trapping model, is used. Forward and backward Feynman-Kac equations with the boundary conditions at discontinuity points are formulated. As an example, the distribution of the residence time in a half-space is obtained. It is shown that the anomalous subdiffusion due to traps and that due to obstacles give very different distributions.
DOI : 10.1051/mmnp/201611305

V. P. Shkilev  1

1 Chuiko Institute of Surface Chemistry National Academy of Sciences of Ukraine 17, General Naumov Str., 03164 Kiev, Ukraine 
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V. P. Shkilev. Feynman-Kac Equations for Random Walks in Disordered Media. Mathematical modelling of natural phenomena, Tome 11 (2016) no. 3, pp. 63-75. doi: 10.1051/mmnp/201611305

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