Random walk on spheres method for solving anisotropic drift-diffusion problems

Shalimova Irina () and Sabelfeld Karl K. ()
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Shalimova Irina: Russian Academy of Sciences, Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia
Sabelfeld Karl K.: Russian Academy of Sciences, Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia

Monte Carlo Methods and Applications, 2018, vol. 24, issue 1, 43-54

Abstract: We suggest a random walk on spheres based stochastic simulation algorithm for solving drift-diffusion-reaction problems with anisotropic diffusion. The diffusion coefficients and the velocity vector vary in space, and the size of the walking spheres is adapted to the local variation of these functions. The method is mesh free and extremely efficient for calculation of fluxes to boundaries and the concentration of the absorbed particles inside the domain. Applications to cathodoluminescence (CL) and electron beam induced current (EBIC) methods for the analysis of dislocations and other defects in semiconductors are discussed.

Keywords: Anisotropic drift-diffusion equation; spherical mean value relation; cathodoluminescence (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/mcma-2018-0006

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