Abstract
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.
Funder
Russian Science Foundation
Subject
Applied Mathematics,Statistics and Probability
Reference38 articles.
1. A first-passage kinetic Monte Carlo algorithm for complex diffusion-reaction systems;J. Comput. Phys.,2010
2. Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems;Monte Carlo Methods Appl.,2017
3. Monte Carlo-based linear Poisson–Boltzmann approach makes accurate salt-dependent solvation free energy predictions possible;J. Chem. Phys.,2007
4. Narrow escape. II. The circular disk;J. Stat. Phys.,2006
5. The floating random walk and its application to Monte Carlo solutions of heat equations;SIAM J. Appl. Math.,1966
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