Fast algorithms for classical $X\to 0$ diffusion-reaction processes

Fabrice Thalmann; Nam-Kyung Lee

doi:10.1063/1.3072706

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arXiv · 1004.1090

Fast algorithms for classical $X\to 0$ diffusion-reaction processes

Fabrice Thalmann·Nam-Kyung Lee

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Abstract

The Doi formalism treats a reaction-diffusion process as a quantum many-body problem. We use this second quantized formulation as a starting point to derive a numerical scheme for simulating $X\to 0$ reaction-diffusion processes, following a well-established time discretization procedure. In the case of a reaction zone localized in the configuration space, this formulation provides also a systematic way of designing an optimized, multiple time step algorithm, spending most of the computation time to sample the configurations where the reaction is likely to occur.

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BibTeX RIS

Fabrice Thalmann, Nam-Kyung Lee. 2010-04-07. Fast algorithms for classical $X\to 0$ diffusion-reaction processes. https://doi.org/10.1063/1.3072706

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