Microscopic Simulation of Reaction-Diffusion Processes and Applications to Population Biology and Product Marketing

1999/04/14 by Eldad Bettelheim, Bettelheim, Eldad, Benny Lehmann +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Condensed Matter (cond-mat) #Evolution and Genetic Dynamics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9904205

To appear in Annual Reviews of Computational physics

arxiv created 1999/04/14 · openalex publication_date 1999/04/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We simulate reaction-diffusion processes with discrete fields. We use a novel algorithm to simulate different autocatalytic processes with trace densities. Anderson localization with a diffusive potential is studied. A reaction-diffusion process with dynamic localization is discussed in a marketing context.

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