Continuous-space event-driven simulations of reaction-diffusion processes in three dimensions

2024/12/10 by Vincent Rossetto, Rossetto, Vincent
Decision Sciences · #FOS: Physical sciences #Simulation Techniques and Applications #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2412.07740

openalex publication_date 2024/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that reaction-diffusion processes in three dimensions can be efficiently handled by event-driven numerical simulations, based on statistical waiting times (Gillespie's Monte-Carlo method). The algorithm is efficient for dilute systems, since diffusion is not simulated, only the result of diffusion between events needs to be implemented.

Related

• Efficient Monte Carlo methods for simulating diffusion-reaction processes in complex systems
• A Gaussian jump process formulation of the reaction–diffusion master equation enables faster exact stochastic simulations
• Microscopic Simulation of Reaction-Diffusion Processes and Applications\n to Population Biology and Product Marketing
• Asynchronous Event-Driven Particle Algorithms
• Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics