Hybrid method for simulating front propagation in reaction-diffusion systems

Details Hybrid method for simulating front propagation in reaction-diffusion systems Hybrid method for simulating front propagation in reaction-diffusion systems

2004-02-16

arxiv.org/abs/cond-mat/0402423v1

Physical Review E 69, 060101(R) (2004)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevE.69.060101

We study the propagation of pulled fronts in the $A <-> \leftrightarrow A+A$ microscopic reaction-diffusion process using Monte Carlo (MC) simulations. In the mean field approximation the process is described by the deterministic Fisher-Kolmogorov-Petrovsky-Piscounov (FKPP) equation. In particular we concentrate on the corrections to the deterministic behavior due to the number of particles per site $\Omega$. By means of a new hybrid simulation scheme, we manage to reach large macroscopic values of $\Omega$ which allows us to show the importance in the dynamics of microscopic pulled fronts of the interplay of microscopic fluctuations and their macroscopic relaxation.

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