Hybrid method for simulating front propagation in reaction-diffusion systems

Abstract

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.

5 pages, 4 figures

References in corpus (3)

• Front propagation into unstable states
• Emergence of pulled fronts in fermionic microscopic particle models
• Asymptotic Scaling of the Diffusion Coefficient of Fluctuating "Pulled" Fronts

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