Emergence of pulled fronts in fermionic microscopic particle models

2003/07/16 by Esteban Moro · 1 citation
Mathematics · Physics and Astronomy · #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.68.025102

published as Phys. Rev. E 68, 025102 (2003) · 4 pages, 4 figures. Accepted for publication in Phys. Rev. E as a Rapid Communication

arxiv created 2003/07/16 · openalex publication_date 2003/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the emergence and dynamics of pulled fronts described by the Fisher-Kolmogorov-Petrovsky-Piscounov (FKPP) equation in the microscopic reaction-diffusion process A+A<-->A on the lattice when only a particle is allowed per site. To this end we identify the parameter that controls the strength of internal fluctuations in this model, namely, the number of particles per correlated volume. When internal fluctuations are suppressed, we explictly see the matching between the deterministic FKPP description and the microscopic particle model.

Citations

• Multidimensional nonlinear diffusion arising in population genetics
• Non-equilibrium critical phenomena and phase transitions into absorbing states

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