Emergence of pulled fronts in fermionic microscopic particle models

Details Emergence of pulled fronts in fermionic microscopic particle models Emergence of pulled fronts in fermionic microscopic particle models

2003-07-16

arxiv.org/abs/cond-mat/0307378v1

Phys. Rev. E 68, 025102 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures. Accepted for publication in Phys. Rev. E as a Rapid Communication

Scientific paper

10.1103/PhysRevE.68.025102

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.

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