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Discreteness effects in a reacting system of particles with finite interaction radius

Berti, S.; López, C.; Vergni, D.; Vulpiani, A.
Physical Review E 76, 031139 (2007)

An autocatalytic reacting system with particles interacting at a finite distance is studied. We investigate the effects of the discrete-particle character of the model on properties like reaction rate, quenching phenomenon, and front propagation, focusing on differences with respect to the continuous case. We introduce a renormalized reaction rate depending both on the interaction radius and the particle density, and we relate it to macroscopic observables (e.g., front speed and front thickness) of the system.