Discreteness effects in a reacting system of particles with finite interaction radius
arXiv:0704.3037 · doi:10.1103/PhysRevE.76.031139
Abstract
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.
arXiv comment23 pages, 13 figures
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