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

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

2007-04-23

arxiv.org/abs/0704.3037v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 13 figures

Scientific paper

10.1103/PhysRevE.76.031139

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.

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