Discreteness effects in a reacting system of particles with finite interaction radius.
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.
Berti
S
S
Department of Mathematics and Statistics, University of Helsinki, P. O. Box 68, FIN-00014 Helsinki, Finland.
López
C
C
Vergni
D
D
Vulpiani
A
A