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