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

AuthorsBerti, S.; López, Cristóbal ; Vergni, Davide; Vulpiani, Angelo
Collision processes
Many-body problems
N-body problems
Reaction kinetics theory
Issue Date10-Apr-2007
PublisherAmerican Physical Society
CitationPhysical Review E 76, 031139 (2007)
AbstractAn 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.
Description9 pages.-- PACS numbers: 05.40.-a, 82.39.-k, 82.40.-g.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.76.031139.
Appears in Collections:(IFISC) Artículos
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