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.

Discreteness effects in a reacting system of particles with finite interaction radius / S., Berti; C., Lopez; D., Vergni; Vulpiani, Angelo. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 76:3(2007), pp. 031139 -1-031139 -9. [10.1103/physreve.76.031139]

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

VULPIANI, Angelo
2007

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.
2007
01 Pubblicazione su rivista::01a Articolo in rivista
Discreteness effects in a reacting system of particles with finite interaction radius / S., Berti; C., Lopez; D., Vergni; Vulpiani, Angelo. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 76:3(2007), pp. 031139 -1-031139 -9. [10.1103/physreve.76.031139]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/85721
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