Anomalous reaction-transport processes : the dynamics beyond the law of mass action
Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física)
Fedotov, Sergei (University of Manchester. Department of Mathematics)
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)

Date:	2008
Abstract:	In this paper we reconsider the mass action law (MAL) for the anomalous reversible reaction A⇄B with diffusion. We provide a mesoscopic description of this reaction when the transitions between two states A and B are governed by anomalous (heavy-tailed) waiting-time distributions. We derive the set of mesoscopic integro-differential equations for the mean densities of reacting and diffusing particles in both states. We show that the effective reaction rate memory kernels in these equations and the uniform asymptotic states depend on transport characteristics such as jumping rates. This is in contradiction with the classical picture of MAL. We find that transport can even induce an extinction of the particles such that the density of particles A or B tends asymptotically to zero. We verify analytical results by Monte Carlo simulations and show that the mesoscopic densities exhibit a transient growth before decay.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 77, Number 6 (June 2008) , p. 061130/1-061130/5, ISSN 1539-3755

DOI: 10.1103/PhysRevE.77.061130

5 p, 132.5 KB

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