Spatial organization in two-species annihilation
نویسندگان
چکیده
منابع مشابه
Spatial Organization in Two-Species Annihilation
The spatial structure of reactants in the two-species annihilation reaction A + B ~ 0 is described. In one dimension, we investigate the distribution of domain sizes and the distributions of nearest-neighbor distances between particles of the same and of opposite species. The latter two quantities are characterized by a new length scale which is intermediate to the domain size t 1./2 and the ty...
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A fundamental ingredient that controls the kinetics of the two-species annihilation process, A + B → 0, is the rate of reaction in the interfacial region between a domain of A’s and a domain of B’s. A natural way to study this interface is to prepare a system with initially separated components and then monitor the reaction rate as a function of time, as first studied by Gálfi and Rácz [1]. Thi...
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A two-species reaction-diffusion model, in which particles diffuse on a one-dimensional lattice and annihilate when meeting each other, has been investigated. Mean-field equations for general choice of reaction rates have been solved exactly. The cluster mean-field approximation of the model is also studied. It is shown that the general form of large time behavior of one- and two-point function...
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We discuss a reaction-diffusion model in one dimension subjected to an external driving force. Each lattice site may be occupied by at most one particle. The particles hop with rates (1± η)/2 to the right or left nearest neighbour site if it is vacant, and annihilate with rate one if it is occupied. We compute the long time behaviour of the space dependent average density in states where the in...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 1991
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf01049597