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Spatial correlations and cross sections of clusters in the A + B -> 0 reaction
Reigada Sanz, Ramon; Sagués i Mestre, Francesc; Sokolov, Igor M., 1958-; Sancho, José M.; Blumen, A.
Universitat de Barcelona
We consider the distribution of cross sections of clusters and the density-density correlation functions for the A+B¿0 reaction. We solve the reaction-diffusion equations numerically for random initial distributions of reactants. When both reactant species have the same diffusion coefficients the distribution of cross sections and the correlation functions scale with the diffusion length and obey superuniversal laws (independent of dimension). For different diffusion coefficients the correlation functions still scale, but the scaling functions depend on the dimension and on the diffusion coefficients. Furthermore, we display explicitly the peculiarities of the cluster-size distribution in one dimension.
26-07-2011
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Thermodynamics
Differentiable dynamical systems
(c) The American Physical Society, 1996
Artículo
The American Physical Society
         

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