Spatial organization in two-species annihilation |
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Authors: | S Redner F Leyvraz |
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Institution: | (1) Center for Polymer Studies and Department of Physics, Boston University, 02215 Boston, Massachusetts;(2) Instituto de Fisica, Laboratorio de Cuernavaca, UNAM, Mexico |
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Abstract: | 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 t1/2 and the typical interparticle spacing t1/4. A scaling argument suggests that the typical distance between particles of opposite species, or equivalently the gaps between domains, grows ast
, with = 3/8 and 1/3, respectively, in spatial dimensiond=1 and 2. The average density profile of a single domain is spatially nonuniform, with the density decaying to zero linearly as the domain edge is approached. This behavior permits a determination of the distribution of nearest-neighbor distances of same-species reactants. The corresponding moments of this distribution exhibit multiscaling which involves geometric averages of different powers of the domain size and the interparticle spacing. |
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Keywords: | Spatial organization domain profile interparticle distances |
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