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Adsorption of Reactive Particles on a Random Catalytic Chain: An Exact Solution | | G.Oshanin
; S.F.Burlatsky
; | | Date: |
25 Oct 2002 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | Affiliation: | LPTL, University of Paris 6, France; UTRC, UT Corp., East Hartford, USA | | Abstract: | We study equilibrium properties of a catalytically-activated annihilation $A + A o 0$ reaction taking place on a one-dimensional chain of length $N$ ($N o infty$) in which some segments (placed at random, with mean concentration $p$) possess special, catalytic properties. Annihilation reaction takes place, as soon as any two $A$ particles land onto two vacant sites at the extremities of the catalytic segment, or when any $A$ particle lands onto a vacant site on a catalytic segment while the site at the other extremity of this segment is already occupied by another $A$ particle. Non-catalytic segments are inert with respect to reaction and here two adsorbed $A$ particles harmlessly coexist. For both "annealed" and "quenched" disorder in placement of the catalytic segments, we calculate exactly the disorder-average pressure per site. Explicit asymptotic formulae for the particle mean density and the compressibility are also presented. | | Source: | arXiv, cond-mat/0210575 | | Services: | Forum | Review | PDF | Favorites | |
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