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Exactly solvable model of A + A o 0 reactions on a heterogeneous catalytic chain | | G.Oshanin
; O.Benichou
; A.Blumen
; | | Date: |
24 Feb 2003 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | LPTL, Paris 6, France; LPMC, College de France, France; Theoretical Polymer Physics, University of Freiburg, Germany | | Abstract: | We present an exact solution describing equilibrium properties of the catalytically-activated A + A o 0 reaction taking place on a one-dimensional lattice, where some of the sites possess special "catalytic" properties. The A particles undergo continuous exchanges with the vapor phase; two neighboring adsorbed As react when at least one of them resides on a catalytic site (CS). We consider three situations for the CS distribution: regular, annealed random and quenched random. For all three CS distribution types, we derive exact results for the disorder-averaged pressure and present exact asymptotic expressions for the particles’ mean density. The model studied here furnishes another example of a 1D Ising-type system with random multi-site interactions which admits an exact solution. | | Source: | arXiv, cond-mat/0302474 | | Services: | Forum | Review | PDF | Favorites | |
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