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29 March 2024
 
  » arxiv » cond-mat/9405012

 Article overview


Critical behavior of nonequilibrium models with infinitely many absorbing states
Iwan Jensen ;
Date 6 May 1994
Subject cond-mat
AbstractI study the critical behavior of a two-dimensional dimer-trimer lattice model, introduced by Köhler and ben-Avraham [J. Phys. A {f 24}, L621 (1991)], for heterogeneous catalysis of the reaction $frac{1}{2}A_{2}+frac{1}{3}B_{3} ightarrow AB$. The model possesses infinitely many absorbing states in which the lattice is saturated by adsorbed particles and reactions cease because only isolated vacancies are left. Results for various critical exponents show that the model exhibits the same critical behavior as directed percolation, contrary to earlier findings by Köhler and ben-Avraham. Together with several other studies, reviewed briefly in this article, this confirms that directed percolation is the generic universality class for models with infinitely many absorbing states.
Source arXiv, cond-mat/9405012
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