Critical behavior of nonequilibrium models with infinitely many absorbing states

摘要

I study the critical behavior of a two-dimensional dimer-trimer latticemodel, introduced by K\"{o}hler and ben-Avraham [J. Phys. A {\bf 24}, L621(1991)], for heterogeneous catalysis of the reaction$\frac{1}{2}A_{2}+\frac{1}{3}B_{3} \rightarrow AB$. The model possessesinfinitely many absorbing states in which the lattice is saturated by adsorbedparticles and reactions cease because only isolated vacancies are left. Resultsfor various critical exponents show that the model exhibits the same criticalbehavior as directed percolation, contrary to earlier findings by K\"{o}hlerand ben-Avraham. Together with several other studies, reviewed briefly in thisarticle, this confirms that directed percolation is the generic universalityclass for models with infinitely many absorbing states.