Abstract
The author studies finite-size effects in lattice models for dynamical phase transitions. For the Ziff-Gulari-Barshad (ZGB) model on the Cayley tree, it is shown that the order of the transition from the reactive phase to the monomer-saturated phase depends upon the adsorption rule for dimers at the boundary. He also examines the ZGB model on finite-sized square lattices connected by a single bond. The finite-size effects associated with the first-order and the second-order transitions are markedly different. This phenomenon can be exploited to determine the order of phase transitions numerically, with modest computing requirements. His findings emphasize the importance of finite-size effects and geometrical constraints in dynamical lattice models. They also help explain the puzzling difference between the behaviour of the ZGB model on percolation clusters and on the Sierpinski gasket.
Published Version
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