Domain growth in the interacting adsorbate: Nonsymmetric particle jump model

Abstract

We show that an exponent of a powerlike time domain growth is determined not only by the conservation or nonconservation of the order parameter, but also by the asymmetry of single-particle jumps. Domains that have an anisotropic pattern, such as ͑2 ϫ 1͒, have a tendency to grow faster in a certain direction than they do in others. The rate of expansion in different directions depends on the barriers for single-particle jumps. As a result, dynamical behavior of systems which start in the same configurations and eventually reach the same equilibrium states is completely different. We show how differences in microscopic dynamics in a onedimensional Potts model lead to different rates of domain growth. We observe a similar effect for a twodimensional ͑2 ϫ 1͒ ordering by changing the way in which a barrier for a jump depends on the number of neighboring particles. We show examples of the domain power growth, which are characterized by different exponents.

Ab initiophase diagram of oxygen adsorption on W(110)

“…In the next step, the interaction parameters were fitted to the data of Lu et al [11] at x O = 0.50 and T c = 730 K. Since different sets of parameters reproduce the same data, the ratio of the parameters was finally determined by requiring that the transition temperature of 480 K for x O = 0.25 is also reproduced. Załuska-Kotur et al [10,[17][18][19] refined the Hamiltonian of Williams et al [13] by considering both threefold and also fourfold coordinated sublattice sites. The interaction energies were chosen to reproduce the properties of the original model of Williams et al [13].…”