M. Presber et al., MONTE-CARLO STUDIES OF ADSORBED MONOLAYERS - LATTICE-GAS MODELS WITH TRANSLATIONAL DEGREES OF FREEDOM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(2), 1998, pp. 2616-2623
Standard lattice-gas models for the description of the phase behavior
of adsorbed monolayers are generalized to ''elastic lattice gases'' wh
ich allow for translational degrees of freedom of the adsorbate atoms
but have the substrate lattice structure built into the adsorbate-adso
rbate interaction. For such models, we derive a simple and efficient g
rand-canonical Monte Carlo algorithm, which treats the occupied and em
pty sites in precisely the same way. Using this method, we calculate t
he phase diagram of a simple model for the adsorption of hydrogen on p
alladium (100); this model includes only pairwise interactions and exh
ibits an ordered c(2x2) structure. For our choice of parameters, we fi
nd only a rather small influence of the translational degrees of freed
om on the phase diagram. In particular, the observed asymmetry, albeit
clearly present, is quite weak. Finite-size scaling reveals that the
second-order phase transition between c(2x2) and the disordered phase
is Ising-like, i.e., the elastic degrees of freedom do not change the
universality class.