0000000000006042
AUTHOR
K. K. Mon
Monte Carlo calculation of free energy for a fcc lattice-gas model
A face-centered-cubic Ising lattice-gas model with nearest- and next-nearest-neighbor interactions is studied, and an accurate determination of the transition temperature for the discontinuous order-disorder transition is obtained. This model is of interest in the studies of phase diagrams for metallic alloys. The location of the transition was previously not known accurately, and its estimation has a number of applications. Very accurate absolute free-energy densities for the two coexisting phases have been obtained from a combination of the standard thermodynamic integration method and the method of sampling finite-size dependence. The latent-heat also is calculated with good precision.
Monte Carlo studies of anisotropic surface tension and interfacial roughening in the three-dimensional Ising model.
Extensive Monte Carlo simulations of the simple cubic Ising model with nearest-neighbor ferromagnetic interactions with a tilted interface are presented for a wide range of lattice size L, temperature T, and tilt angles \ensuremath{\theta}. The anisotropic interfacial tension is studied in detail. From the small-angle data, we obtain the step free energy density ${f}_{S}$(T,L). Finite-size scaling of the step free energy density is discussed and used to probe the predicted temperature dependence of the correlation length near and above the roughening transition. The square-root temperature dependence predicted by solid-on-solid model calculations is exhibited. Finite-size scaling implies th…
Finite-size scaling and the crossover to mean-field critical behavior in the two-dimensional Ising model with medium-ranged interactions.
Critical amplitudes in finite-size scaling relations show a singular dependence on the range of the interactions, R. The respective power laws are predicted from phenomenological crossover scaling considerations. These predictions are tested by Monte Carlo simulations for medium-ranged Ising square lattices. It is speculated that some deviations between the simulation results and corresponding predictions may be due to logarithmic corrections.