Jr. Gunn et al., DYNAMIC LATTICE-MODEL SIMULATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3069-3080
We present an algorithm for carrying out time-dependent canonical Mont
e Carlo simulations on a lattice with single occupancy of each site an
d arbitrary site-site interactions. The method incorporates velocities
at each site whose components are proportional to the probability of
exchange with each of the neighboring sites. Kinetic and potential ene
rgy are exchanged through the choice of trial final velocities for att
empted exchanges which are accepted or rejected using the Metropolis a
lgorithm. Caculations are carried out for the two-dimensional Ising mo
del for which the exact partition function is known. Our method reprod
uces the results of standard Monte Carlo simulations with comparable a
ccuracy, and in addition allows the calculation of dynamical propertie
s previously inaccessible with traditional methods. Results are presen
ted for self-diffusion, interfacial tension, and shear viscosity.