S. Weinketz, DIFFUSION REORDERING KINETICS IN LATTICE-GAS SYSTEMS - TIME EVOLUTIONOF CONFIGURATIONAL ENTROPY AND INTERNAL ENERGY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 159-167
The reordering kinetics of a diffusion lattice-gas system of adsorbate
s with nearest- and next-nearest-neighbor interactions on a square lat
tice is studied within a dynamic Monte Carlo simulation, as it evolves
towards the equilibrium from a given initial configuration, at a cons
tant temperature. The diffusion kinetics proceeds through adsorbate ho
ppings to empty nearest-neighboring sites (Kawasaki dynamics). The Mon
te Carlo procedure allows a ''real'' time definition from the local tr
ansition rates, and the configurational entropy and internal energy ca
n be obtained from the lattice configuration at a.ny instant t by coun
ting the local clusters and using the C-2 approximation of the cluster
variation method. These state functions are then used in their nonequ
ilibrium form as a direct measure of reordering along the time. Differ
ent reordering processes are analyzed within this approach, presenting
a rich variety of behaviors. It can also be shown that the time deriv
ative of entropy (times temperature) is always equal to or lower than
the time derivative of energy, and that the reordering path is always
strongly dependent on the initial order, presenting in some cases an '
'invariance'' of the entropy function to the magnitude of the interact
ions as far as the final order is unaltered.