Phase behavior of a two-dimensional quenched–annealed lattice gas with nearest-neighbor attraction. Grand canonical Monte Carlo simulation (original) (raw)

1999, Physica A: Statistical Mechanics and its Applications

We performed Monte Carlo simulation of the phase diagram of a two-dimensional lattice with the nearest-neighbor attraction on a hexagonal lattice. A fraction of sites is rigidly ÿxed in a disordered conÿguration in order to mimic quenched absorbent (matrix). It is shown that the phase diagram of this partly quenched system is essentially narrower and the critical temperature is lower, compared with the bulk system, i.e. without matrix. Moreover, a liquid-like branch of the coexistence envelope has a speciÿc shape. It is shown that di erent, thermodynamically equivalent, matrix conÿgurations result in a slightly di erent gas-liquid critical temperature. We have analyzed profoundly thermodynamic behavior of a uid in each copy of the matrix realization. In particular, the behavior of the heat capacity, of the fourth Binder cumulant, compressibility of a uid along coexistence are analyzed. The pair distribution function of uid species and its blocking term, due to correlations of uid particles via matrix subsystem, have been obtained. The blocking distribution function appears to be more long ranged than the total uid-uid distribution function. The uctuations of the blocking e ects may serve as a measure of the number of matrix realizations necessary to involve in obtaining adequate statistical averages in the partly quenched systems.

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