LANGEVIN DYNAMICS OF THE LEBOWITZ-PERCUS MODEL

We revisit the hard-spheres lattice gas model in the spherical approxi mation proposed by Lebowitz and Percus. Although no disorder is presen t in the model, we find that the short-range dynamical restrictions in the model induce glassy behaviour. We examine the off-equilibrium Lan gevin dynamics of this model and study the relaxation of the density a s well as the correlation, response and overlap two-time functions. We find that the relaxation proceeds in two steps as well as absence of anomaly in the response function. By studying the violation of the flu ctuation-dissipation ratio we conclude that the glassy scenario of thi s model corresponds to the dynamics of domain growth in phase-ordering kinetics.