Langevin dynamics of the Lebowitz–Percus model

We revisit the hard-spheres lattice gas model in the spherical approximation proposed by Lebowitz and Percus. Although no disorder is present in the model, we find that the short-range dynamical restrictions in the model induce glassy behaviour. We examine the offequilibrium Langevin dynamics of this model and study the relaxation of the density as 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 fluctuation–dissipation ratio we conclude that the glassy scenario of this model corresponds to the dynamics of domain growth in phase-ordering kinetics.