Langevin dynamics of the Lebowitz-Percus model

Abstract

We revisit the hard-spheres lattice gas model in the spherical approximation proposed by Lebowitz and Percus (J. L. Lebowitz, J. K. Percus, Phys. Rev.{\ 144} (1966) 251). Although no disorder is present in the model, we find that the short-range dynamical restrictions in the model induce glassy behavior. We examine the off-equilibrium 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.

21 pages, RevTeX, 14 PS figures

References in corpus (4)

• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Out of equilibrium dynamics in spin-glasses and other glassy systems
• Entropy of particle packings : an illustration on a toy model
• Relaxation processes and entropic traps in the Backgammon model

Cited by in corpus (4)

• Glassy dynamics of kinetically constrained models
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Aging in the Linear Harmonic Oscillator
• Energy and Heat Fluctuations in a Temperature Quench