# Langevin dynamics of the Lebowitz-Percus model

Source: [Langevin dynamics of the Lebowitz-Percus model](<https://www.sota2.com/research/paper/68fa24612c2a3760193a3605>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:07:52.757Z

Authors: F. G. Padilla, F. Ritort

Published: 1997-03-10T18:43:15.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9703095>)

[PDF](<https://arxiv.org/pdf/cond-mat/9703095.pdf>)