A hard-sphere model on generalised Bethe lattices: Dynamics
Statistical Mechanics
2009-11-11 v1 Disordered Systems and Neural Networks
Abstract
We analyse the dynamics of a hard-sphere lattice gas on generalised Bethe lattices using a projective approximation scheme (PAS). The latter consists in mapping the system's dynamics to a finite set of global observables, closure of the resulting equations is obtained by approximating the true non-equilibrium state by a pseudo-equilibrium based only on the value of the observables under consideration. We study the liquid--crystal as well as the liquid--spin-glass transitions, special attention is given to the prediction of equilibration times and their divergence close to the phase transitions. Analytical results are corroborated by Monte-Carlo simulations.
Keywords
Cite
@article{arxiv.cond-mat/0505202,
title = {A hard-sphere model on generalised Bethe lattices: Dynamics},
author = {Hendrik Hansen-Goos and Martin Weigt},
journal= {arXiv preprint arXiv:cond-mat/0505202},
year = {2009}
}
Comments
23 pages, 12 figures