A hard-sphere model on generalised Bethe lattices: Dynamics

Hendrik Hansen-Goos; Martin Weigt

doi:10.1088/1742-5468/2005/08/p08001

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A hard-sphere model on generalised Bethe lattices: Dynamics

Hendrik Hansen-Goos·Martin Weigt

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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.

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Hendrik Hansen-Goos, Martin Weigt. 2005-05-09. A hard-sphere model on generalised Bethe lattices: Dynamics. https://doi.org/10.1088/1742-5468%2F2005%2F08%2Fp08001

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