Statics and dynamics of the Lebwohl–Lasher model in the Bethe approximation

N.S. Skantzos and J.P.L. Hatchett

Physica A: Statistical Mechanics and its Applications, 2007, vol. 381, issue C, 202-212

Abstract: We study the Lebwohl–Lasher model for systems in which spins are arranged on random graph lattices. At equilibrium our analysis follows the theory of spin-systems on random graphs which allows us to derive exact bifurcation conditions for the phase diagram. We also study the dynamics of this model using a variant of the dynamical replica theory. Our results are tested against simulations.

Keywords: Complex networks; Spin-glasses; Finite-connectivity random graphs; Liquid crystal models; Dynamical replica theory; Cavity method (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:381:y:2007:i:c:p:202-212

DOI: 10.1016/j.physa.2007.03.005

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