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

Details Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation

2006-02-28

arxiv.org/abs/cond-mat/0602666v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 5 eps figures, elsart; extended results

Scientific paper

10.1016/j.physa.2007.03.005

We study the Lebwohl-Lasher model for systems in which spin 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.

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