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

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

doi:10.1016/j.physa.2007.03.005

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arXiv · cond-mat/0602666

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

N. S. Skantzos·J. P. L. Hatchett

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Abstract

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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N. S. Skantzos, J. P. L. Hatchett. 2006-11-30. Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation. https://doi.org/10.1016/j.physa.2007.03.005

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