Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 381, Issue -, Pages 202-212Publisher
ELSEVIER
DOI: 10.1016/j.physa.2007.03.005
Keywords
complex networks; spin-glasses; finite-connectivity random graphs; liquid crystal models; dynamical replica theory; cavity method
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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. (c) 2007 Elsevier B.V. All rights reserved.
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