Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation
arXiv:cond-mat/0602666 · doi:10.1016/j.physa.2007.03.005
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.
16 pages, 5 eps figures, elsart; extended results
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Cited by in corpus (6)
- Critical phenomena in complex networks
- Entropies of complex networks with hierarchically constrained topologies
- Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions
- Spin models on random graphs with controlled topologies beyond degree constraints
- Dynamical replica analysis of processes on finitely connected random graphs II: Dynamics in the Griffiths phase of the diluted Ising ferromagnet
- Dynamical replica analysis of processes on finitely connected random graphs I: vertex covering