Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation
Disordered Systems and Neural Networks
2009-11-11 v3 Soft Condensed Matter
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.
Cite
@article{arxiv.cond-mat/0602666,
title = {Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation},
author = {N. S. Skantzos and J. P. L. Hatchett},
journal= {arXiv preprint arXiv:cond-mat/0602666},
year = {2009}
}
Comments
16 pages, 5 eps figures, elsart; extended results