Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions
Disordered Systems and Neural Networks
2009-09-24 v2
Abstract
We study the stochastic parallel dynamics of Ising spin systems defined on finitely connected directed random graphs with arbitrary degree distributions, using generating functional analysis. For fully asymmetric graphs the dynamics of the system can be completely solved, due to the asymptotic absence of loops. For arbitrary graph symmetry, we solve the dynamics exactly for the first few time steps, and we construct approximate stationary solutions.
Cite
@article{arxiv.0907.1699,
title = {Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions},
author = {Kazushi Mimura and A. C. C. Coolen},
journal= {arXiv preprint arXiv:0907.1699},
year = {2009}
}
Comments
20 pages, 4 figures