Dynamic mean-field and cavity methods for diluted Ising systems
Disordered Systems and Neural Networks
2012-03-21 v3 Statistical Mechanics
Abstract
We compare dynamic mean-field and dynamic cavity as methods to describe the stationary states of dilute kinetic Ising models. We compute dynamic mean-field theory by expanding in interaction strength to third order, and compare to the exact dynamic mean-field theory for fully asymmetric networks. We show that in diluted networks the dynamic cavity method generally predicts magnetizations of individual spins better than both first order ("naive") and second order ("TAP") dynamic mean field theory.
Cite
@article{arxiv.1109.3399,
title = {Dynamic mean-field and cavity methods for diluted Ising systems},
author = {Erik Aurell and Hamed Mahmoudi},
journal= {arXiv preprint arXiv:1109.3399},
year = {2012}
}