One-dimensional Ising model built on small-world networks: competing dynamics
Abstract
In this paper, we offer a competing dynamic analysis of the one-dimensional Ising model built on the small-world network (SWN). Adding-type SWNs are investigated in detail using a simplified Hamiltonian of mean-field nature, and the result of rewiring-type is given because of the similarities of these two typical networks. We study the dynamical processes with competing Glauber mechanism and Kawasaki mechanism. The Glauber-type single-spin transition mechanism with probability p simulates the contact of the system with a heat bath and the Kawasaki-type dynamics with probability 1-p simulates an external energy flux. By studying the phase diagram obtained in the present work, we can realize some dynamical properties influenced by the small-world effect.
Keywords
Cite
@article{arxiv.cond-mat/0505340,
title = {One-dimensional Ising model built on small-world networks: competing dynamics},
author = {Wei Liu and Wen-Yuan Xiong and Jian-Yang Zhu},
journal= {arXiv preprint arXiv:cond-mat/0505340},
year = {2009}
}
Comments
5 pages, one figure, accepted for publication in Physical Review E