title: 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.
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Liu
authors.forename: Wen-Yuan
authors.initials: WY
authors.lastname: Xiong
authors.forename: Jian-Yang
authors.initials: JY
authors.lastname: Zhu