One-dimensional Ising model built on small-world networks: competing dynamics

Details One-dimensional Ising model built on small-world networks: competing dynamics One-dimensional Ising model built on small-world networks: competing dynamics

2005-05-13

arxiv.org/abs/cond-mat/0505340v1

Phys. Rev. E 71, 056123 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, one figure, accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.71.056123

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.

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