Exact Solution of Ising Model on a Small-World Network
Statistical Mechanics
2007-05-23 v2
Abstract
We present an exact solution of a one-dimensional Ising chain with both nearest neighbor and random long-range interactions. Not surprisingly, the solution confirms the mean field character of the transition. This solution also predicts the finite-size scaling that we observe in numerical simulations.
Keywords
Cite
@article{arxiv.cond-mat/0402138,
title = {Exact Solution of Ising Model on a Small-World Network},
author = {J. Viana Lopes and Yu. G. Pogorelov and J. M. B. Lopes dos Santos and R. Toral},
journal= {arXiv preprint arXiv:cond-mat/0402138},
year = {2007}
}
Comments
9 pages, 7 figures, submitted to pre