Exact Solution of Ising Model on a Small-World Network

Details Exact Solution of Ising Model on a Small-World Network Exact Solution of Ising Model on a Small-World Network

2004-02-04

arxiv.org/abs/cond-mat/0402138v2

Phys. Rev. E 70, 026112 (2004)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 7 figures, submitted to pre

Scientific paper

10.1103/PhysRevE.70.026112

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.

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