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Exact Solution of Ising Model on a Small-World Network

J. Viana Lopes·Yu. G. Pogorelov·J. M. B. Lopes dos Santos·R. Toral
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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.

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J. Viana Lopes, Yu. G. Pogorelov, J. M. B. Lopes dos Santos, R. Toral. 2004-02-13. Exact Solution of Ising Model on a Small-World Network. https://doi.org/10.1103/physreve.70.026112

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