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arxiv: cond-mat/0402138 · v2 · submitted 2004-02-04 · ❄️ cond-mat.stat-mech

Exact Solution of Ising Model on a Small-World Network

classification ❄️ cond-mat.stat-mech
keywords solutionexactisingchaincharacterconfirmsfieldfinite-size
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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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