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Exact Solution of Ising Model on a Small-World Network

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arxiv cond-mat/0402138 v2 pith:3GQZIDER submitted 2004-02-04 cond-mat.stat-mech

J. Viana Lopes , Yu. G. Pogorelov , J. M. B. Lopes dos Santos , R. Toral This is my paper · ORCID
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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  1. A Modified Ising Model of Barab\'asi-Albert Network with Gene-type Spins

    q-bio.QM 2019-08 reject novelty 2.0 of 10

    A 0/1 spin Ising model on Barabasi-Albert networks shows first-order transitions and hysteresis, but reduces by the authors' own variable transformation to a classical Ising model with local fields.

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