Literature DB >> 15447550

Exact solution of Ising model on a small-world network.

J Viana Lopes1, Yu G Pogorelov, J M B Lopes dos Santos, R Toral.   

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.

Year:  2004        PMID: 15447550     DOI: 10.1103/PhysRevE.70.026112

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  4 in total

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2.  Reaching Consensus by Allowing Moments of Indecision.

Authors:  A Svenkeson; A Swami
Journal:  Sci Rep       Date:  2015-10-06       Impact factor: 4.379

3.  The noisy voter model on complex networks.

Authors:  Adrián Carro; Raúl Toral; Maxi San Miguel
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4.  A modified Ising model of Barabási-Albert network with gene-type spins.

Authors:  Jeyashree Krishnan; Reza Torabi; Andreas Schuppert; Edoardo Di Napoli
Journal:  J Math Biol       Date:  2020-09-08       Impact factor: 2.259

  4 in total

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