Exact solution of Ising model on a small-world network
Physical Review EPublished 25 August 2004Open access
J. Viana Lopes, Yu. G. Pogorelov, J. M. B. Lopes dos Santos, Raúl Toral
Citations46
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TL;DR
This work presents an exact solution of a one-dimensional Ising chain with both nearest-neighbor and random long-range interactions and confirms the mean-field character of the transition.
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.
Keywords
Physics and Astronomy
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