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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

Published 2004-02-04, updated 2004-02-13Version 2

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.

Comments: 9 pages, 7 figures, submitted to pre
Journal: Phys. Rev. E 70, 026112 (2004)
Categories: cond-mat.stat-mech
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