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Phys Rev E Stat Nonlin Soft Matter Phys
; 73(1 Pt 2): 016138, 2006 Jan.
Artículo
en Inglés
| MEDLINE
| ID: mdl-16486247
RESUMEN
We calculate the number of metastable configurations of Ising small-world networks that are constructed upon superimposing sparse Poisson random graphs onto a one-dimensional chain. Our solution is based on replicated transfer-matrix techniques. We examine the denegeracy of the ground state and find a jump in the entropy of metastable configurations exactly at the crossover between the small-world and the Poisson random graph structures. We also examine the difference in entropy between metastable and all possible configurations, for both ferromagnetic and bond-disordered long-range couplings.