Title: Metastable configurations of small-world networks
Authors: Heylen, Rob ×
Skantzos, NS
Busquets Blanco, J.
Bollé, Désiré #
Issue Date: Jan-2006
Publisher: Published by the American Physical Society through the American Institute of Physics
Series Title: Physical Review E, Statistical, Nonlinear and Soft Matter Physics vol:73 issue:1
Article number: 016138
Abstract: 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.
ISSN: 2470-0045
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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