On metastable configurations of small-world networks Export

@misc{citeulike:355442, abstract = {We calculate the number of metastable configurations of Ising small-world networks which 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 we 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.}, archivePrefix = {arXiv}, author = {Heylen, R. and Skantzos, N. S. and Blanco, Busquets J. and Bolle, D.}, citeulike-article-id = {355442}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0510455}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0510455}, day = {18}, eprint = {cond-mat/0510455}, keywords = {networks, small-world-networks}, month = {Oct}, posted-at = {2005-10-20 01:24:16}, priority = {2}, title = {On metastable configurations of small-world networks}, url = {http://arxiv.org/abs/cond-mat/0510455}, year = {2005} }

TY - ELEC ID - citeulike:355442 L3 - citeulike-article-id:355442 N2 - We calculate the number of metastable configurations of Ising small-world networks which 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 we 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. TI - On metastable configurations of small-world networks KW - networks KW - small-world-networks AU - Heylen, R AU - Skantzos, NS AU - Blanco, Busquets AU - Bolle, D PY - 2005/Oct/18/ UR - http://arxiv.org/abs/cond-mat/0510455 ER -