Avalanches in complex spin networks

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dc.creatorMalarz, K.
dc.creatorAntosiewicz, W.
dc.creatorKarpinska, J.
dc.creatorKulakowski, K.
dc.creatorTadic, B.
dc.date2005-03-31
dc.date2006-05-19
dc.date.accessioned2026-07-07T06:37:38Z
dc.date.available2026-07-07T06:37:38Z
dc.descriptionWe investigate the magnetization reversal processes on classes of complex spin networks with antiferromagnetic interaction along the network links. With slow field ramping the hysteresis loop and avalanches of spin flips occur due to topological inhomogeneity of the network, even without any disorder of the magnetic interaction [B. Tadic, et al., Phys. Rev. Lett. 94 (2005) 137204]. Here we study in detail properties of the magnetization avalanches, hysteresis curves and density of domain walls and show how they can be related to the structural inhomogeneity of the network. The probability distribution of the avalanche size, N_s(s), displays the power-law behaviour for small s, i.e. N_s(s)\propto s^{-α}. For the scale-free networks, grown with preferential attachment, αincreases with the connectivity parameter M from 1.38 for M=1 (trees) to 1.52 for M=25. For the exponential networks, αis close to 1.0 in the whole range of M.
dc.description16 pages, 10 figures in 29 eps files
dc.identifierhttps://arxiv.org/abs/cond-mat/0503760
dc.identifierhttp://arxiv.org/abs/cond-mat/0503760
dc.identifierPhysica A373C (2007) 785
dc.identifierdoi:10.1016/j.physa.2006.04.117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100459
dc.subjectDisordered Systems and Neural Networks
dc.titleAvalanches in complex spin networks
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