Avalanches in complex spin networks

K. Malarz, W. Antosiewicz, J. Karpińska, K. Kułakowski and B. Tadić

Physica A: Statistical Mechanics and its Applications, 2007, vol. 373, issue C, 785-795

Abstract: We 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. Tadić, 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, Ns(s), displays the power-law behavior for small s, i.e., Ns(s)∝s-α. For the scale-free networks, grown with preferential attachment, α increases with the connectivity parameter M from 1.38 for M=1 (trees) to 1.52 for M=25. For the exponential networks, α is close to 1.0 in the whole range of M.

Keywords: Antiferromagnets; Barkhausen noise; Evolving networks; Ising model; Monte Carlo simulations; Simple graphs and trees; Spin dynamics (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:373:y:2007:i:c:p:785-795

DOI: 10.1016/j.physa.2006.04.117

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