2005/03/31 by K. Malarz, Krzysztof Malarz, W. Antosiewicz +6
Physics and Astronomy · #Complex Network Analysis Techniques #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1016/j.physa.2006.04.117
published as Physica A373C (2007) 785 · 16 pages, 10 figures in 29 eps files
arxiv created 2006/05/19 · openalex publication_date 2006/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. 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, Ns(s), displays the power-law behaviour for small s, i.e. Ns(s)∝ 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.