Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12358/26308
Title | Comparison Of Ising Magnet On Directed Versus Undirected Erdös–Rényi And Scale-Free Networks |
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Abstract |
Scale-free networks are a recently developed approach to model the interactions found in complex natural and man-made systems. Such networks exhibit a power-law distribution of node link (degree) frequencies n(k) in which a small number of highly connected nodes predominate over a much greater number of sparsely connected ones. In contrast, in an Erdös–Renyi network each of N sites is connected to every site with a low probability p (of the order of 1/N). Then the number k of neighbors will fluctuate according to a Poisson distribution. One can instead assume that each site selects exactly k neighbors among the other sites. Here we compare in both cases the usual network with the directed network, when site A selects site B as a neighbor, and then B influences A but A does not influence B. As we change from undirected to directed scale-free networks, the spontaneous magnetization vanishes after an … |
Type | Journal Article |
Date | 2007 |
Published in | International Journal of Modern Physics C |
Series | Volume: 18, Number: 01 |
Publisher | World Scientific Publishing Company |
Citation | |
Item link | Item Link |
License | ![]() |
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Files in this item | ||
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Shabat, Mohammed M._47.pdf | 110.2Kb |