Magnetic Small World Nanomaterials: Physical Small World Networks

Details Magnetic Small World Nanomaterials: Physical Small World Networks Magnetic Small World Nanomaterials: Physical Small World Networks

2004-10-22

arxiv.org/abs/cond-mat/0410589v1

Physics

Condensed Matter

Materials Science

3 pages, 3 figures (each two parts), ReVTeX, proceedings for Magnetism and Magnetic Materials conference 2004

Scientific paper

10.1063/1.1854415

The question addressed is whether magnetic materials based on physical small world networks are possible. Physical constraints, such as uniform bond length and embedding in three dimensions, are the new features added to make small world networks physical. Results are presented to further determine if physical small world networks can exist, and the effect of the small world connections on the critical phenomena of Ising models on such networks. Spectra of the Laplacian on randomly-collapsed bead-chain networks are studied. The scaling function for the order parameter of an Ising model with physical small world connections is presented.

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