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The dynamic exponent of the Ising model on negatively curved surfaces

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/15827

Title: The dynamic exponent of the Ising model on negatively curved surfaces
Authors: Shima, Hiroyuki Browse this author →KAKEN DB
Sakaniwa, Yasunori Browse this author
Keywords: classical phase transitions (theory)
critical exponents and amplitudes (theory)
finite-size scaling
Issue Date: 21-Aug-2006
Publisher: Institute of Physics and IOP Publishing
Journal Title: Journal of Statistical Mechanics: Theory and Experiment
Start Page: P08017
Publisher DOI: 10.1088/1742-5468/2006/08/P08017
Abstract: We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic exponent from the known value for the planar Ising model. This phenomenon is attributed to the fact that the Ising lattices embedded on negatively curved surfaces act as ones in infinite dimensions, thus yielding the dynamic exponent deduced from mean field theory. We further demonstrate that the static critical exponent for the correlation length exhibits the mean field exponent, which agrees with the existing results obtained from canonical Monte Carlo simulations.
Rights: © Institute of Physics and IOP Publishing Limited 2006
Relation: http://www.iop.org/
Type: article (author version)
URI: http://hdl.handle.net/2115/15827
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 島 弘幸

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