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The dynamic exponent of the Ising model on negatively curved surfaces
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)
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Submitter: 島 弘幸
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