The dynamic exponent of the Ising model on negatively curved surfaces

Shima, Hiroyuki; Sakaniwa, Yasunori

Journal of Statistical Mechanics: Theory and Experiment, 2006, P08017

Permalink : https://hdl.handle.net/2115/15827

このアイテムのアクセス数:1,282件（2026-03-15 08:38 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
JSM-T&EP08017-2006	pdf	404 KB	1,188

アクセス権	open access
URI	https://hdl.handle.net/2115/15827
タイトル	The dynamic exponent of the Ising model on negatively curved surfaces
著者	e-Rad_Researcher 40312392 著者名 Shima, Hiroyuki
著者	著者名 Sakaniwa, Yasunori
言語	英語
キーワード	classical phase transitions (theory)
	critical exponents and amplitudes (theory)
	finite-size scaling
発行日	2006-08-21
出版者	Institute of Physics and IOP Publishing
収録物名	Journal of Statistical Mechanics: Theory and Experiment
ページ	P08017
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	© Institute of Physics and IOP Publishing Limited 2006
PISSN	1742-5468
関連情報	URI http://www.iop.org/
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1088/1742-5468/2006/08/P08017