Novel scaling behavior of the Ising model on curved surfaces

Hasegawa, I.; Sakaniwa, Y.; Shima, H.

Surface Science, 1981, 601(22), 5232-5236

Permalink : https://hdl.handle.net/2115/32297

このアイテムのアクセス数:1,160件（2026-08-07 19:57 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
P178-ihasegawa-issp10-proceedings	pdf	571 KB	873

アクセス権	open access
URI	https://hdl.handle.net/2115/32297
タイトル	Novel scaling behavior of the Ising model on curved surfaces
著者	Hasegawa, I. ; Sakaniwa, Y. ; Shima, H.
著者名 Hasegawa, I.
著者名 Sakaniwa, Y.
著者名 Shima, H.
言語	英語
キーワード	Ising model
	Monte Carlo simulation
	phase transition
	curved surface
	critical exponent
発行日	1981
出版者	Elsevier
収録物名	Surface Science
巻(号)	601(22)
ページ	5232-5236
抄録	We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Monte Carlo simulations, we find that the former model has two distinct critical temperatures at which both the specific heat C(T) and magnetic susceptibility chi(T) show sharp peaks. The critical exponents associated with the two critical temperatures are evaluated by the finite-size scaling analysis; the result reveals that the values of these exponents vary depending on the temperature range under consideration. In the case of the latter model, it is found that static and dynamic critical exponents deviate from those of the Ising model on a flat plane; this is a direct consequence of the constant negative curvature of the underlying surface.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0039-6028
関連情報	URI http://www.sciencedirect.com/science/journal/00396028