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Novel scaling behavior of the Ising model on curved surfaces

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Title: Novel scaling behavior of the Ising model on curved surfaces
Authors: Hasegawa, I. Browse this author
Sakaniwa, Y. Browse this author
Shima, H. Browse this author
Keywords: Ising model
Monte Carlo simulation
phase transition
curved surface
critical exponent
Issue Date: 1981
Publisher: Elsevier
Journal Title: Surface Science
Volume: 601
Issue: 22
Start Page: 5232
End Page: 5236
Abstract: 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.
Type: article (author version)
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: 長谷川 偉創

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