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Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Engineering / Faculty of Engineering >
Peer-reviewed Journal Articles, etc >
Novel scaling behavior of the Ising model on curved surfaces
| 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. |
| Relation: | http://www.sciencedirect.com/science/journal/00396028 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/32297 |
| 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: 長谷川 偉創
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