2024-03-28T14:52:06Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/322972022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Novel scaling behavior of the Ising model on curved surfacesHasegawa, I.Sakaniwa, Y.Shima, H.open accessIsing modelMonte Carlo simulationphase transitioncurved surfacecritical exponent420We 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.Elsevier1981engjournal articleAMhttp://hdl.handle.net/2115/32297http://www.sciencedirect.com/science/journal/003960280039-6028Surface Science6012252325236https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/32297/1/P178-ihasegawa-issp10-proceedings.pdfapplication/pdf571.89 KB1981