A long-range ferromagnetic spin model with periodic boundary conditions |
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| Affiliation: | 1. Physics Department and Jiangsu Key Laboratory of Modern Measurement Technology and Intelligent, Huaiyin Normal University, 111 West Chang Jiang Road, Huai''an 223300, China;2. Jiangsu Key Laboratory for Chemistry of Low-Dimensional Materials, Huaiyin Normal University, 111 West Chang Jiang Road, Huai''an 223300, China;1. School of Physics, Zhengzhou University, Zhengzhou 450001, China;2. Department of Physics, Harbin Institute of Technology, Harbin 150001, China;1. University of Iceland, Civil and Environmental Engineering, Hjardarhagi 2-6, IS-107 Reykjavik, Iceland;2. University of Iceland, Economics, Saemundargata, IS-101 Reykjavik, Iceland;1. Departamento de Física, Universidad Nacional de Colombia, 111321 Bogotá, Colombia;2. Programa de Física, Universidad del Quindío, 630004 Armenia, Colombia |
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| Abstract: | A possible way to study long-range interacting particles in finite–infinite periodic systems is applied to a modified Ising model with ferromagnetic interaction that decays as a 1/rα law. We verify, by Monte Carlo heat-bath simulations for cases in D dimensions, that the thermodynamic quantities scale in a way proposed by Tsallis, and that the mean field theory is exact in the last model for all 0⩽α⩽D/2 suggested previously by other authors. |
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