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Temperature phase transitions associated with local minima of energy |
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| Institution: | 1. UFR matière condensée et modèlisation statistique des systèmes, Faculté des Sciences, Rabat, Morocco;2. Ecole Normale supérieure, B.P. 5118 Rabat, Morocco;1. Département de Physique, Faculté des Sciences, Université Mohammed V-Agdal, Rabat 1000, Morocco;2. Dipartimento di Física, Universit´ di Roma ''La Sapienza'', INFM Research and Development Center SMC, P.le Aldo Moro 2, 00185 Roma, Italy;1. School of Mechatronic Systems Engineering, Simon Fraser University, 250-13450 102 Avenue, Surrey, BC V3T 0A3, Canada;2. Department of Energy Engineering, Sharif University of Technology, P.O. Box 11365-9567, Tehran, Iran;1. College of Materials Science and Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China;2. Key Laboratory of High Temperature Wear Resistant Materials Preparation Technology of Hunan Province, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China;3. College of Mechanical and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China;1. Key Laboratory for Anisotropy and Texture of Materials (Ministry of Education), School of Material Science and Engineering, Northeastern University, Shenyang, 110819, PR China;2. Ningbo Institute of Material Technology and Engineering, Chinese Academy of Science, 1219 Zhongguan West Road, Zhenhai District, Ningbo, 315201, PR China;3. Department of Chemical Engineering, University of South Carolina, 541, Main St., Columbia, SC 29208, USA;1. State Key Lab of Automotive Safety and Energy, Department of Automotive Engineering, Tsinghua University, Beijing 100084, PR China;2. Collaborative Innovation Center of Electric Vehicles in Beijing, 100081, PR China |
| Abstract: | We develop an alternative version of the theory of contour models adapted to continuous spins located in sites of a ()-dimensional lattice. The spins interacting via nearest-neighbor ferromagnetic interactions are embedded in a single spin potential similar to that already introduced by Dobrushin and Shlosman. The potential has a finite-ordered sequence of local minima and satisfy certain conditions. For all finite-reciprocal temperatures less than one, we prove the Peierls condition and we show that there exists a sequence of first-order phase transition temperature points. |
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