Statistical mechanics of the one-dimensional plane rotator model in an external field |
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| Institution: | 1. Department of Physics, and Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan;2. Computational Materials Science Unit, National Institute for Materials Science, Namiki 1-1, Tsukuba, Ibaraki 305-0044, Japan;3. RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan;4. Institute-Lorentz for Theoretical Physics, Leiden University, PO Box 9506, NL-2300 RA Leiden, The Netherlands;5. Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA;6. Department of Physics, Washington University, St. Louis, MO 63160, USA;1. Centro de Informática, Universidade Federal da Paraíba, CEP 58059-900, João Pessoa, Brazil;2. DISMI, University of Modena and Reggio Emilia, 42122, Reggio Emilia, Italy;1. Department of Marine Technology, Norwegian University of Science and Technology, Trondheim, Norway;2. SINTEF Ocean, Ålesund, Norway;3. Nedstack Fuel Cell Technology, Arnhem, the Netherlands |
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| Abstract: | A method of calculating the partition function and the pair correlation function of the one-dimensional plane rotator model in an external field is proposed. In this method these quantities are expressed in terms of the modified Bessel function. These explicit expressions are given to fourth and second order, respectively. |
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