Finite-size scaling of the three-state Potts model on a simple cubic lattice |
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Authors: | M Fukugita H Mino M Okawa A Ukawa |
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Institution: | (1) Research Institute for Fundamental Physics, Kyoto University, 606 Kyoto, Japan;(2) National Laboratory for High Energy Physics (KEK), 305 Ibaraki, Japan;(3) Institute of Physics, University of Tsukuba, 305 Ibaraki, Japan |
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Abstract: | Finite-size scaling is studied for the three-state Potts model on a simple cubic lattice. We show that the specific heat and the magnetic susceptibility scale accurately as the volume. The correlation length exhibits behaviors expected for a genuine first-order transition; the one extracted from the unsubtracted correlation function shows a characteristic finite-size behavior, whereas the physical correlation length that characterizes the first excited state stays at a finite value and is discontinuous at the transition point. |
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Keywords: | Potts model finite-size scaling Monte Carlo simulation |
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