Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model
We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in the symmetric（disorder） and broken（order） phases, but that of...
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| Published in | Chinese physics C Vol. 42; no. 2; pp. 106 - 111 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.02.2018
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in the symmetric（disorder） and broken（order） phases, but that of the even-order one remains positive when it is far away from the phase boundary. When the critical point is approached from the crossover side, negative fourth-order magnetic susceptibility is observable. It is also demonstrated that non-monotonic behavior occurs in the temperature dependence of the generalized susceptibilities of the energy. The finite-size scaling behavior of the specific heat in this model is mainly controlled by the critical exponent of the magnetic susceptibility in the three-dimensional Ising universality class. |
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| Bibliography: | We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in the symmetric（disorder） and broken（order） phases, but that of the even-order one remains positive when it is far away from the phase boundary. When the critical point is approached from the crossover side, negative fourth-order magnetic susceptibility is observable. It is also demonstrated that non-monotonic behavior occurs in the temperature dependence of the generalized susceptibilities of the energy. The finite-size scaling behavior of the specific heat in this model is mainly controlled by the critical exponent of the magnetic susceptibility in the three-dimensional Ising universality class. 11-5641/O4 Xue Pan1,2,Yanhua Zhang2, Lizhu Chen3, Mingmei Xu2, Yuanfang Wu2 （1 School of Electronic Engineering, Chengdu Technological University, Chengdu 611730, China; 2 Key Laboratory of Quark and Lepton Physics （MOE） and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China; 3 School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China） Potts model, critical point, generalized susceptibilities |
| ISSN: | 1674-1137 0254-3052 |
| DOI: | 10.1088/1674-1137/42/2/023110 |