Research ArticleOpen AccessGoogle Scholar indexed
Microcanonical Monte Carlo Simulation of 2D 4-State Potts Model
Institute of Physics, Sachivalaya Marg, Bhubaneswar, India
Institute of Physics, Sachivalaya Marg, Bhubaneswar, India
Department of Physics, Xiamen University, Xiamen, China
- 1 Institute of Physics, Sachivalaya Marg, Bhubaneswar, India
- 2 Institute of Physics, Sachivalaya Marg, Bhubaneswar, India
- 3 Department of Physics, Xiamen University, Xiamen, China
Journal of Modern Physics·Volume 08 (2017)·Pages 602–606·Published 9 March 2017·DOI10.4236/jmp.2017.84040
Copy link · social · email
Abstract
Monte Carlo simulation of two dimensional 4 state Potts model has been carried out in microcanonical ensemble. The simulations were done on a 30 × 30 system with periodic boundary conditions. The temperature dependence of energy and order parameter has been calculated. The transition in 4-state Potts model is concluded to be first-order in nature. The transition temperature and latent heat of the first-order transition have been found to be 0.92 and 0.18, respectively.
KeywordsMicrocanonical Monte CarloPotts ModelFirst-Order Transition
- Potts, R.B. (1952) Proceedings of the Cambridge Philosophical Society, 48, 106. https://doi.org/10.1017/S0305004100027419
- Wu, F.Y. (1982) Reviews of Modern Physics, 54, 235. https://doi.org/10.1103/RevModPhys.54.235
- Ota, S. and Ota, S.B. (2015) Implications of Lack-of-Ergodicity in 2D Potts Model. APS March Meeting, San Antonio, 2-6 March 2015.
- Kihara, T., Midzuno, Y. and Shizume, T. (1954) Journal of the Physical Society of Japan, 9, 681. https://doi.org/10.1143/JPSJ.9.681
- Baxter, R.J. (1973) Journal of Physics C: Solid State Physics, 6, L445. https://doi.org/10.1088/0022-3719/6/23/005
- Kim, D. (1981) Physics Letters A, 87, 127.
- Baxter, R.J. (1982) Journal of Physics A: Mathematical and General, 15, 3329. https://doi.org/10.1088/0305-4470/15/10/035
- Swendsen, R.H., Andelman, D. and Berker, A.N. (1981) Physical Review B, 24, 6732. https://doi.org/10.1103/PhysRevB.24.6732
- Fukugita, M., et al. (1990) Journal of Physics A: Mathematical and General, 23, L561. https://doi.org/10.1088/0305-4470/23/11/009
- Kerler, W. and Weber, A. (1993) Physical Review B, 47, 11563. https://doi.org/10.1103/PhysRevB.47.11563
- Ota, S.B. and Ota, S. (2000) Journal of Physics: Condensed Matter, 12, 2233. https://doi.org/10.1088/0953-8984/12/10/308
- Ota, S. and Ota, S.B. (2001) Physics Letters A, 285, 247.
- Deng, Y. and Blote, H.W.J. (2004) Physics Letters E, 70, 35107. https://doi.org/10.1103/PhysRevE.70.035107
- Behringer, H. and Pleimling, M. (2006) Physics Letters E, 74, 11108. https://doi.org/10.1103/PhysRevE.74.011108
- Ota, S. and Ota, S.B. (2002) International Journal of Modern Physics B, 16, 3567. https://doi.org/10.1142/S0217979202013055
- Ota, S. and Ota, S.B. (1998) International Journal of Modern Physics B, 12, 2063. https://doi.org/10.1142/S0217979298001204
- Ota, S. and Ota, S.B. (2007) International Journal of Modern Physics B, 20, 3591. https://doi.org/10.1142/S0217979207037545