Preferences help
enabled [disable] Abstract
Number of results
2018 | 133 | 3 | 435-437
Article title

Computation of Latent Heat based on the Energy Distribution Histogram in the 3D Ashkin-Teller Model

Title variants
Languages of publication
The method of computation of the latent heat based on the energy distribution histogram is applied to the standard 3D Ashkin-Teller (AT) model. Similarly as in the original method for the q-state Potts model for strong first order phase transitions, the characteristic histogram with two peaks in the critical region have been observed. Positions of two minima of negative logarithm of internal energy probability for samples of finite size show good linear scalability to the thermodynamic limit. The applicability of this method has been confirmed by proving that the latent heat values are consistent with the ones obtained by us using the analysis of the behavior of the cumulants of the type of Challa and of Lee-Kosterlitz. The presented method is far more efficient than the one based on those cumulants.
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
  • [1] J. Ashkin, E. Teller, Phys. Rev. 64, 178 (1943), doi: 10.1103/PhysRev.64.178
  • [2] C. Fan, Phys. Lett. 39A, 136 (1972), doi: 10.1016/0375-9601(72)91051-1
  • [3] J. P. Santos, F. C. Sá Barreto, Braz. J. Phys. 46, 70 (2016), doi: 10.1007/s13538-015-0385-0
  • [4] R. J. Baxter, Exactly Solvable Models in Statistical Mechanics, Academic Press, London 1982
  • [5] P. Arnold, Y. Zhang, Nuclear Phys. B 501, 803 (1997), doi: 10.1016/S0550-3213(97)00405-7
  • [6] L. F. Feiner, A. M. Oleś, Phys. Rev. B 59, 3295 (1999), doi: 10.1103/PhysRevB.59.3295
  • [7] G. Musiał, Phys. Rev. B 69, 024407 (2004), doi: 10.1103/PhysRevB.69.024407
  • [8] G. Szukowski, G. Kamieniarz, G. Musiał, Phys. Rev. E 77, 031124 (2008), doi: 10.1103/PhysRevE.77.031124
  • [9] D. Jeziorek-Knioła, G. Musiał, L. Dębski, J. Rogiers, S. Dylak, Acta. Phys. Pol. A 121, 1105 (2012), doi: 10.12693/APhysPolA.121.1105
  • [10] D. Jeziorek-Knioła, G. Musiał, Z. Wojtkowiak, Acta. Phys. Pol. A 127, 327 (2015), doi: 10.12693/APhysPolA.127.327
  • [11] J. Lee, J. M. Kosterlitz, Phys. Rev. B 43, 3265 (1991), doi: 10.1103/PhysRevB.43.3265
  • [12] M.S.S. Challa, D.P. Landau, K. Binder, Phys. Rev. B 34, 1841 (1986), doi: 10.1103/PhysRevB.34.1841
  • [13] K. Binder, D.P. Landau, Phys. Rev. B 30, 1477 (1984), doi: 10.1103/PhysRevB.30.1477
Document Type
Publication order reference
YADDA identifier
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.