Abstract
We use the Wang-Landau algorithm to investigate the thermodynamic properties of the two-dimensional ferromagnetic Blume-Capel (BC) Model on a square lattice near the tricritical point. In this region, the energy levels of the BC Hamiltonian have a much greater density than for the Ising model. Together with the necessity of distinguishing first and second order transitions, the BC Hamiltonian thus poses a challenging test of the effectiveness of the Wang-Landau method.
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References
M. Blume: Phys. Rev. 141, 517 (1966)
H.W. Capel: Physica 32, 966 (1966)
M. Blume, V.J. Emery, R.B. Griffiths: Phys. Rev. A 4, 1070 (1971)
F.C. Alcaraz, J.R. Drugowich de Felício, R. Köberle, J.F. Stilck: Phys. Rev. B 32, 7469 (1985)
P.D. Beale: Phys. Rev. B 33, 1717 (1986)
F. Wang, D.P. Landau: Phys. Rev. Lett. 86, 2050 (2001); Phys. Rev. E 64, 056101 (2001)
T.W. Burkhardt: Phys. Rev. B 14, 1196, (1976)
D.P. Landau, R.H. Swendsen: Phys. Rev. Lett. 46, 1437 (1981)
D.P. Landau, R.H. Swendsen: Phys. Rev. B 33, 7700 (1986)
W. Selke, J. Yeomans: J. Phys. A 16, 2789 (1983)
Q. Yan, J. de Pablo: Phys. Rev. Lett. 90, 035701 (2003)
K. Binder, in Finite-Size Scaling and Numerical Simulation of Statistical Systems, ed. by V. Privman (World Scientific, Singapore 1990), p. 173
D.P. Landau, in Finite-Size Scaling and Numerical Simulation of Statistical Systems, ed. by V. Privman (World Scientific, Singapore 1990); p. 223.
B.J. Schulz, K. Binder, M. Müller: Int. J. Mod. Phys. C 13, 477, (2002)
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Hurt, D., Eitzel, M., Scalettar, R., Batrouni, G. (2007). Analysis of the Blume-Capel Model with the Wang-Landau Algorithm. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XVIII. Springer Proceedings in Physics, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32640-3_14
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DOI: https://doi.org/10.1007/978-3-540-32640-3_14
Publisher Name: Springer, Berlin, Heidelberg
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