Abstract
The finite-size scaling algorithm based on bulk and surface renormalization of de Oliveira is tesed onq-state Potts models in dimensionsD=2 and 3. Our Monte Carlo data clearly distinguish between first- and second-order phase transitions. Continuous-q analytic calculations performed for small lattices show a clear tendency of the magnetic exponentY=D-β/v to reach a plateau for increasing values ofq, which is consistent with the first-order transition valueY=D. Monte Carlo data confirm this trend.
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References
P. M. C. de Oliveira,Europhys. Lett. 20:621 (1992).
J. M. Figueiredo Neto, S. M. Moss de Oliveira, and P. M. C. de Oliveira,Physica A 206:463 (1994); P. M. C. de Oliveira,Physica A 205:101 (1994); S. M. Moss de Oliveira, P. M. C. de Oliveira, and F. C. Sá Barreto,J. Stat. Phys. 78:1619 (1995).
R. B. Potts,Proc. Camb. Phil. Soc. 408:106 (1952); F. Y. Wu,Rev. Mod. Phys. 54:235 (1982); A. Hintermann, H. Kunz, and F. Y. Wu,J. Stat. Phys. 19:623 (1978); M. P. M. den Nijs,J. Phys. A 12:1857 (1979); B. Nienhus, E. K. Riedel, and M. Schick,J. Phys. A 13:L189 (1980); R. Pearson,Phys. Rev. B 22:2579 (1980).
K. Binder,Phys. Rev. Lett. 47:693 (1981).
M.P. Nightingale,J. Appl. Phys. 53:7927 (1982).
R. M. Ziff,Phys. Rev. Lett. 69:2670 (1992).
J. A. Plascak and J. Kamphorst Leal da Silva, Preprint UFMG (1995).
T. Bhattacharya, R. Lacaze, and A. Morel,Nucl. Phys. B 435[FS], 526 (1995), and references therein.
R. J. Baxter,J. Phys. C 6:L445 (1973);J. Stat. Phys. 9:145 (1973).
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Communicated by A. Aharony
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de Oliveira, P.M.C., Moss de Oliveira, S.M., Cordeiro, C.E. et al. Finite-size scaling for first-order transitions: Potts model. J Stat Phys 80, 1433–1442 (1995). https://doi.org/10.1007/BF02179879
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DOI: https://doi.org/10.1007/BF02179879