Abstract
The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations at q=16 are consistent with the analytic result, obtained in the Hamiltonian limit at large values of q, that W∝t −1/3 on approach to the bulk critical temperature T c, t=|T c−T|/T c. In addition, the numerical findings allow to estimate corrections to scaling. Our study supports and quantifies a previous conclusion by Bricmont and Lebowitz based on low temperature expansions.
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REFERENCES
S. Dietrich, in Phase Transitions and Critical Phenomena, Vol. 12, C. Domb and J. L. Lebowitz, eds. (Academic Press, London, 1988), p. 1; M. Schick, in Liquids at Interfaces, Proceedings of the Les Houches Summer School Lectures, J. Chavrolin, J. F. Joanny, and J. Zinn-Justin, eds. (Elsevier, Amsterdam, 1990), p. 415.
W. Selke and W. Pesch, Z. Physik B 47:335 (1982); W. Selke and D. A. Huse, Z. Physik B 50:113 (1983).
W. Selke, Lecture Notes in Physics 206:191 (1984).
R. Lipowsky, D. M. Kroll, and R. K. P. Zia, Phys. Rev. B 27:4499 (1983).
W. Selke and J. Yeomans, J. Phys. A: Math. Gen. 16:2789 (1983); W. Selke, D. A. Huse, and D. M. Kroll, J. Phys. A: Math. Gen. 17:3019 (1984).
J. Bricmont and J. L. Lebowitz, J. Stat. Phys. 46:1015 (1987).
J. Cardy, cond-mat/9806098 (1998).
F. Y. Wu, Rev. Mod. Phys. 54:235 (1982).
K. Binder, ed., Applications of the Monte Carlo Method in Solid State Physics (Springer, Heidelberg, 1992).
I. Peschel, K. Hallberg, and X. Wang, eds., Proceedings of the First International DMRG Workshop, Lecture Notes in Physics (Springer, Heidelberg, 1999), in print.
A. Klümper, A. Schadschneider, and J. Zittartz, Z. Physik B 76:247 (1989).
S. R. White, Phys. Rev. Lett. 69:2863 (1992).
T. Nishino, J. Phys. Soc. Jpn. 64:3598 (1995).
T. Nishino and K. Okunishi, J. Phys. Soc. Jpn. 65:891 (1996).
E. Carlon and F. Iglói, Phys. Rev. B 57:7877 (1998).
F. Iglói and E. Carton, Phys. Rev. B 59:3783 (1999).
J. B. Kogut, Rev. Mod. Phys. 51:659 (1979).
J. Sólyom and P. Pfeuty, Phys. Rev. B 24:218 (1981).
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Carlon, E., Iglói, F., Selke, W. et al. Interfacial Adsorption in Two-Dimensional Potts Models. Journal of Statistical Physics 96, 531–543 (1999). https://doi.org/10.1023/A:1004542105635
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DOI: https://doi.org/10.1023/A:1004542105635