Corner wetting transition in the two-dimensional Ising model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 1, 1998, Pages

  Lipowski, Adam ^a  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002229488     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.R1     Document Type: Article

References (14)

1. L. Onsager, Phys. Rev. 65, 117 (1944).
2. C. N. Yang, Phys. Rev. 85, 808 (1952).
3. T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch, Phys. Rev. B 13, 316 (1976).
4. D. B. Abraham, Phys. Rev. Lett. 44, 1165 (1980).
5. G. Forgacs, N. M. Švrakić, and V. Privman, Phys. Rev. B 38, 8996 (1988).
6. S. Dietrich, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1988), Vol. 12.
7. G. Forgacs, R. Lipowsky, and Th. M. Nieuwenhuizen, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1991), Vol. 14.
8. K. Binder, in Applications of the Monte Carlo Method in Statistical Physics, edited by K. Binder (Springer-Verlag, Berlin, 1984).
9. A. J. Bray, Adv. Phys. 43, 357 (1994).
10. W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1957), Vol. 1.
11. Strictly speaking, we are assuming at this moment that the transition is continuous and 〈k〉 diverges. Later, it will turn out that the transition, found using this assumption, is indeed continuous but the flaw in the logic remains.
12. C. Rottman and M. Wortis, Phys. Rep. 103, 59 (1984).
13. Such an analogy should be taken with care. In three-dimensional systems wetting and roughening are different phenomena that, in general, take place at different temperatures. However, the analogy might help the reader to place the corner wetting transition among other interfacial transitions.
14. J. D. Shore, M. Holzer, and J. P. Sethna, Phys. Rev. B 46, 11 376 (1992).