Universal surface scaling function for critical adsorption

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

Volumn 59, Issue 5, 1999, Pages 5655-5658

  Carpenter, J H ^a   Law, B M ^a   Smith, D S P ^b  

^a KANSAS STATE UNIVERSITY   (United States)

^b Natural Science Department   (United States)

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ARTICLE;

EID: 0000667950     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5655     Document Type: Article

References (30)

1. B. M. Law, Ber. Bunsenges. Phys. Chem. 98, 472 (1994).
2. A. W. Adamson, Physical Chemistry of Surfaces, 4th ed. (Wiley, New York, 1982).
3. B. M. Law, Phys. Rev. E 57, 5782 (1998).
4. M. E. Fisher and P.-G. de Gennes, C. R. Seances Acad. Sci., Ser. B 287, 207 (1978).
5. M. E. Fisher and J.-H. Chen, J. Phys. (Paris) 46, 1645 (1985).
6. H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1986), Vol. 10.
7. N. S. Desai, Phys. Rev. E 52, 4129 (1995).
8. A. J. Liu and M. E. Fisher, Phys. Rev. A 40, 7202 (1989).
9. H. Zhao, Phys. Rev. Lett. 75, 1977 (1995).
10. B. M. Law, Phys. Rev. Lett. 67, 1555 (1991).
11. D. S. P. Smith and B. M. Law, Phys. Rev. E 52, 580 (1995).
12. G. Flöter and S. Dietrich, Z. Phys. B 97, 213 (1995).
13. D. S. P. Smith, Phys. Rev. E 55, 620 (1997).
14. M. E. Fisher and H. Au-Yang, Physica A 101, 255 (1980).
15. S. Gnutzmann and U. Ritschel, Z. Phys. B 96, 391 (1995).
16. H. W. Diehl and M. Smock, Phys. Rev. B 47, 5841 (1993)
17. Phys. Rev. BH. W. DiehlM. Smock48, 6470(E) (1993).
18. Here we ignore the small differences in value between the true correlation length 18 and the second moment of the bulk correlation length 19. Flöter and Dietrich 12 suggest a considerably lower value for the true correlation length of (Formula presented); this value will be considered in more detail in 20.
19. H. B. Tarko and M. E. Fisher, Phys. Rev. Lett. 31, 926 (1973).
20. A. J. Liu and M. E. Fisher, Physica A 156, 35 (1989)
21. Physica AC. Ruge, P. Zhu, and F. Wagner, 209, 431 (1994).
22. J. H. Carpenter (unpublished).
23. M. Smock, Ber. Bunsenges. Phys. Chem. 98, 486 (1994).
24. D. S. P. Smith and B. M. Law, Phys. Rev. E 54, 2727 (1996).
25. Smith et al. 13 deduced (Formula presented), which yielded (Formula presented), however, a better estimate (Formula presented), gives (Formula presented).
26. The experiments of Smith and Law are in the strong (Formula presented) limit 22.
27. This restriction will be removed in a later paper 20; it does not make a significant difference to the shape of (Formula presented).
28. Namely, (Formula presented) and a noncritical correlation length associated with each of the four liquid mixtures 13.
29. P. R. Bevington, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, New York, 1969).
30. A. Hirtz, Colloids Surface 51, 405 (1990).