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Abstrakty
Recent developments in the statistical theory of simple fluids in a film geometry near bulk criticality is reviewed.We summarize results obtained by exact or approximate, but very accurate methods within Ising model. Particular attention is paid to the properties of the measurable solvation force and its relation to the structure of the confined system, in the Ising model given by magnetization profiles. Relevance of the reviewed results for various physical systems is briefly discussed.
Słowa kluczowe
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Tom
Strony
481--500
Opis fizyczny
Bibliogr. 37 poz., rys.
Twórcy
autor
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, PL-01-224 Warsaw, Poland
autor
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, PL-01-224 Warsaw, Poland
Bibliografia
- 1. for review see, for example, The Critical Point by Domb C., (Taylor & Francis Ltd, London, 1996).
- 2. Monte Carlo Methods in Condensed Matter Physics, ed. by Binder K., (Springer, Berlin 1992).
- 3. Adler J., in Ann. Rev. Comput, Phys., 4, ed. by Stauffer D., (World Scientific, Singapore, 1996).
- 4. Although the name DMRG is widely used, the method has only some analogies with the traditional renormalization technique.
- 5. White S.R., Phys. Rev. Lett., 69, 2863 (1992).
- 6. Nishino T., J. Phys. Soc. Jpn., 64, 3598 (1995),
- 7. Carlon E. and Drzewinski A., Phys, Rev. Lett., 79, 1591 (1997); Phys. Rev. E, 57, 2626 (1998).
- 8. Maciolek A. and Stecki J., Phys. Rev. B, 54, 1128 (1996).
- 9. Barber M.N., Phase Transitions and Critical Phenomena, edited by Domb C. and Lebowitz J.L. (Academic Press, London, 1983), vo!. 8, p. 1; Privman V., Finite Size Scaling and Numerical Simulation of Statistical Systems, edited by Privman V. (Singapore, World Scientific, 1994); Privmav V., Ilohenberg P.C. and Aharony A., Phase Transitions and Critical Phenomena, edited by Domb C, and Lebowitz J.L. (Academic Press, NY, 1991), vol. 14, p. 1.
- 10. For a general review of critical behavior at surfaces, see Binder K., Phase Transitions and Critical Phenomena, edited by Domb C. and Lebowitz J.L. (Academic Press, London, 1983), vol. 8, p. 1; Diehi H.W., Phase Transitions and Critical Phenomena, edited by Domb C. and Lebowitz J.L. (Academic Press, London, 1986), vol. 10, p. 75; Diehl H.W., Int. J. Mod. Physics, 11, 1897 (1997).
- 11. Evans R., J. Phys. Condens. Matter., 2, 8989 (1990) and references therein.
- 12. Krech M., The Casimir Effect in Critical System (World Scientific, Singapore, 1994), and references therein; J. Phys.:Condens. Matter, 11, R391 (1999).
- 13. Israelachvili J.N., Intermolecular and Surface Forces (Academic, London, 1991), 2nd ed_
- 14. Evans R. and Stecki J., Phys. Rev. B, 49, 8842 (1993).
- 15. Drzewiński A,, Maciołek A. and Ciach A., Phys. Rev. E, 61, 5009 (2000).
- 16. Drzewiński A., Maciołek A. and Evans R,, Phys. Rev. Lett., 85, 3079 (2000).
- 17. Evans R., Marini Bettolo Marconi U, and Tarazona P., J. Chem. Phys., 84, 2376. (1986).
- 18. Ducker W.A., Senden T.J. and Pashley R.M., Nature, 353, 239 (1991),
- 19. Fisher M E. and de Gennes P.G., C. R. Acad Sci. Ser. B, 287, 207 (1978).
- 20. Casimir H.B.G., Proc. K. Ned. Akad. Wet., 51, 793 (1948).
- 21. Experimental evidence for the critical Casimir effect was reported recently in measurements of the thick¬ness of wetting films for 4He near its X point by Garcia R. and Chan M.H.W., Phys. Rev. Lett., 83, 1187 (1999), and for binary liquid mixtures near the critical end-point by Mukhopadhyay A. and Law Bruce M„ Phys. Rev. Lett., 83, 772 (1999).
- 22. Krech M. and Dietrich S., Phys. Rev A, 46, 1055 (1992); 46, 1922 (1992).
- 23. Fisher M.E., Rev. Mod. Phys., 46, 597 (1974).
- 24. Maciolek A., Ciach A. and Drzewiński A., Phys. Rev. E., 60, 2887 (1999).
- 25. Fisher M.E. and Nakanishi H., J. Chem. Phys.,75,5857 (1981);Nakanishi H. and Fisher M.E., J. Chem. Phys., 78, 3279(1983).
- 26. For Monte Carlo results see Albano E.V., Binder K. and Paul W., J. Phys. A Math. Gen., 30,3285 (1997) and references therein.
- 27. Parry A. O. andEvansR., J. Phys. A Math. Gen., 25,275 (1992). The validity of the leading, 0(1 tL) result and the presence of the predicted corrections was confirmed for low T by DMRG in [28].
- 28. Carlon E., Drzewinski A. and Rogiers J., Phys. Rev. B, 58, 5070 (1998).
- 29. Privman V. and Fisher M.E., J. Stat. Phys., 33, 385 (1983).
- 30. Cardy J.L., Nucl. Phys. B, 275, 200 (1986).
- 31. Maciolek A., Ciach A. and Evans R., J. Chem. Phys., 108, 9765 (1998).
- 32. Krech M. and Dietrich S., Phys. Rev. A, 46, 1922 (1992).
- 33. Krech M., Phys. Rev. E, 56, 1642 (1997).
- 34. Borjan Z. and Upton P., to be published; Botjan Z., PhD thesis, University of Bristol 1999,unpublished.
- 35. Schlesener F., private communication.
- 36. Evans R., private communication.
- 37. Hanke A., Schlesener F., Eisenriegler E. and Dietrich S., Phys. Rev. Lett., 81, 1885 (1998).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BUJ1-0017-0027