Abstract
Mean-field theory correctly predicts the critical behaviour of systems close to a phase transition, provided that fluctuations can be neglected. Fluctuations, however, become important if the dimensionality of the system is lower than a certain upper critical dimension. For such systems, it is necessary to use renormalization-group methods to describe the critical behaviour. Investigation of three-dimensional systems in which the upper critical dimension is also three can therefore provide a probe of the way in which mean-field theory breaks down when fluctuations become important1,2,3,4,5,6,7,8,9,10,11,12. An important example is the critical wetting transition that is predicted1,2 to occur in systems in which long-range forces are negligible, involving a continuous and reversible increase in the thickness of an adsorbed film. Here we present experimental observations of the short-range wetting transition close to the critical point in methanol–alkane binary liquid mixtures. We observe second-order, critical wetting for nonane (as characterized by the surface specific-heat exponent). The measured value is consistent with the predictions of mean-field theory, but disagrees strongly with renormalization-group calculations, which predict1,2,3,4 non-universal behaviour for this transition. The reasons for the apparent failure of the renormalization-group approach remain unclear; further experiments are needed to investigate the effects of fluctuations in more detail.
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References
Brézin, E., Haplerin, B. I. & Leibler, S. Critical wetting in three dimensions. Phys. Rev. Lett. 50, 1387–1390 (1983).
Brézin, E., Halperin, B. I. & Leibler, S. Critical wetting: the domain of validity of mean field theory. J.Phys. (France) 44, 775–783 (1983).
Fisher, D. S. & Huse, D. A. Wetting transitions: a functional renormalization-group approach. Phys. Rev. B 32, 247–256 (1985).
Schick, M. in Les Houches Summer School Session XLVIII, Liquids at Interfaces (eds Charvolin, J., Joanny, J. F. & Zinn-Justin, J.) 415–497 (Elsevier, Amsterdam, (1990).
Binder, K., Landau, D. P. & Kroll, D. M. Critical wetting with short-range forces: is mean-field theory valid? Phys. Rev. Lett. 56, 2272–2275 (1986).
Parry, A. O., Evans, R. & Binder, K. Critical amplitude ratios for critical wetting in three dimensions: observation of nonclassical behavior in the Ising model. Phys. Rev. B 43, 11535–11538 (1991).
Fisher, M. E. & Wen, H. Interfacial stiffness and the wetting parameter: the simple cubic Ising model. Phys. Rev. Lett. 68, 3654 (1992).
Binder, K., Landau, D. P. & Kroll, D. M. Reply. Phys. Rev. Lett. 68, 3655 (1992).
Evans, R., Hoyle, D. C. & Parry, A. O. Length scales for wetting transitions: beyond the continuum Landau approximation for the interfacial binding potential. Phys. Rev. A 45, 3823–3830 (1992).
Fisher, M. E. & Jin, A. J. Effective potentials, constraints, and critical wetting theory. Phys. Rev. B 44, 1430–1433 (1991).
Fisher, M. E. & Jin, A. J. Is short-range “critical” wetting a first-order transition? Phys. Rev. Lett. 69, 792–795 (1992).
Boulter, C. J. When is short-range “critical” wetting not critical? Phys. Rev. Lett. 79, 1897–1900 (1997).
Chaar, H., Moldover, M. R. & Schmidt, J. W. Universal amplitude ratios and the interfacial tension near consolute points of binary liquid mixtures. J. Chem. Phys. 85, 418–427 (1986).
Halpin-Healy, T. & Brézin, E. Critical wetting in three dimensions: a Ginzburg criterion. Phys. Rev. Lett. 58, 1220–1223 (1987).
Helfrich, W. in Les Houches Summer School Session XLVIII, Liquids at Interfaces (eds Charvolin, J., Joanny, J. F. & Zinn-Justin, J.) 209–236 (Elsevier, Amsterdam, (1990).
Buff, P. F., Lovett, R. A. & Stillinger, F. H. Interfacial density profile for fluids in the critical region. Phys. Rev. Lett. 15, 621–623 (1965).
Nightingale, M. P., Saam, W. F. & Schick, M. Absence of critical wetting in systems with long-range forces. Phys. Rev. Lett. 51, 1275–1278 (1983).
Bonn, D., Kellay, H. & Wegdam, G. H. Experimental observation of hysteresis in a wetting transition. Phys. Rev. Lett. 69, 1975–1978 (1992).
Acknowledgements
We thank E. Brézin, M. Bonn, C. Boulter, A. Parry and J. Indekeu for discussions. This work was supported by the EC.
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Ross, D., Bonn, D. & Meunier, J. Observation of short-range critical wetting. Nature 400, 737–739 (1999). https://doi.org/10.1038/23425
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DOI: https://doi.org/10.1038/23425
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