DOI: 10.1002/bbpc.19940980345. Surface amplitude ratios and nucleated wetting near a critical end point

Surface amplitude ratios and nucleated wetting near a critical end point

10.1002/bbpc.19940980345

Crossref journal-article

Wiley

Berichte der Bunsengesellschaft für physikalische Chemie (311)

Abstract

AbstractWe examine two recently discovered phenomena which occur at the liquid/vapor surface of a critical binary liquid mixture; namely, (i) the universality of the critical adsorption amplitude ratio and (ii) the observation of the nucleation of wetting droplets after a temperature quench from the one phase into the two phase region.The recent theoretical work of Fisher and Upton on the universality of the surface tension amplitude ratio suggests that the ratio of the critical adsorption amplitude above and below Tc should also be universal. This is indeed found to be the case for five critical liquid mixtures where the modified critical adsorption amplitude ratio has an experimental value of RMA = 1.18±0.13. This result agrees reasonable well with the RG calculations of Diehl and Smock.In the two‐phase region, for sufficiently small reduced temperatures t, the critical liquid mixture hexadecane + acetone has an acetone‐rich wetting layer at the liquid/vapor surface at equilibrium. We examine the time development of this wetting layer after a temperature quench from the one phase into the two phase region. The liquid/vapor surface initially drops into a metastable surface state which is well described by critical adsorption. The lifetime,τ0, of this metastable state is many hours and depends upon the reduced temperature, t. At the nucleation time τ0 acetone‐rich droplets nucleate and grow at the liquid/vapor surface; good agreement is found for τ0 between theory and experiment for t≥8×10−5. An essential ingredient of the theory is the inclusion of a line tension term in the free energy of the nucleated droplet. At large times τ the droplets coalesce into a metastable wetting film which eventually undergoes a hydrodynamic instability to an equilibrium wetting film.

Bibliography

Law, B. M. (1994). Surface amplitude ratios and nucleated wetting near a critical end point. Berichte Der Bunsengesellschaft FÃ¼r Physikalische Chemie, 98(3), 472â477. Portico.

Authors 1

Bruce M. Law (first)

References 43 Referenced 12

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{'key': 'e_1_2_1_2_3', 'volume-title': 'Fluid Interfacial Phenomena', 'author': 'Sullivan D. E.', 'year': '1985'} / Fluid Interfacial Phenomena by Sullivan D. E. (1985)
{'key': 'e_1_2_1_2_4', 'volume-title': 'Les Houches, Session XLVIII, 1988 – Liquids at Interfaces', 'author': 'Schick M.', 'year': '1990'} / Les Houches, Session XLVIII, 1988 – Liquids at Interfaces by Schick M. (1990)
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In the nonretarded regimeFd(h)∼h−3or equivalently the dispersion free energy ∼W/h2as in Eq. (6).
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B. M.Law submitted to Phys. Rev. E.

Dates

Type	When
Created	13 years, 1 month ago (July 26, 2012, 6:05 a.m.)
Deposited	1 year, 10 months ago (Oct. 23, 2023, 9:02 p.m.)
Indexed	1 year, 6 months ago (Feb. 6, 2024, 7:49 a.m.)
Issued	31 years, 5 months ago (March 1, 1994)
Published	31 years, 5 months ago (March 1, 1994)
Published Online	15 years, 3 months ago (May 8, 2010)
Published Print	31 years, 5 months ago (March 1, 1994)

Funders 0

None

BibTeX

@article{Law_1994, title={Surface amplitude ratios and nucleated wetting near a critical end point}, volume={98}, ISSN={0005-9021}, url={http://dx.doi.org/10.1002/bbpc.19940980345}, DOI={10.1002/bbpc.19940980345}, number={3}, journal={Berichte der Bunsengesellschaft für physikalische Chemie}, publisher={Wiley}, author={Law, Bruce M.}, year={1994}, month=mar, pages={472–477} }

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