Critical Casimir effect in - films

A. Maciołek; S. Dietrich

doi:10.1209/epl/i2005-10497-y

All issues

Volume 74 / No 1 (April 2006)

Europhys. Lett., 74 1 (2006) 22-28

Abstract

Issue		Europhys. Lett. Volume 74, Number 1, April 2006


Page(s)		22 - 28
Section		General
DOI		https://doi.org/10.1209/epl/i2005-10497-y
Published online		22 February 2006

Europhys. Lett., 74 (1), pp. 22-28 (2006)

Critical Casimir effect in $\chem{^3He}$ - $\chem{^4He}$ films

A. Maciołek¹ and S. Dietrich²^,3

¹ Institute of Physical Chemistry, Polish Academy of Sciences Kasprzaka 44/52, PL-01-224 Warsaw, Poland
² Max-Planck-Institut für Metallforschung - Heisenbergstr. 3 D-70569 Stuttgart, Germany
³ Institut für Theoretische und Angewandte Physik, Universität Stuttgart Pfaffenwaldring 57, D-70569 Stuttgart, Germany

Received: 14 November 2005
Accepted: 3 February 2006

Abstract

Universal aspects of the critical Casimir force f_C in wetting films of $\chem{^3He}$ - $\chem{^4He}$ mixtures near their bulk tricritical point are studied within models of the corresponding universality class. f_C for such films of thickness L is calculated along isotherms at several fixed concentrations of $\chem{^3He}$ . Nonsymmetric boundary conditions impose nontrivial concentration profiles leading to repulsive force which exhibit a rich crossover behavior between the tricritical point and the line of critical points. The theoretical results agree semiquantitatively with published experimental data and emphasize the importance of logarithmic corrections. The universal Casimir amplitude is the amplitude of the leading behavior $\sim L^{-3}(\ln L)^{1/2}$ dominating the contribution $\sim L^{-3}$ whose amplitude is nonuniversal and which is comparable with the background dispersion force contributions.

PACS: 05.70.Jk – Critical point phenomena / 64.60.Kw – Multicritical points / 68.15.+e – Liquid thin films

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