Critical fluctuations of a confined binary mixture

• Autorzy: Zubaszewska M. , Gendiar A. , Masłowski T.
• Języki publikacji: EN

Abstrakty

EN

Exploiting the mapping between a binary mixture and the Ising model we have analyzed the critical fluctuations by means of the density-matrix renormalization group technique. The calculations have been carried out for a two-dimensional Ising strip subject to equally strong surface fields. It was found that the critical Casimir force has significantly different behavior on opposite sides of the capillary condensation line, especially below the critical temperature. It can be concluded that in real binary mixtures the most attractive force appears at temperatures near Tc and at reservoir compositions slightly away from the critical composition.

Słowa kluczowe

EN

computational statistical mechanics; binary liquid mixture; critical phenomena

PL

mieszanina dwuskładnikowa ciekła; zjawiska krytyczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 177--182
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Zubaszewska M.

• Institute of Physics, University of Zielona Góra Zielona Góra, Poland

autor

Gendiar A.

• Institute of Physics, Slovak Academy of Sciences Bratislava, Slovakia

autor

Masłowski T.

• Institute of Physics, University of Zielona Góra Zielona Góra, Poland

Bibliografia

• [1] Fisher M.E., de Gennes P.G., Wall phenomena in a critical binary mixture, C. R. Acad. Sci. Paris Ser. B 1978, 287, 207-209.
• [2] Evans R., Fluids adsorbed in narrow pores: phase equilibria and structure, J. Phys. Condens. Matter 1990, 2, 8984-8989.
• [3] Mohry T.F., Maciołek A., Dietrich S., Crossover of critical Casimir forces between different surface universality classes, Phys. Rev. E 2010, 81, 061117-1-06111-17.
• [4] Maciołek A., Dietrich S., Critical Casimir effect in He-3-He-4 films, Europhys. Lett., 2006, 74, 22-28.
• [5] Gambassi A., The Casimir effect: From quantum to critical fluctuations, Journal of Physics: Conference Series 2009, 161, 012037-1-012037-18.
• [6] Getta T., Dietrich T., Bulk and interfacial wetting properties of binary liquid mixtures, Phys. Rev. E 1993, 47, 1856-1875.
• [7] Hertlein C., Helden L., Gambassi A., Dietrich S., Bechinger C., Direct measurement of critical Casimir forces, Nature 2008, 451, 172-175.
• [8] Gambassi A., Maciołek A., Hertlein C., Nellen U., Helden L., Bechinger C., Dietrich S., Critical Casimir effect in classical binary liquid mixtures, Phys. Rev. E 2009, 80, 061143-1 061143-27.
• [9] Maciołek A., Drzewiński A., Evans R., Near-critical confined fluids and Ising films: Density matrix renormalization-group study, Phys. Rev. E 2001, 64, 056137-1-056137-13.
• [10] Drzewiński A., Szota K., Corrections to the Kelvin equation for long-range boundary fields, Phys. Rev. E 2005, 71, 056110-1-056110-6.
• [11] Diehl H.W., Domb C., Lebowitz J.L., Phase Transitions and Critical Phenomena, Academic, New York 1986.
• [12] White S.R., Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett. 1992, 69, 2863-2866.
• [13] White S.R., Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B 1993, 48, 10345-10356.
• [14] Schollwoeck U., The density-matrix renormalization group, Rev. Mod. Phys. 2005, 77, 259-315.
• [15] Nishino T., Okunishi K., Density matrix and renromalization for classical lattice models, J. Phys. Soc. Jpn. 1996, 65, 891-894.
• [16] Carlon E., Drzewiński A., Rogiers J., Anomalous corrections to the Kelvin equation at complete wetting, Phys. Rev. B 1998, 58, 5070-5077.
• [17] Ueda K., Krcmar R., Gendiar A., Nishino T., Corner transfer matrix renormalization group method applied to the Ising model on the hyperbolic plane, J. Phys. Soc. Jpn. 2007, 76, 084004-1-084004-4.
• [18] Zubaszewska M., Maciołek A., Drzewiński A., Critical Casimir forces along the isofields, Phys. Rev. E 2013, 88, 052129-1-052129-8.
• [19] Maciołek A., Ciach A., Drzewiński A., Crossover between ordinary and normal transitions in two dimensional critical Ising films, Phys. Rev. E, 1999, 60, 1227-2896.
• [20] Onsager L., Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev. 1944, 65, 117-49.