Critical fluctuations of a confined binary mixture

Abstract

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 equal strong surface fields. It was found that the critical Casimir force displays significantly different behavior on opposite sides of the capillary condensation line, especially below the critical temperature. It can be concluded that in a real binary mixtures the most attractive force appears at temperatures near T_C and at reservoir compositions slightly away from the critical composition.

arXiv comment7 pages, 3 figures

References in corpus (6)

• The density-matrix renormalization group
• Critical Casimir effect in classical binary liquid mixtures
• The Casimir effect: from quantum to critical fluctuations
• Crossover of Critical Casimir forces between different surface universality classes
• Corner Transfer Matrix Renormalization Group Method Applied to the Ising Model on the Hyperbolic Plane
• Anomalous corrections to the Kelvin equation at complete wetting