Solvation forces in Ising films with long-range boundary fields: density-matrix renormalization-group study

Abstract

Using the quasi-exact density-matrix renormalization-group method we calculate the solvation forces in two-dimensional Ising films of thickness L subject to identical algebraically decaying boundary fields with various decay exponents p. At the bulk critical point the solvation force acquires a universal contribution which is long-ranged in L due to the critical fluctuations, a phenomenon known as the critical Casimir effect. For p = 2, 3 and 50, we study the scaling behaviour of the solvation force along the pseudo-phase coexistence and along the critical and sub-critical isotherms.

9 pages, 6 figures, accepted to Molecular Physics

References in corpus (5)

• Critical Casimir effect in classical binary liquid mixtures
• Capillary bridging and long-range attractive forces in a mean-field approach
• Interplay of critical Casimir and dispersion forces
• Novel perspectives for the application of total internal reflection microscopy
• Solvation force for long ranged wall-fluid potentials

Cited by in corpus (3)

• Casimir amplitudes and capillary condensation of near-critical fluids between parallel plates: Renormalized local functional theory
• Critical Casimir Effect: Exact Results
• Critical and near critical phase behaviour and interplay between the thermodynamic Casimir and van der Waals forces in confined non-polar fluid medium with competing surface and substrate potentials