Bulk and boundary effects on the decay of the thermodynamic Casimir force

Abstract

We consider the decay of the thermodynamic Casimir force in phases with a finite correlation length. For the case of the strip, we use properties of low energy two-dimensional field theory to show that the decay depends on the symmetry properties of the boundary conditions, in distinctive ways that we determine exactly. Features characteristic of the bulk universality class may induce modifications that we also discuss. Symmetry breaking and symmetry preserving boundary conditions exchange their role with respect to the decay of the force when exchanging spontaneously broken with disordered phases. Several of our arguments extend to higher dimensions.

6 EPL pages

References in corpus (10)

• Critical Casimir force in ${}^4$He films: confirmation of finite-size scaling
• Critical Casimir forces in colloidal suspensions on chemically patterned surfaces
• Monte Carlo simulation results for critical Casimir forces
• Tunability of Critical Casimir Interactions by Boundary Conditions
• Comment on the sign of the Casimir force
• Crossover from Attractive to Repulsive Casimir Forces and Vice Versa
• Phase separation in a wedge. Exact results
• Phase separation and interface structure in two dimensions from field theory
• Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
• Boundary one-point function, Casimir energy and boundary state formalism in D+1 dimensional QFT

Cited by in corpus (3)

• Fields, particles and universality in two dimensions
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