Phase separation in a wedge. Exact results

Abstract

The exact theory of phase separation in a two-dimensional wedge is derived from the properties of the order parameter and boundary condition changing operators in field theory. For a shallow wedge we determine the passage probability for an interface with endpoints on the boundary. For generic opening angles we exhibit the fundamental origin of the filling transition condition and of the property known as wedge covariance.

7 pages, 3 figures

References in corpus (10)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Filling transition for a wedge
• Geometry dominated fluid adsorption on sculptured substrates
• Critical Effects at 3D Wedge-Wetting
• Universality for 2D Wedge Wetting
• Critical Point Wedge Filling
• Covariance for Conic and Wedge Complete Filling
• Phase separation and interface structure in two dimensions from field theory
• Exact theory of intermediate phases in two dimensions
• Interfaces and wetting transition on the half plane. Exact results from field theory

Cited by in corpus (27)

• On the theory of quantum quenches in near-critical systems
• Classifying Potts critical lines
• Fields, particles and universality in two dimensions
• Filling transitions in acute and open wedges
• Vortex mass in the three-dimensional $O(2)$ scalar theory
• Particles, string and interface in the three-dimensional Ising model
• On superuniversality in the $q$-state Potts model with quenched disorder
• Multiple phases and vicious walkers in a wedge
• Long range correlations generated by phase separation. Exact results from field theory
• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Bulk and boundary effects on the decay of the thermodynamic Casimir force
• Interface in presence of a wall. Results from field theory
• Multipoint correlation functions at phase separation. Exact results from field theory
• Bridging of liquid drops at chemically structured walls
• Interface localization near criticality
• Structure of interfaces at phase coexistence. Theory and numerics
• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations
• Monte Carlo study of the interfacial adsorption of the Blume-Capel model
• Efficient algortihms for the two dimensional Ising model with a surface field
• Meniscus osculation and adsorption on geometrically structured walls
• Capillary Condensation and Depinning Transitions in Open Slits
• Quantum quenches from an excited state
• Curvature corrections to the nonlocal interfacial model for short-ranged forces
• The Influence of Intermolecular Forces at Critical Point Wedge Filling
• Crossover scaling of apparent first-order wetting in two dimensional systems with short-ranged forces
• Critical effects and scaling at meniscus osculation transitions
• Three types of condensation in open wedges