Long range correlations generated by phase separation. Exact results from field theory

Abstract

We consider near-critical planar systems with boundary conditions inducing phase separation. While order parameter correlations decay exponentially in pure phases, we show by direct field theoretical derivation how phase separation generates long range correlations in the direction parallel to the interface, and determine their exact analytic form. The latter leads to specific contributions to the structure factor of the interface.

References in corpus (13)

• Quark confinement and the bosonic string
• Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory
• Description of the fluctuating colloid-polymer interface
• Enhanced wavelength-dependent surface tension of liquid-vapour interfaces
• Fluctuation theory of connectivities for subcritical random cluster models
• Phase separation in a wedge. Exact results
• Pair correlation functions and the wavevector-dependent surface tension in a simple density functional treatment of the liquid-vapour interface
• Phase separation and interface structure in two dimensions from field theory
• Exact theory of intermediate phases in two dimensions
• Fields, particles and universality in two dimensions
• Interfaces and wetting transition on the half plane. Exact results from field theory
• Multiple phases and vicious walkers in a wedge
• Interface localization near criticality

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