Critical adsorption near edges

TL;DR

This paper investigates the universal behavior of order parameter profiles and correlation functions near edges in critical systems, focusing on the normal transition and critical exponents.

Contribution

It determines the critical exponents eta_parallel and eta_perpendicular for the normal transition in systems with symmetry-breaking surface fields.

Findings

Universal scaling functions characterized for order parameter profiles.

Critical exponents eta_parallel and eta_perpendicular calculated.

Insights into long-range order near edges in critical phenomena.

Abstract

Symmetry breaking surface fields give rise to nontrivial and long-ranged order parameter profiles for critical systems such as fluids, alloys or magnets confined to wedges. We discuss the properties of the corresponding universal scaling functions of the order parameter profile and the two-point correlation function and determine the critical exponents eta_parallel and eta_perpendicular for the so-called normal transition.