Work

Influence of the Casimir effect on the binding potential for three-dimensional wetting

Year: 2026

Type: article

Abstract: We provide comprehensive details of how a previously overlooked entropic, or low-temperature Casimir contribution, W_{C}, to the total binding potential for three-dimensional short-ranged wetting may be determined from a microscopic Landau-Ginzburg-Wilson Hamiltonian. The entropic contribution comes from the many microscopic configurations corresponding to a given interfacial one, which arise from bulklike fluctuations about the mean-field (MF) constrained profile, and adds to the usual MF contribution W_{MF}. We determine the functional dependence of W_{C} on the interface (and wall) shape using a boundary integral method which can be cast as a diagrammatic expansion with each diagram corresponding to successively higher-order exponentially decaying contributions. The decay of W_{C} is qualitatively different for first-order and critical wetting with the change in form occurring at the MF tricritical point. Including the Casimir contribution to the binding potential preserves the global surface phase diagram but changes, radically, predictions for fluctuation effects at first-order and tricritical wetting, even when capillary-wave fluctuations are not considered.

Source: Physical review. E

DOI: 10.1103/5gx7-spg3

Authors: Alessio Squarcini, José M. Romero-Enrique, Andrew O. Parry

Institutions: University of Luxembourg, Universidad de Sevilla, Imperial College London

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Ministerio de Ciencia e Innovación

Awards: G279363373, G3464772594