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Critical Casimir force between inhomogeneous boundaries

TitleCritical Casimir force between inhomogeneous boundaries
Publication TypeJournal Article
Year of Publication2015
AuthorsDubail J, Santachiara R, Emig T
JournalEPL (Europhysics Letters)
Volume112
Issue6
Pagination66004
Date PublishedDec-2015
ISSN0295-5075
Abstract

To study the critical Casimir force between chemically structured boundaries immersed in a binary mixture at its demixing transition, we consider a strip of Ising spins subject to alternating fixed spin boundary conditions. The system exhibits a boundary induced phase transition as function of the relative amount of up and down boundary spins. This transition is associated with a sign change of the asymptotic force and a diverging correlation length that sets the scale for the crossover between different universal force amplitudes. Using conformal field theory and a mapping to Majorana fermions, we obtain the universal scaling function of this crossover, and the force at short distances.

DOI10.1209/0295-5075/112/66004
Short TitleEPL
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