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Mode-coupling theory of the glass transition for confined fluids.

Authors
  • Lang, Simon
  • Schilling, Rolf
  • Krakoviack, Vincent
  • Franosch, Thomas
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Aug 01, 2012
Volume
86
Issue
2 Pt 1
Pages
21502–21502
Identifiers
PMID: 23005764
Source
Medline
License
Unknown

Abstract

We present a detailed derivation of a microscopic theory for the glass transition of a liquid enclosed between two parallel walls relying on a mode-coupling approximation. This geometry lacks translational invariance perpendicular to the walls, which implies that the density profile and the density-density correlation function depends explicitly on the distances to the walls. We discuss the residual symmetry properties in slab geometry and introduce a symmetry adapted complete set of two-point correlation functions. Since the currents naturally split into components parallel and perpendicular to the walls the mathematical structure of the theory differs from the established mode-coupling equations in bulk. We prove that the equations for the nonergodicity parameters still display a covariance property similar to bulk liquids.

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