Mode-coupling theory of the glass transition for confined fluids

Lang S, Schilling R, Krakoviack V, Franosch T (2012)

Publication Type: Journal article

Publication year: 2012

Journal

Physical Review E American Physical Society

Book Volume: 86

Journal Issue: 2

DOI: 10.1103/PhysRevE.86.021502

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.

Authors with CRIS profile

Simon Lang Lehrstuhl für Theoretische Physik Thomas Franosch Professur für Theoretische Physik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

Involved external institutions

Johannes Gutenberg-Universität Mainz (JGU) DE Germany (DE) École normale supérieure de Lyon (ENS) FR France (FR)

How to cite

APA:

Lang, S., Schilling, R., Krakoviack, V., & Franosch, T. (2012). Mode-coupling theory of the glass transition for confined fluids. Physical Review E, 86(2). https://dx.doi.org/10.1103/PhysRevE.86.021502

MLA:

Lang, Simon, et al. "Mode-coupling theory of the glass transition for confined fluids." Physical Review E 86.2 (2012).

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