Non-equilibrium mode-coupling theory for supercooled liquids and glasses

1999/11/03 by Arnulf Latz, A. Latz
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1088/0953-8984/12/29/307

arxiv created 1999/11/03 · openalex publication_date 2000/07/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A formally exact set of equations is derived for the description of non-equilibrium phenomena exhibited by classical liquids and glasses. With the help of a non-equilibrium projection operator formalism, the correlation functions and fluctuation propagators are expressed in terms of memory functions and time-dependent collective frequencies. This formally exact set of equations is approximated by applying mode-coupling approximations to the memory functions. The resulting set of equations for wave-vector-dependent correlation functions, fluctuation propagators and one-time structure factors S q ( t ) generalizes the well known mode-coupling theory of the glass transition to situations far away from equilibrium.

Citations

• Out of equilibrium dynamics in spin-glasses and other glassy systems
• On the dynamics of a spherical spin-glass in a magnetic field
• Test of mode coupling theory for a supercooled liquid of diatomic molecules. II.q-dependent orientational correlators
• Test of mode coupling theory for a supercooled liquid of diatomic molecules. I. Translational degrees of freedom