The Nonequilibrium Self-Consistent Generalized Langevin Equation Theory of Glasses and Gels

The nonequilibrium self-consistent generalized Langevin equation theory of irreversible processes in liquids is a first-principles approach that allows for the derivation of general equations that describe the out-of-equilibrium and nonstationary relaxation of a liquid after a sudden quench or compression into an amorphous state. Proposed in 2010, the theory has since been systematically applied to describe a wide variety of model systems, with predictions rigorously and successfully validated against both experimental and simulated results. In this work, we briefly review the progress of this theoretical framework over the past 15 years, focusing on its applications to the description of the structural, dynamical, and rheological behavior of model glass- and gel-forming systems.