Non-Equilibrium Statistical Mechanics of Glass-Forming Liquids under Continuous Cooling: Microscopic Inner Clocks, Fictive Temperatures, and Kauzmann Diagrams

The description of macroscopic properties in out-of-equilibrium amorphous solids such as gels and glasses, typically processed under finite cooling rates, remains a fundamental challenge for modern statistical physics. In this work, we employ the Non-Equilibrium Self-Consistent Generalized Langevin