Order parameter for non-equilibrium dissipation and ideal glass

Glass materials, as quintessential non-equilibrium systems, exhibit properties such as energy dissipation that are highly sensitive to their preparation histories. A key challenge has been identifying a unified order parameter to rationalize these properties. Here, we demonstrate that a configurational distance metric can effectively collapse energy dissipation data across diverse preparation histories and testing protocols, including varying cooling rates, aging processes, probing times, and the amplitudes of mechanical excitation, as long as the temperature remains above the kinetic ideal glass transition temperature (where the extrapolated structural relaxation time diverges). Our results provide a unified description of the non-equilibrium dissipation and suggest that the putative concept of the kinetic ideal glass transition is imprinted in material characteristics.