Generalized Fluctuation-Dissipation Relation and Effective Temperature upon Heating a Deeply Supercooled Liquid

Abstract

We show that a generalized fluctuation-dissipation relation applies upon instantaneously increasing the temperature of a deeply supercooled liquid. This has the same two-step shape of the relation found upon cooling the liquid, but with opposite violation, indicating an effective temperature that is lower than bath temperature. We show that the effective temperature exhibits some sensible time-dependence and that it retains its connection with the partitioned phase space visited in ageing. We underline the potential relevance of our numerical results for experimental studies of the fluctuation-dissipation relation in glassy systems.

5 pages, 4 figures

References in corpus (5)

• Supercooled Liquids for Pedestrians
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• The effective temperature
• Nonlinear response and fluctuation dissipation relations
• Efficient measurement of linear susceptibilities in molecular simulations: Application to aging supercooled liquids

Cited by in corpus (8)

• Controlling mass and energy diffusion with metamaterials
• Critical active dynamics is captured by a colored-noise driven field theory
• A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements
• Low thermal fluctuations in a system heated out of equilibrium
• Non equilibrium dynamics of isolated disordered systems: the classical Hamiltonian p-spin model
• Single-parameter aging in a binary Lennard-Jones system
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Tagged active particle: probability distribution in a slowly varying external potential is determined by effective temperature obtained from the Einstein relation