Kovacs-like memory effect in athermal systems: linear response analysis

Abstract

We analyse the emergence of Kovacs-like memory effects in athermal systems within the linear response regime. This is done by starting from both the master equation for the probability distribution and the equations for the physically relevant moments. The general results are applied to a general class of models with conserved momentum and non-conserved energy. Our theoretical predictions, obtained within the first Sonine approximation, show an excellent agreement with the numerical results.

18 pages, 6 figures; submitted to the special issue of the journal Entropy on "Thermodynamics and Statistical Mechanics of Small Systems"

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• On the emergence of large and complex memory effects in nonequilibrium fluids
• Memory in Non-Monotonic Stress Response of an Athermal Disordered Solid
• Non-equilibrium memory effects: granular fluids and beyond
• Linear response in the uniformly heated granular gas
• Hydrodynamics of granular particles on a line
• Kovacs-like memory effect in a sheared colloidal glass: role of non-affine flows
• Time-delayed Newton's law of cooling with a finite-rate thermal quench: Impact on the Mpemba and Kovacs effects