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

TL;DR

This paper investigates Kovacs-like memory effects in athermal systems using linear response theory, deriving predictions from master equations and moments, and validating them with numerical simulations.

Contribution

It introduces a theoretical framework for analyzing Kovacs-like memory effects in athermal systems within the linear response regime, applying it to models with conserved momentum.

Findings

Theoretical predictions match numerical results well.

Memory effects are characterized within the linear response regime.

The approach applies to models with conserved momentum and non-conserved energy.

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.