Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis

Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis

We analyze 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 cl...

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Main Authors: Carlos A. Plata, Antonio Prados
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Entropy
Subjects:
linear response
Kovacs effect
athermal system
master equation
H-functional
Online Access:https://www.mdpi.com/1099-4300/19/10/539
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spelling doaj-e37dc28fbad844bba52ba33afe97a2632020-11-24T21:54:11ZengMDPI AGEntropy1099-43002017-10-01191053910.3390/e19100539e19100539Kovacs-Like Memory Effect in Athermal Systems: Linear Response AnalysisCarlos A. Plata0Antonio Prados1Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, SpainFísica Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, SpainWe analyze 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. Furthermore, we prove that the observed non-monotonic relaxation is consistent with the monotonic decay of the non-equilibrium entropy.https://www.mdpi.com/1099-4300/19/10/539linear responseKovacs effectathermal systemmaster equationH-functional
collection DOAJ
language English
format Article
sources DOAJ
author Carlos A. Plata
Antonio Prados
spellingShingle Carlos A. Plata
Antonio Prados
Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis
Entropy
linear response
Kovacs effect
athermal system
master equation
H-functional
author_facet Carlos A. Plata
Antonio Prados
author_sort Carlos A. Plata
title Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis
title_short Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis
title_full Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis
title_fullStr Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis
title_full_unstemmed Kovacs-Like Memory Effect in Athermal Systems: Linear Response Analysis
title_sort kovacs-like memory effect in athermal systems: linear response analysis
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2017-10-01
description We analyze 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. Furthermore, we prove that the observed non-monotonic relaxation is consistent with the monotonic decay of the non-equilibrium entropy.
topic linear response
Kovacs effect
athermal system
master equation
H-functional
url https://www.mdpi.com/1099-4300/19/10/539
work_keys_str_mv AT carlosaplata kovacslikememoryeffectinathermalsystemslinearresponseanalysis
AT antonioprados kovacslikememoryeffectinathermalsystemslinearresponseanalysis
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