Memory effects in glasses: insights into the thermodynamics of out of equilibrium systems revealed by a simple model of the Kovacs effect
| العنوان: | Memory effects in glasses: insights into the thermodynamics of out of equilibrium systems revealed by a simple model of the Kovacs effect |
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| المؤلفون: | Jean-Luc Garden, Michel Peyrard |
| المساهمون: | Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, Thermique Elaboration Matériaux Applications (ThEMA), Institut Néel (NEEL), Centre National de la Recherche Scientifique (CNRS)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Université Grenoble Alpes (UGA), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA) |
| المصدر: | Physical Review E Physical Review E, American Physical Society (APS), 2020, 102 (5), pp.052122. ⟨10.1103/PhysRevE.102.052122⟩ Physical Review E, 2020, 102 (5), pp.052122. ⟨10.1103/PhysRevE.102.052122⟩ |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Physics, Statistical Mechanics (cond-mat.stat-mech), Thermodynamic equilibrium, 0103 physical sciences, Crossover, FOS: Physical sciences, Thermodynamics, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], 010306 general physics, 01 natural sciences, Condensed Matter - Statistical Mechanics, 010305 fluids & plasmas, Global variable |
| الوصف: | This paper is an extended version of an article accepted for publication in Physical Review E. Besides its fundamental interest, the model that we investigate in this article is simple enough to be used as a basis for courses or tutorials on the thermodynamics of out of equilibrium systems. It allows simple numerical calculations and analytical analysis which highlight important concepts with an easily workable example. This version includes studies of fast cooling and heating, exhibiting cases with negative heat capacity, and further discussions on the entropy which are not presented in the Physical Review E version. Glasses are interesting materials because they allow us to explore the puzzling properties of out-of-equilibrium systems. One of them is the Kovacs effect in which a glass, brought to an out-of-equilibrium state in which all its thermodynamic variables are identical to those of an equilibrium state, nevertheless evolves, showing a hump in some global variable before the thermodynamic variables come back to their starting point. We show that a simple three-state system is sufficient to study this phenomenon using numerical integrations and exact analytical calculations. It also brings some light on the concept of fictive temperature, often used to extend standard thermodynamics to the out-of-equilibrium properties of glasses. We confirm that the concept of a unique fictive temperature is not valid, an show it can be extended to make a connection with the various relaxation processes in the system. The model also brings further insights on the thermodynamics of out-of-equilibrium systems. Moreover we show that the three-state model is able to describe various effects observed in glasses such as the asymmetric relaxation to equilibrium discussed by Kovacs, or the reverse crossover measured on $B_2O_3$. Extended form of a paper accepted for publication in Phys. Rev. E |
| اللغة: | English |
| تدمد: | 2470-0045 2470-0053 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::231e933b1047974cc564458758355b6f http://arxiv.org/abs/2011.02958 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....231e933b1047974cc564458758355b6f |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 24700045 24700053 |
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