Comptes Rendus
no. 5
Fourier and the science of today / Fourier et la science d'aujourd'hui
Glassy dynamics in strongly anharmonic chains of oscillators
[Dynamique vitreuse pour des chaînes d'oscillateurs fortement anharmoniques]
Wojciech De Roeck1  ; François Huveneers2
1 Instituut Theoretische Fysica, KU Leuven, 3001 Leuven, Belgium
2 Ceremade, UMR CNRS 7534, Université Paris-Dauphine, PSL Research University, 75775 Paris cedex 16, France
Comptes Rendus. Physique, Volume 20 (2019) no. 5, pp. 419-428.

On propose un état de l'art sur les mécanismes de transport dans les chaînes d'oscillateurs fortement anharmoniques, proches de la limite atomique où tous les oscillateurs sont découplés. Dans ce régime, le mouvement de la plupart des oscillateurs reste pratiquement intégrable, c'est-à-dire quasi périodique, sur des échelles de temps très longues, alors que la dynamique est chaotique en quelques rares endroits, qui bougent très lentement et conduisent à une très lente redistribution de l'énergie à travers le système. Le matériau acquiert plusieurs caractéristiques propres aux verres : intermittence, encombrement, et une réduction drastique de la mobilité en fonction des paramètres thermodynamiques. On considère principalement des systèmes classiques, mais également certains systèmes quantiques. On analyse aussi le lien avec des systèmes désordonnés, dont la physique est similaire dans une large mesure.

We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most oscillators remains close to integrable, i.e. quasi-periodic, on very long time scales, while a few chaotic spots move very slowly and redistribute the energy across the system. The material acquires several characteristic properties of dynamical glasses: intermittency, jamming, and a drastic reduction of the mobility as a function of the thermodynamical parameters. We consider both classical and quantum systems, though with more emphasis on the former, and we discuss also the connections with quenched disordered systems, which display a similar physics to a large extent.

Publié le :
DOI : 10.1016/j.crhy.2019.08.007
Keywords: Glass, Thermal conductivity, Transport, Chaos, Localization
Mot clés : Verre, Conductivité thermique, Transport, Chaos, Localisation
Wojciech De Roeck 1 ; François Huveneers 2

1 Instituut Theoretische Fysica, KU Leuven, 3001 Leuven, Belgium
2 Ceremade, UMR CNRS 7534, Université Paris-Dauphine, PSL Research University, 75775 Paris cedex 16, France 
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Wojciech De Roeck; François Huveneers. Glassy dynamics in strongly anharmonic chains of oscillators. Comptes Rendus. Physique, Volume 20 (2019) no. 5, pp. 419-428. doi : 10.1016/j.crhy.2019.08.007. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2019.08.007/

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