[La loi de Fourier à la base de la dynamique microscopique]
Bien que la loi de Fourier soit confirmée empiriquement pour de nombreuses substances et sur un très large domaine de paramètres thermodynamiques, une dérivation microscopique convaincante pose encore des difficultés. Avec les machines actuelles, la solution des équations de mouvement de Newton peut être obtenues avec une grande précision et pour un nombre raisonnablement grand de particules. Pour les systèmes modèles simplifiés, on parvient ainsi à une compréhension plus approfondie de la base microscopique de la loi de Fourier. Nous discutons les progrès récents ainsi que ceux qui le sont moins.
While Fourier's law is empirically confirmed for many substances and over an extremely wide range of thermodynamic parameters, a convincing microscopic derivation still poses difficulties. With current machines, the solution to Newton's equations of motion can be obtained with high precision and for a reasonably large number of particles. For simplified model systems, one thereby arrives at a deeper understanding of the microscopic basis for Fourier's law. We report on recent, and not so recent, advances.
Mot clés : Loi de Fourier, Simulation de la dynamique moléculaire, Formule de Green–Kubo
@article{CRPHYS_2019__20_5_393_0,
author = {Abhishek Dhar and Herbert Spohn},
title = {Fourier's law based on microscopic dynamics},
journal = {Comptes Rendus. Physique},
pages = {393--401},
publisher = {Elsevier},
volume = {20},
number = {5},
year = {2019},
doi = {10.1016/j.crhy.2019.08.004},
language = {en},
}
Abhishek Dhar; Herbert Spohn. Fourier's law based on microscopic dynamics. Comptes Rendus. Physique, Volume 20 (2019) no. 5, pp. 393-401. doi : 10.1016/j.crhy.2019.08.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2019.08.004/
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