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A microscopic view on the Fourier law

Analysis of PDEs 2019-12-10 v1 Mathematical Physics math.MP

Abstract

The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the microscopic models using the fundamental laws of mechanics.

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Cite

@article{arxiv.1912.03947,
  title  = {A microscopic view on the Fourier law},
  author = {Thierry Bodineau and Isabelle Gallagher and Laure Saint-Raymond},
  journal= {arXiv preprint arXiv:1912.03947},
  year   = {2019}
}