English

Fourier's law based on microscopic dynamics

Statistical Mechanics 2019-09-24 v1

Abstract

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 of 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.

Keywords

Cite

@article{arxiv.1909.09835,
  title  = {Fourier's law based on microscopic dynamics},
  author = {Abhishek Dhar and Herbert Spohn},
  journal= {arXiv preprint arXiv:1909.09835},
  year   = {2019}
}

Comments

15 pages, 6 figures

R2 v1 2026-06-23T11:22:12.050Z