Heat equation from a deterministic dynamics
Dynamical Systems
2026-05-19 v4
Abstract
We derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton equations perturbed by an external chaotic force acting like a magnetic field.
Keywords
Cite
@article{arxiv.2310.13338,
title = {Heat equation from a deterministic dynamics},
author = {Giovanni Canestrari and Carlangelo Liverani and Stefano Olla},
journal= {arXiv preprint arXiv:2310.13338},
year = {2026}
}
Comments
Fixes minor issues of the previous version