Hydrodynamic limit for a chain with thermal and mechanical boundary forces
Probability
2024-06-10 v2 Mathematical Physics
math.MP
Abstract
We prove the hydrodynamic limit for a one dimensional harmonic chain with a random flip of the momentum sign. The system is open and subject to two thermostats at the boundaries and to an external tension at one of the endpoints. Under a diffusive scaling of space-time, we prove that the empirical profiles of the two locally conserved quantities, the volume stretch and the energy, converge to the solution of a non-linear diffusive system of conservative partial differential equations.
Keywords
Cite
@article{arxiv.2004.08623,
title = {Hydrodynamic limit for a chain with thermal and mechanical boundary forces},
author = {Tomasz Komorowski and Stefano Olla and Marielle Simon},
journal= {arXiv preprint arXiv:2004.08623},
year = {2024}
}
Comments
A minor correction has been added (with respect to the published version)