Anomalous heat equation in a system connected to thermal reservoirs
Statistical Mechanics
2018-10-10 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as well as in the non-stationary state where the later describes the relaxation to the steady state. In contrast to the Fourier heat equation in the diffusive case, here we show that the evolution of the temperature profile is governed by a non-local anomalous heat equation. We provide numerical verifications of our results.
Keywords
Cite
@article{arxiv.1803.06857,
title = {Anomalous heat equation in a system connected to thermal reservoirs},
author = {Priyanka and Aritra Kundu and Abhishek Dhar and Anupam Kundu},
journal= {arXiv preprint arXiv:1803.06857},
year = {2018}
}
Comments
Main text: 5 pages. Supplementary: 9 page. 5 Figures