Anomalous heat equation in a system connected to thermal reservoirs
Priyanka ; Kundu, Aritra ; Dhar, Abhishek ; Kundu, Anupam
arXiv, 1803.06857 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2018-03-19
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{1803.06857,
     author = {Priyanka and Kundu, Aritra and Dhar, Abhishek and Kundu, Anupam},
     title = {Anomalous heat equation in a system connected to thermal reservoirs},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1803.06857}
}

Priyanka; Kundu, Aritra; Dhar, Abhishek; Kundu, Anupam. Anomalous heat equation in a system connected to thermal reservoirs. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1803.06857/