Random Interactions
Non-local description of anomalous heat transport in one-dimension
by Dr. Aritra Kundu (SISSA, Italy)
Thursday, September 23, 2021
from
to
(Asia/Kolkata)
at Zoom
at Zoom
Description |
In macroscopic systems, the phenomenological Fourier law describes heat transport through the heat diffusion equation. Surprisingly it fails to address heat transport in some low-dimensional systems, where heat conduction can be super-diffusive. In this talk, I will try to address the question if there is an equivalent of heat equation that describes super diffusive heat transport. By exploring solvable open classical Hamiltonian systems with energy-conserving noise we derive an effective non-local fractional description of superdiffusive heat transport. The talk will be based on the following papers: Kundu et.al. J. Stat. Mech. (2019) 013205: https://doi.org/10.1088/1742-5468/aaf630 Priyanka et.al. PRE, (2018) 98(4), 042105. https://doi.org/10.1103/PhysRevE.98.042105 Review: Dhar et.al. Frontiers in Physics,(2019) 7, 159. https://doi.org/10.3389/fphy.2019.00159 |