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
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:
Priyanka et.al. PRE, (2018)  98(4), 042105.
Review: Dhar et.al. Frontiers in Physics,(2019) 7, 159.