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
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