Entropy production in one-dimensional quantum fluids

Edvin G. Idrisov; Thomas L. Schmidt

doi:10.1103/physrevb.100.165404

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arXiv · 1906.11191

Entropy production in one-dimensional quantum fluids

Edvin G. Idrisov·Thomas L. Schmidt

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Abstract

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the laws of thermodynamics for a system subject to an arbitrary perturbation varying slowly in space and time. Working in a basis of weakly interacting fermionic quasiparticles, we show that the leading contribution to the entropy production results from three-particle collisions, and we derive its scaling law at low temperatures.

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Edvin G. Idrisov, Thomas L. Schmidt. 2019-06-26. Entropy production in one-dimensional quantum fluids. https://doi.org/10.1103/physrevb.100.165404

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