# Entropy production in one-dimensional quantum fluids

## TL;DR

This paper investigates entropy production in a driven one-dimensional quantum fluid using nonlinear Luttinger liquid theory and quantum kinetic equations, highlighting the role of three-particle collisions at low temperatures.

## Contribution

It introduces a thermodynamically consistent entropy production framework for 1D quantum fluids under slow perturbations, emphasizing three-particle collision effects.

## Key findings

- Entropy production derived for driven 1D quantum fluids.
- Leading contribution from three-particle collisions.
- Scaling law of entropy production at low temperatures.

## 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.