Onsager Relations and Hydrodynamic Balance Equations in 2D Quantum Wells
M.W. Wu, H.L. Cui, W. Sun, and S.Y. Wu

TL;DR
This paper explores the role of heat flux in 2D quantum wells' hydrodynamic equations, establishing Onsager relations at high density where electron interactions are strong.
Contribution
It clarifies the heat flux's role and demonstrates Onsager relations within 2D hydrodynamic balance equations at high electron densities.
Findings
Onsager relation holds at high density in 2D quantum wells.
Heat flux is crucial in hydrodynamic balance equations.
Strong electron-electron interactions are necessary for validity.
Abstract
In this letter we clarify the role of heat flux in the hydrodynamic balance equations in 2D quantum wells, facilitating the formulation of an Onsager relation within the framework of this theory. We find that the Onsager relation is satisfied within the framework of the 2D hydrodynamic balance equation transport theory at sufficiently high density. The condition of high density is consonant with the requirement of strong electron-electron interactions for the validity of our balance equation formulation.
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