Dissipative electrically driven fluids

TL;DR

This paper investigates entropy-generating steady-state electrically driven fluids, revealing how energy and momentum relaxation relate under dissipation and showing that Onsager reciprocity implies zero incoherent conductivity, affecting observable charge conductivities.

Contribution

It introduces a theoretical framework linking dissipation, relaxation, and Onsager reciprocity in electrically driven fluids, highlighting the role of incoherent conductivity.

Findings

Energy and momentum relaxation are interconnected in dissipative steady-state flows.

Onsager reciprocity enforces zero incoherent conductivity in such fluids.

Incoherent conductivity does not contribute to observable charge conductivities.

Abstract

We consider entropy generating flows for fluids that achieve a steady state in the presence of a driving electric field. Having chosen one among the space of stationarity constraints that define such flows we show how energy and momentum relaxation are related in the presence of dissipation. Furthermore, we find that if such a fluid obeys Onsager reciprocity then the incoherent conductivity must be identically zero and consequently makes no contribution to the observable AC or DC charge conductivities.