Thermal conduction before relaxation in slowly rotating fluids

TL;DR

This paper investigates how slow rotation affects thermal conduction in fluids near a critical point, revealing that traditional perturbative methods may be unreliable due to changes in effective inertial mass.

Contribution

It demonstrates the existence of a critical point in slowly rotating fluids where inertial mass vanishes, impacting the analysis of dissipative processes.

Findings

Effective inertial mass decreases approaching the critical point

Mass vanishes at the critical point and changes sign beyond it

First order perturbative methods may be unreliable near the critical point

Abstract

For slowly rotating fluids, we establish the existence of a critical point similar to the one found for non-rotating systems. As the fluid approaches the critical point, the effective inertial mass of any fluid element decreases, vanishing at that point and changing of sign beyond it. This result implies that first order perturbative method is not always reliable to study dissipative processes ocurring before relaxation. Physical consequences that might follow from this effect are commented.