Linear dynamical stability and the laws of thermodynamics

TL;DR

This paper demonstrates that the linear dynamical stability of interacting hydrodynamic systems is fundamentally connected to thermodynamic laws, applicable even with broken symmetries and magnetic fields.

Contribution

It establishes a thermodynamic basis for dynamical stability in hydrodynamic systems, extending to complex scenarios with broken symmetries and magnetic influences.

Findings

Stability follows from thermodynamic laws.

Applicable to systems with broken symmetries.

Valid in presence of magnetic fields.

Abstract

We show that the dynamical stability under linear perturbations of interacting systems in the hydrodynamic regime follows from the first and the second laws of thermodynamics. Our argument extends to systems with spontaneously or softly broken symmetries and in the presence of magnetic fields.