Local pressure for inhomogeneous fluids

TL;DR

This paper explores the concept of local pressure in inhomogeneous fluids, addressing both equilibrium and non-equilibrium states, and discusses the reconciliation of thermodynamic and hydrodynamic perspectives.

Contribution

It introduces a unified framework for defining local pressure in inhomogeneous fluids, bridging thermodynamic and mechanical approaches.

Findings

Reconciliation of thermodynamic and hydrodynamic definitions.

Discussion of unresolved issues in local pressure definitions.

Framework applicable to both equilibrium and non-equilibrium states.

Abstract

Definitions for a local pressure in an inhomogeneous fluid are considered for both equilibrium and local equilibrium states. Thermodynamic and mechanical (hydrodynamic) contexts are reconciled. Remaining problems and uncertainties are discussed.