From adiabatic piston to non-equilibrium hydrodynamics

TL;DR

This paper introduces the concept of momentum transfer deficiency due to dissipation (MDD) to explain the adiabatic piston mechanism and explores its implications for non-equilibrium hydrodynamics.

Contribution

It proposes the MDD concept as a new physical basis for understanding adiabatic pistons and extends its application to non-equilibrium hydrodynamic systems.

Findings

MDD explains the piston mechanism in non-equilibrium conditions

Implications of MDD for hydrodynamics are discussed

Provides a new perspective on dissipation in non-equilibrium systems

Abstract

Based on the new concept of the {\it momentum transfer deficiency due to dissipation} (MDD), the physical basis of the mechanism of ``adiabatic piston'' is explained. The implication of MDD in terms of hydrodynamics under non-equilibrium steady state also discussed.