Non-equilibrium steady state in the hydro regime

Abstract

We study the existence and properties of the non-equilibrium steady state which arises by putting two copies of systems at different temperatures into a thermal contact. We solve the problem for the relativistic systems that are described by the energy-momentum of a perfect hydro with general equation of state (EOS). In particular, we examine several simple examples: a hydro with a linear EOS, a holographic CFT perturbed by a relevant operator and a barotropic fluid, i.e., P = P(E). Our studies suggest that the formation of steady state is a universal result of the hydro regime regardless of the kind of fluid.

1+17 pages

References in corpus (3)

• The QCD equation of state with dynamical quarks
• A hydrodynamic approach to non-equilibrium conformal field theories
• Cauchy conformal fields in dimensions d>2

Cited by in corpus (12)

• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Dynamics of hard rods with initial domain wall state
• Fluctuations in ballistic transport from Euler hydrodynamics
• Transport fluctuations in integrable models out of equilibrium
• The holographic dual of a Riemann problem in a large number of dimensions
• Shock waves, rarefaction waves and non-equilibrium steady states in quantum critical systems
• Relativistic Hydrodynamics and Non-Equilibrium Steady States
• Steady States of Holographic Interfaces
• Non-equilibrium steady state formation in 3+1 dimensions
• Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
• Lifshitz hydrodynamics at generic $z$ from a moving black brane