An ansatz for one dimensional steady state configurations

Abstract

We conjecture a universal formula for the heat current of a steady state connecting two asymptotic equilibrium systems in d-dimensional conformal field theories. Our proposal is verified by comparing it to exact expressions in 1+1 dimensions and linear hydrodynamics as well as numerical simulations in an Israel-Stewart like theory of second order viscous hydrodynamics.

19 pages, 4 figures; Fixed typo and added footnote

References in corpus (3)

• Nonlinear Fluid Dynamics from Gravity
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Shock waves in strongly coupled plasmas

Cited by in corpus (18)

• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• A note on generalized hydrodynamics: inhomogeneous fields and other concepts
• Dynamics of hard rods with initial domain wall state
• Non-equilibrium steady states in the Klein-Gordon theory
• 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
• Time evolution of entanglement for holographic steady state formation
• Universal spatial structure of nonequilibrium steady states
• Lower bounds for ballistic current and noise in non-equilibrium quantum steady states
• Steady States of Holographic Interfaces
• Non-equilibrium steady state in the hydro regime
• Non-equilibrium steady state formation in 3+1 dimensions
• Self-similar equilibration of strongly interacting systems from holography
• Overcoming obstacles in nonequilibrium holography
• Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
• Nonequilibrium steady states in driven holographic Weyl semi-metals