The eightfold way to dissipation

Abstract

We provide a complete characterization of hydrodynamic transport consistent with the second law of thermodynamics at arbitrary orders in the gradient expansion. A key ingredient in facilitating this analysis is the notion of adiabatic hydrodynamics, which enables isolation of the genuinely dissipative parts of transport. We demonstrate that most transport is adiabatic. Furthermore, of the dissipative part, only terms at the leading order in gradient expansion are constrained to be sign-definite by the second law (as has been derived before).

5 pages, 1 figure. v2: minor clarifications. v3: minor changes. title in published version differs

References in corpus (7)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Entropy Current in Conformal Hydrodynamics
• Second order hydrodynamic coefficients from kinetic theory
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Entropy Current from Partition Function: One Example

Cited by in corpus (6)

• Transport and hydrodynamics in the chiral limit
• Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids
• Magneto-thermal transport implies an incoherent Hall conductivity
• Two roads to hydrodynamic effective actions: a comparison
• Hydrodynamic effective field theories with discrete rotational symmetry
• Physical Effects of the Gravitational $\Theta$-Parameter