Viscosity and dissipative hydrodynamics from effective field theory

By S. Grozdanov, Janos Polonyi. 2013

155 citations recorded by the source corpus.

Strasbourg University, CNRS-IPHC, 23 rue du Loess, BP28 67037 Strasbourg Cedex 2, France(Dated: September 23, 2013)Using the action principle for open systems inspired by Schwinger’s Closed-Time-Path method,we derive the energy-momentum balance equation for a dissipative fluid with energy loss from aneffective Goldstone action. Near hydrodynamical equilibrium, we construct the first-order dissipativestress-energy tensor and derive the Navier-Stokesequations. Shear viscosity is shown to vanish, whilebulk viscosity and thermodynamical quantities are determined by the form of the effective action.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8c8127a9de3c0ca618ec6fd86c477d540bf383f5

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In Astronomy and Astrophysics

1. Mike Blake
2. R. Myers
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4. Hong Liu
5. S. Sachdev
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In Nuclear and High Energy Physics

1. R. Myers
2. Mike Blake
3. D. Stanford
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5. Hong Liu
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In Statistical and Nonlinear Physics

1. D. Stanford
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3. Phil Saad
4. Mike Blake
5. Hong Liu
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7. A. Starinets
8. S. Grozdanov

Citations in the corpus

• Relativistic Fluid Dynamics in and out of Equilibrium (2017, unknown): “[164, 165] (see also Refs.”
• The Effective Field Theorist's Approach to Gravitational Dynamics (2016, background): “For example, to study the gravitational self-force in the extreme mass ratio limit, in vacuum [122–125] and non-vacuum [126] spacetimes; the thermodynamics of caged black holes [127–129]; gravitational radiation in d > 4 dimensions [130–132]; the radiation-reaction force in electrodynamics [133, 134”
• A semiclassical ramp in SYK and in gravity (2018, background): “Preliminary study of this problem was in [72, 73, 74], and more recently, systematic procedures for writing higher order dissipative theories of hydrodynamics in this context have been developed, starting with [75, 76].”
• The complex life of hydrodynamic modes (2019, methodology): “We hope our results may be of interest for studies of higher-order hydrodynamics necessary for improving the precision of hydrodynamic predictions and also for justifying the construction of the effective field theory of hydrodynamics formulated as a gradient expansion [84–94].”
• A quantum hydrodynamical description for scrambling and many-body chaos (2017, methodology): “The doubled copies for CTP contour were first used in [44] to describe dissipative effects.”
• Effective field theory of dissipative fluids (2015, background): “the recent ideal fluid formulation of [36–44], a single set of σi(Xμ) is used, which was subsequently generalized to the doubled version in the closed time path formalism in an attempt to include dissipation [31, 37].”