Relativistic viscous fluid dynamics and non-equilibrium entropy

By Paul Romatschke. 2009

197 citations recorded by the source corpus.

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains the most general (causal) equations of motion for a fluid in the presence of shear and bulk viscosity, as well as the structure of the non-equilibrium entropy current. Requiring positivity of the divergence of the non-equilibrium entropy current relates some of its coefficients to those entering the equations of motion. I comment on possible applications of these results for conformal and non-conformal fluids.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/995aad740d05efe38393b6c0e378499011f98ecf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. V. Hubeny
2. M. Rangamani
3. R. Myers
4. P. Kovtun
5. Jorge E Santos
6. D. Mateos
7. Ó. J. Dias
8. Paul Romatschke

In Nuclear and High Energy Physics

1. V. Hubeny
2. M. Rangamani
3. R. Myers
4. D. Mateos
5. S. Gubser
6. P. Kovtun
7. T. Takayanagi
8. Paul Romatschke

Citations in the corpus

• Small System Collectivity in Relativistic Hadronic and Nuclear Collisions (2018, background): “Romatschke (148) extended this research to the case of non-conformal hydrodynamics, in which case there are 15 second-order terms, each with an associated transport coefficient.”
• Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “In a generic, nonconformal fluid, there are nine additional transport coefficients [92].”
• Relativistic Fluid Dynamics in and out of Equilibrium (2017, methodology): “38) differ from λ4, ξ4 in the original reference [54] because there a different expansion basis was used.”
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, background): “This condition guarantees that the stress tensor components longitudinal to the velocity give the local energy density, in the local rest frame of a fluid element [60].”
• Causality of holographic hydrodynamics (2009, background): “In general, this extension would require the introduction thirteen new transport coefficients [1].”
• Lectures on hydrodynamic fluctuations in relativistic theories (2012, background): “References [11, 12, 48, 34] classify possible second-order terms in relativistic hydrodynamics.”
• Constraints on fluid dynamics from equilibrium partition functions (2012, result): “dynamical parameters, and so reduces the number of free parameters that appear in the equations of fluid dynamics (see e.g. [1, 2], for more recent work inspired by the AdS/CFT correspondence see e.g. [3, 4, 5, 6, 7, 8, 9, 10, 11]). In three specific examples we demonstrate below that the equalities o”
• A Holographic View on Physics out of Equilibrium (2010, background): “At higher orders we get more terms; a discussion of terms allowed at second order was first undertaken in [83] in four dimensions and higher dimensional conformal fluids were discussed in [144, 140] and a nice account of non-conformal fluids can be found in [145].”