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Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the Navier-Stokes equations follow from the…

High Energy Physics - Theory · Physics 2017-10-06 Sašo Grozdanov , Nikolaos Kaplis

We derive a set of nontrivial relations between second-order transport coefficients which follow from the second law of thermodynamics upon considering a regime close to uniform rotation of the fluid. We demonstrate that extension of…

High Energy Physics - Theory · Physics 2021-08-25 Shiyong Li , Mikhail A. Stephanov , Ho-Ung Yee

We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order corrections. By matching to the AdS/CFT…

High Energy Physics - Theory · Physics 2008-11-26 R. Baier , P. Romatschke , D. T. Son , A. O. Starinets , M. A. Stephanov

In this work, we perform a phenomenological derivation of the first- and second-order relativistic hydrodynamics of dissipative fluids. To set the stage, we start with a review of the ideal relativistic hydrodynamics from energy-momentum…

Nuclear Theory · Physics 2023-03-16 Arus Harutyunyan , Armen Sedrakian

Starting from our previous work where we have obtained a system of coupled integro-differential equations for acoustic sound waves and phonon density fluctuations in 2D crystals, we derive here the corresponding hydrodynamic equations and…

Statistical Mechanics · Physics 2019-04-15 Pablo Scuracchio , Karl H. Michel , Francois M. Peeters

Using the AdS/CFT correspondence, we calculate the transport coefficients of a strongly interacting system with a non-abelian SU(2) global symmetry near a second order phase transition. From the behavior of the poles in the Green's…

High Energy Physics - Theory · Physics 2014-11-18 Christopher P. Herzog , Silviu S. Pufu

We summarize the main lessons for causal hydrodynamics/second order hydrodynamics/Israel-Stewart theory from string theory.

Nuclear Theory · Physics 2009-01-14 Makoto Natsuume

A stochastic second-order wave model is applied to assess the statistical properties of wave orbital velocity in random sea states below the water surface. Directional spreading effects as well as the dependency of the water depth are…

We calculate all transport coefficients of second order transient hydrodynamics in two effective kinetic theory models: a hadron-resonance gas and a quasiparticle model with thermal masses tuned to reproduce QCD thermodynamics. We compare…

Nuclear Theory · Physics 2024-09-09 Gabriel S. Rocha , Gabriel S. Denicol

We compare 2->2 covariant transport theory and causal Israel-Stewart hydrodynamics in 2+1D longitudinally boost invariant geometry with RHIC-like initial conditions and a conformal e = 3p equation of state. The pressure evolution in the…

Nuclear Theory · Physics 2008-11-26 Denes Molnar , Pasi Huovinen

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic ''matter+radiation'' fluids with grey absorption opacities. This is done by solving radiation hydrodynamics perturbatively in the…

High Energy Astrophysical Phenomena · Physics 2025-01-22 Lorenzo Gavassino

We present a dissipative hydrodynamic theory of "s-wave dipole superfluids" that arise in phases of translation-invariant and dipole-symmetric models in which the U(1) symmetry is spontaneously broken. The hydrodynamic description is subtle…

High Energy Physics - Theory · Physics 2024-01-30 Akash Jain , Kristan Jensen , Ruochuan Liu , Eric Mefford

We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function…

Nuclear Theory · Physics 2014-11-26 Dennis Bazow , Ulrich W. Heinz , Michael Strickland

We compute second order transport coefficients of the dilute Fermi gas at unitarity. The calculation is based on kinetic theory and the Boltzmann equation at second order in the Knudsen expansion. The second order transport coefficients…

Quantum Gases · Physics 2014-11-05 Thomas Schaefer

We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density.…

High Energy Physics - Theory · Physics 2020-01-08 Martin Ammon , Matteo Baggioli , Seán Gray , Sebastian Grieninger

In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of…

High Energy Physics - Theory · Physics 2011-02-28 Ya-Peng Hu , Huai-Fan Li , Zhang-Yu Nie

We compute the dispersion relations for scalar, vector and tensor modes of a viscous relativistic fluid, linearized around an equilibrium solution, for a divergence type theory (which, in the linearized theory, includes Israel-Stewart and…

High Energy Physics - Phenomenology · Physics 2021-11-17 Guillermo Perna , Esteban Calzetta

We investigate coefficients in the Israel-Stewart's causal hydrodynamics and discuss the way to calculate them with a microscopic theory. Based on the hadro-molecular simulation based on an event generator URASiMA, we evaluate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shin Muroya

We utilize the fluid-gravity duality to investigate the large order behavior of hydrodynamic gradient expansion of the dynamics of a gauge theory plasma system. This corresponds to the inclusion of dissipative terms and transport…

High Energy Physics - Theory · Physics 2013-05-27 Michal P. Heller , Romuald A. Janik , Przemyslaw Witaszczyk