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The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at…

High Energy Physics - Theory · Physics 2012-11-06 Manuel Valle

We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We…

High Energy Physics - Theory · Physics 2014-11-21 Nabamita Banerjee , Suvankar Dutta

I consider a simple set of equations that govern the expansion of boost-invariant plasmas of massless particles. These equations describe the transition from a collisionless regime at early time to hydrodynamics at late time. Their…

Nuclear Theory · Physics 2023-09-26 Jean-Paul Blaizot

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

The properties of magnetized plasmas are always investigated under the hypothesis that the relativistic inhomogeneities stemming from the fluid sources and from the geometry itself are sufficiently small to allow for a perturbative…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-10 Massimo Giovannini , Zhara Rezaei

The gradient expansion is the fundamental organising principle underlying relativistic hydrodynamics, yet understanding its convergence properties for general nonlinear flows has posed a major challenge. We introduce a simple method to…

High Energy Physics - Theory · Physics 2022-04-06 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

Relativistic dissipative hydrodynamic equations are extended by taking into account particle number changing processes in a gluon system, which expands in one dimension boost-invariantly. Chemical equilibration is treated by a rate equation…

Nuclear Theory · Physics 2010-11-23 Andrej El , Azwinndini Muronga , Zhe Xu , Carsten Greiner

We study causal hydrodynamics (Israel-Stewart theory) of gauge theory plasmas from the AdS/CFT duality. Causal hydrodynamics requires new transport coefficients (relaxation times) and we compute them for a number of supersymmetric gauge…

High Energy Physics - Theory · Physics 2014-11-18 Makoto Natsuume , Takashi Okamura

We present a construction of a (d+2)-dimensional Ricci-flat metric corresponding to a (d+1)-dimensional relativistic fluid, representing holographically the hydrodynamic regime of a (putative) dual theory. We show how to obtain the metric…

High Energy Physics - Theory · Physics 2012-04-04 Geoffrey Compère , Paul McFadden , Kostas Skenderis , Marika Taylor

Prior attempts to construct the gravity dual of boost-invariant flow of N=4 supersymmetric Yang-Mills gauge theory plasma suffered from apparent curvature singularities in the late time expansion. This Letter shows how these problems can be…

High Energy Physics - Theory · Physics 2009-02-26 Michal P. Heller , R. Loganayagam , Michal Spalinski , Piotr Surowka , Samuel E. Vazquez

This thesis considers out-of-equilibrium dynamics of strongly interacting non-relativistic Fermi gases in several two and three dimensional geometries. The tools of second-order hydrodynamics and gauge-gravity duality will be utilized to…

Quantum Gases · Physics 2018-04-30 William Lewis

We use holographic duality to analyze the drag force on, and consequent energy loss of, a heavy quark moving through a strongly coupled conformal fluid with non-vanishing gradients in its velocity and temperature. We derive the general…

High Energy Physics - Theory · Physics 2015-06-18 Mindaugas Lekaveckas , Krishna Rajagopal

We present a new approach to discuss two dimensional chiral and non-chiral hydrodynamics with gauge and gravitational anomalies. Exact constitutive relations for the stress tensor and charge current are obtained. For the chiral theory, the…

High Energy Physics - Theory · Physics 2014-05-12 Rabin Banerjee , Shirsendu Dey , Bibhas Ranjan Majhi , Arpan Krishna Mitra

We present a new approach to describe hydrodynamics carrying non-Abelian macroscopic degrees of freedom. Based on the Kaluza-Klein compactification of a higher-dimensional neutral dissipative fluid on a group manifold, we obtain a d=4…

High Energy Physics - Theory · Physics 2017-03-08 Jose J. Fernandez-Melgarejo , Soo-Jong Rey , Piotr Surówka

It is shown that the hydrodynamic modes of a dilute granular gas of inelastic hard spheres can be identified, and calculated in the long wavelength limit. Assuming they dominate at long times, formal expressions for the Navier-Stokes…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero , P. Maynar , I. Garcia de Soria

The evolution of quantum gases, released from traps, are studied through hydrodynamics, both analytically and numerically, in one and two dimensions. In particular, we demonstrate the existence of long time self-similar solutions of the…

Quantum Gases · Physics 2025-09-04 Ritwik Mukherjee , Abhishek Dhar , Manas Kulkarni , Samriddhi Sankar Ray

We study far-from-equilibrium field theory dynamics using gauge/gravity duality applied to the Robinson-Trautman (RT) class of spacetimes and we present a number of new results. First, we assess the applicability of the hydrodynamic…

High Energy Physics - Theory · Physics 2017-05-08 Kostas Skenderis , Benjamin Withers

We compute the first-order hydrodynamic transport coefficients (shear viscosity $\eta$, bulk viscosity $\zeta$, and charge conductivity $\sigma$) for a broad class of strongly coupled, four-dimensional charged relativistic gauge theory…

High Energy Physics - Theory · Physics 2026-02-09 Alex Buchel , Sera Cremonini , Mohammad Moezzi , George Tringas

The usual derivative expansion of gravity duals of charged fluid dynamics is known to break down in the zero temperature limit. In this case, the fluid-gravity duality is not understood precisely. We explore this problem for a zero…

High Energy Physics - Theory · Physics 2012-04-03 Jae-Hyuk Oh

We present a systematic definition and analysis of the thermo-electric linear response in gauge/gravity systems focusing especially on models with massive gravity in the bulk and therefore momentum dissipation in the dual field theory. A…

High Energy Physics - Theory · Physics 2014-10-08 Andrea Amoretti , Alessandro Braggio , Nicola Maggiore , Nicodemo Magnoli , Daniele Musso