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We compute constitutive relations for a charged $(2+1)$ dimensional Schr\"odinger fluid up to first order in derivative expansion, using holographic techniques. Starting with a locally boosted, asymptotically $AdS$, $4+1$ dimensional…

高能物理 - 理论 · 物理学 2018-05-23 Suvankar Dutta , Hare Krishna

We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity. It is shown that the isentropic flow of the fluid is equivalent to a radial component of…

高能物理 - 理论 · 物理学 2012-08-06 Rong-Gen Cai , Li Li , Zhang-Yu Nie , Yun-Long Zhang

We show that the recently constructed holographic duals of conformal non-relativistic theories behave hydrodynamically at long distances, and construct the gravitational dual of fluid flows in a long-wavelength approximation. We compute the…

高能物理 - 理论 · 物理学 2009-02-02 Mukund Rangamani , Simon F. Ross , D. T. Son , Ethan G. Thompson

We use non-Abelian T-duality to construct new N=1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS_5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG…

高能物理 - 理论 · 物理学 2016-01-27 Niall T. Macpherson , Carlos Nunez , Daniel C. Thompson , S. Zacarias

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…

高能物理 - 理论 · 物理学 2012-04-04 Geoffrey Compère , Paul McFadden , Kostas Skenderis , Marika Taylor

We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic…

高能物理 - 理论 · 物理学 2015-02-03 Nabamita Banerjee , Suvankar Dutta , Akash Jain , Dibakar Roychowdhury

We generalize recent work to construct a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically locally AdS_{d+1} long wavelength…

高能物理 - 理论 · 物理学 2009-01-09 Sayantani Bhattacharyya , R. Loganayagam , Ipsita Mandal , Shiraz Minwalla , Ankit Sharma

We present an algorithm for systematically reconstructing a solution of the (d+2)-dimensional vacuum Einstein equations from a (d+1)-dimensional fluid, extending the non-relativistic hydrodynamic expansion of Bredberg et al in…

高能物理 - 理论 · 物理学 2012-04-04 Geoffrey Compère , Paul McFadden , Kostas Skenderis , Marika Taylor

The Rivlin-Ericksen model is one of the oldest models in fluid dynamics to describe non-Newtonian properties. The model comes with two independent transports at second order. In this paper, we study the relativistic origin of the…

高能物理 - 理论 · 物理学 2021-01-27 Suvankar Dutta , Taniya Mandal , Sanhita Parihar

We study second-order hydrodynamic transport in strongly coupled non-conformal field theories with holographic gravity duals in asymptotically anti-de Sitter space. We first derive new Kubo formulae for five second-order transport…

高能物理 - 理论 · 物理学 2017-03-28 Philipp Kleinert , Jonas Probst

We apply the 1+1+2 covariant semi-tetrad approach to describe a general static and spherically symmetric relativistic stellar object which contains two fluids with anisotropic pressure. The corresponding Tolman-Oppenheimer-Volkoff equations…

广义相对论与量子宇宙学 · 物理学 2023-01-04 Nolene F. Naidu , Sante Carloni , Peter Dunsby

We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively. To this end, we use…

高能物理 - 理论 · 物理学 2019-07-15 Andrea Campoleoni , Luca Ciambelli , Charles Marteau , P. Marios Petropoulos , Konstantinos Siampos

We consider the relativistic hydrodynamics of non-perfect fluids with the goal of determining a formulation that is suited for numerical integration in special-relativistic and general-relativistic scenarios. To this end, we review the…

广义相对论与量子宇宙学 · 物理学 2023-02-27 Michail Chabanov , Luciano Rezzolla , Dirk H. Rischke

Relativistic non-ideal fluid dynamics is formulated in 3+1 space--time dimensions. The equations governing dissipative relativistic hydrodynamics are given in terms of the time and the 3-space quantities which correspond to those familiar…

核理论 · 物理学 2008-11-26 Azwinndini Muronga

We show that the relativistic gravity theory can offer a framework to formulate the non-relativistic effective field theory in a general coordinate invariant way. We focus on the parity violating case in 2+1 dimensions which is particularly…

高能物理 - 理论 · 物理学 2015-06-17 Chaolun Wu , Shao-Feng Wu

We apply the 1+1+2 covariant approach to describe a general static and spherically symmetric relativistic stellar object which contains two interacting fluids. We then use the 1+1+2 equations to derive the corresponding…

广义相对论与量子宇宙学 · 物理学 2021-08-11 Nolene F. Naidu , Sante Carloni , Peter Dunsby

We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a…

高能物理 - 理论 · 物理学 2015-06-17 T. Ashok

We construct the non-relativistic parity-violating hydrodynamic description of a two-dimensional dissipative, normal fluid in presence of small U(1) background fields and vorticity. This is achieved by taking the non-relativistic limit of…

介观与纳米尺度物理 · 物理学 2014-04-02 Matthias Kaminski , Sergej Moroz

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the…

核理论 · 物理学 2014-08-06 Amaresh Jaiswal

We consider in the framework of the fluid/gravity correspondence the dynamics of hypersurfaces located in the holographic radial direction at r = r_0. We prove that these hypersurfaces evolve, to all orders in the derivative expansion and…

高能物理 - 理论 · 物理学 2013-05-29 Christopher Eling , Yaron Oz
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