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Related papers: Holographic thermal DC response in the hydrodynami…

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We construct a new class of charged rotating black brane solutions in the presence of logarithmic nonlinear electrodynamics with complete set of the rotation parameters in arbitrary dimensions. The topology of the horizon of these rotating…

General Relativity and Quantum Cosmology · Physics 2016-06-08 A. Sheykhi , M. H. Dehghani , M. Kord Zangeneh

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…

High Energy Physics - Theory · Physics 2009-01-09 Sayantani Bhattacharyya , R. Loganayagam , Ipsita Mandal , Shiraz Minwalla , Ankit Sharma

Context: A radial temperature gradient together with an inhomogeneous radial electric field gradient is applied to a dielectric fluid confined in a vertical cylindrical annulus inducing thermal electro-hydrodynamic convection. Aims:…

We study the zero viscosity and heat conductivity limit of an initial boundary problem for the linearized Navier-Stokes-Fourier equations of a compressible viscous and heat conducting fluid in the half plane. We consider the case that the…

Analysis of PDEs · Mathematics 2014-02-07 Yutao Ding , Ning Jiang

We construct an entropy current and establish a local version of the classical second law of thermodynamics for dynamical black holes in Chern-Simons (CS) theories of gravity. We work in a chosen set of Gaussian null coordinates and assume…

High Energy Physics - Theory · Physics 2023-11-23 Ishan Deo , Prateksh Dhivakar , Nilay Kundu

The AdS/CFT correspondence relates certain strongly coupled CFTs with large effective central charge $c_\text{eff}$ to semi-classical gravitational theories with AdS asymptotics. We describe recent progress in understanding gravity duals…

High Energy Physics - Theory · Physics 2014-03-05 Donald Marolf , Mukund Rangamani , Toby Wiseman

Solutions of $(d+1)$-dimensional gravity coupled to a scalar field are obtained, which holographically realize interface and boundary CFTs. The solution utilizes a Janus-like $\mathrm{AdS}_d$ slicing ansatz and corresponds to a deformation…

High Energy Physics - Theory · Physics 2013-05-30 Michael Gutperle , Joshua Samani

We discuss the thermal conduction and convection of thermally relativistic fluids between two parallel walls under the gravitational force, both theoretically and numerically. In the theoretical discussion, we assume that the Lorentz…

Fluid Dynamics · Physics 2015-08-24 Ryosuke Yano

We study the motion of a compressible heat-conducting fluid in three dimensions interacting with a non-linear flexible shell. The fluid is described by the full Navier--Stokes--Fourier system. The shell constitutes an unknown part of the…

Analysis of PDEs · Mathematics 2021-11-18 Dominic Breit , Sebastian Schwarzacher

We explore a fruitful connection between the physics of conformal field theories (CFTs) in d-dimensional Minkowski spacetime and the extended gravitational thermodynamics of hyperbolic black holes in (d+1)-dimensional anti-de Sitter…

High Energy Physics - Theory · Physics 2018-12-19 Clifford V. Johnson , Felipe Rosso

We consider five-dimensional gravity coupled to a negative cosmological constant and a single U(1) gauge field, including a general set of four-derivative interactions. In this framework, we construct charged planar AdS black hole solutions…

High Energy Physics - Theory · Physics 2015-05-13 Robert C. Myers , Miguel F. Paulos , Aninda Sinha

We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our…

We present a careful study of accelerating black holes in anti-de Sitter spacetime, formulating the thermodynamics and resolving discrepancies that have appeared in previous investigations of the topic. We compute the dual stress-energy…

High Energy Physics - Theory · Physics 2018-11-28 Andres Anabalon , Michael Appels , Ruth Gregory , David Kubiznak , Robert B. Mann , Ali Övgün

We study the full Navier--Stokes--Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. The system is supplemented with non-homogeneous Neumann boundary…

Analysis of PDEs · Mathematics 2021-02-09 Dominic Breit , Eduard Feireisl , Martina Hofmanová

The linearized Boltzmann equation is considered to describe small spatial perturbations of the homogeneous cooling state. The corresponding macroscopic balance equations for the density, temperature, and flow velocity are derived from it as…

Statistical Mechanics · Physics 2015-06-24 J. Javier Brey , James W. Dufty , M. J. Ruiz-Montero

We investigate the Boltzmann equation, depending on the Knudsen number, in the Navier-Stokes perturbative setting on the torus. Using hypocoercivity, we derive a new proof of existence and exponential decay for solutions close to a global…

Analysis of PDEs · Mathematics 2020-08-07 Marc Briant

In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual…

High Energy Physics - Theory · Physics 2015-06-15 Xiaoning Wu , Yi Ling , Yu Tian , Chengyong Zhang

We propose an expression for the entropy density associated with the Local Causal Horizons in any diffeomorphism invariant theory of gravity. If the black-hole entropy of the theory satisfies the physical process version of the first law of…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Arif Mohd , Sudipta Sarkar

We consider inhomogeneous, periodic, holographic lattices of D=4 Einstein-Maxwell theory. We show that the DC thermoelectric conductivity matrix can be expressed analytically in terms of the horizon data of the corresponding black hole…

High Energy Physics - Theory · Physics 2015-06-23 Aristomenis Donos , Jerome P. Gauntlett

We generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of third order Lovelock gravity, by introducing the surface terms that make the action well-defined. We also introduce the boundary…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , R. B. Mann
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