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We present the first numerical simulations of the symmetric--hyperbolic theory for conformal dissipative relativistic fluids developed in [1]. In this theory, the information of the fluid dynamics is encoded in a scalar generating function…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Pablo Montes , Marcelo E. Rubio , Oscar A. Reula

We present a microscopic derivation of the nonlinear fluctuating hydrodynamic equation for the homogeneous crystalline solid from the Hamiltonian description of a many-particle system. We propose a microscopic expression of the displacement…

Statistical Mechanics · Physics 2024-03-21 Ken Hiura

We consider the holographic hydrodynamics of black holes in generally covariant gravity theories with a preferred time foliation. Gravitational perturbations in these theories have spin two and spin zero helicity modes with generically…

High Energy Physics - Theory · Physics 2015-06-22 Christopher Eling , Yaron Oz

We study time-dependent perturbations to a family of five-dimensional black hole spacetimes constructed as a holographic model of the QCD phase diagram. We use the results to calculate two transport coefficients, the bulk viscosity and…

High Energy Physics - Theory · Physics 2013-05-29 Oliver DeWolfe , Steven S. Gubser , Christopher Rosen

The evolution of an homogeneous and isotropic dissipative fluid is analyzed using dynamical systems techniques. The dissipation is driven by bulk viscous pressure and the truncated Israel-Stewart theory is used. Although almost all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Di Prisco , L. Herrera , J. Ibanez

We study universal spatial features of certain non-equilibrium steady states corresponding to flows of strongly correlated fluids over obstacles. This allows us to predict universal spatial features of far-from-equilibrium systems, which in…

High Energy Physics - Theory · Physics 2018-10-31 Igor Novak , Julian Sonner , Benjamin Withers

We re-derive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast to the derivation of Israel and Stewart, which considered the second moment of the Boltzmann equation to obtain equations of…

Nuclear Theory · Physics 2010-10-27 G. S. Denicol , T. Koide , D. H. Rischke

We study energy-momentum and charge transport in strongly interacting holographic quantum field theories in an anisotropic thermal state by contrasting three different holographic methods to compute transport coefficients: standard…

High Energy Physics - Theory · Physics 2024-08-06 Tuna Demircik , Domingo Gallegos , Umut Gürsoy , Matti Järvinen , Ruben Lier

A new formula to calculate the transport coefficients of the causal dissipative hydrodynamics is derived by using the projection operator method (Mori-Zwanzig formalism) in [T. Koide, Phys. Rev. E75, 060103(R) (2007)]. This is an extension…

Statistical Mechanics · Physics 2009-02-12 T. Koide , T. Kodama

This paper examines the holographic computation of bulk and shear viscosity ratios in strongly coupled thermal plasmas using the AdS/BCFT correspondence within Horndeski gravity. We demonstrate that this framework leads to non-zero…

High Energy Physics - Theory · Physics 2024-09-19 Fabiano F. Santos

Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients,…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Xu-Guang Huang , Armen Sedrakian , Dirk H. Rischke

Given a fluid equation with reduced Lagrangian $l$ which is a functional of velocity $\MM{u}$ and advected density $D$ given in Eulerian coordinates, we give a general method for semidiscretising the equations to give a canonical…

Numerical Analysis · Mathematics 2007-05-23 Colin Cotter

We introduce a convenient set of analytical tools (the Gaussian formalism) and diagrams (symplectic circuits) to analyze multi-mode scattering events in analog gravity, such as pair-creation a l\'a Hawking by black hole and white hole…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Anthony J. Brady , Ivan Agullo , Dimitrios Kranas

We investigate the relations between black hole thermodynamics and holographic transport coefficients in this paper. The formulae for DC conductivity and diffusion coefficient are verified for electrically single-charged black holes. We…

High Energy Physics - Theory · Physics 2014-08-25 Xian-Hui Ge , Hong-Qiang Leng , Li Qing Fang , Guo-Hong Yang

We provide a hydrodynamical description of a holographic theory with broken translation invariance. We use the fluid/gravity correspondence to systematically obtain both the constitutive relations for the currents and the Ward identity for…

High Energy Physics - Theory · Physics 2015-09-11 Mike Blake

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

High Energy Physics - Theory · Physics 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

Driving a system out of equilibrium enriches the paradigm of spontaneous symmetry breaking, which could then take place not only in space but also in time. The interplay between temporal and spatial symmetries, as well as symmetries from…

High Energy Physics - Theory · Physics 2023-11-29 Peng Yang , Matteo Baggioli , Zi Cai , Yu Tian , Hongbao Zhang

We investigate a holographic model of superfluid flows with an external repulsive potential. When the strength of the potential is sufficiently weak, we analytically construct two steady superfluid flow solutions. As the strength of the…

High Energy Physics - Theory · Physics 2016-08-31 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We present the general properties of dynamic dissipative fluid distribution endowed with hyperbolical symmetry. All the equations required for its analysis are exhibited and used to contrast the behavior of the system with the spherically…

General Relativity and Quantum Cosmology · Physics 2022-10-05 L. Herrera

We present a global approach of non-dissipative physics. Based on symplectic mechanics this technique allows us to obtain the solution of a very large class of problems in terms of a Taylor expand. We apply this method to the problem of…

Astrophysics · Physics 2009-10-28 J. Perez , M. Lachieze-Rey