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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

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

An alternative method is suggested for the description of the velocity and pressure fields in an unbounded incompressible viscous fluid induced by an arbitrary number of spheres moving and rotating in it. Within the framework of this…

Fluid Dynamics · Physics 2007-05-23 P. P. J. M. Schram , A. S. Usenko , I. P. Yakimenko

In this work, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motion of second-order dissipative relativistic…

Nuclear Theory · Physics 2021-04-26 Shuzhe Shi , Charles Gale , Sangyong Jeon

Second-order dissipative hydrodynamic equations for each component of a multi-component system are derived using the entropy principle. The shear viscosity of the whole system, appearing in the equation summed-up over all components, is…

High Energy Physics - Phenomenology · Physics 2011-03-24 Andrej El , Ioannis Bouras , Francesco Lauciello , Zhe Xu , Carsten Greiner

We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases,…

Plasma Physics · Physics 2025-01-29 Etele Molnár , Dirk H. Rischke

Explicit equations are given for describing the space-time evolution of non-ideal (viscous) relativistic fluids undergoing boost-invariant longitudinal and arbitrary transverse expansion. The equations are derived from the second-order…

Nuclear Theory · Physics 2008-11-26 Ulrich W. Heinz , Huichao Song , Asis K. Chaudhuri

We derive relativistic second-order dissipative fluid-dynamical equations of motion for massive spin-1/2 particles from kinetic theory using the method of moments. Besides the usual conservation laws for charge, energy, and momentum, such a…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk Rischke

We use the real-time finite-temperature AdS/CFT correspondence to compute the effect of general R^2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The R^2 terms in AdS_5 are determined…

High Energy Physics - Theory · Physics 2009-01-27 Yevgeny Kats , Pavel Petrov

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Shahar Hod

Equilibrium molecular dynamics simulation and the Green-Kubo formalism were used to calculate self-diffusion coefficient, shear viscosity,and thermal conductivity for 30 different quadrupolar two-center Lennard-Jones fluids along the bubble…

Chemical Physics · Physics 2009-06-18 G. A. Fernandez , J. Vrabec , H. Hasse

We consider causal higher order theories of relativistic viscous hydrodynamics in the limit of one-dimensional boost-invariant expansion and study the associated dynamical attractor. We obtain evolution equations for the inverse Reynolds…

Nuclear Theory · Physics 2019-09-11 Sunil Jaiswal , Chandrodoy Chattopadhyay , Amaresh Jaiswal , Subrata Pal , Ulrich Heinz

This study aims to develop second-order relativistic viscous magnetohydrodynamics (MHD) derived from kinetic theory within an extended relaxation time approximation (momentum/energy dependent) for the collision kernel. The investigation…

High Energy Physics - Phenomenology · Physics 2024-07-24 Sunny Kumar Singh , Manu Kurian , Vinod Chandra

The relativistic method of moments is one of the most successful approaches to extract second order viscous hydrodynamics from a kinetic underlying background. The equations can be systematically improved to higher order, and they have…

Nuclear Theory · Physics 2019-02-20 L Tinti , G Vujanovic , J Noronha , U Heinz

Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly…

Nuclear Theory · Physics 2018-06-06 M. McNelis , D. Bazow , U. Heinz

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…

Nuclear Theory · Physics 2014-08-06 Amaresh Jaiswal

We derive the second-order dissipative relativistic hydrodynamic equations in a generic frame with a continuous parameter from the relativistic Boltzmann equation. We present explicitly the relaxation terms in the energy and particle…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kyosuke Tsumura , Teiji Kunihiro

In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a first principle microscopic estimation, have been analyzed. A generic approach of…

Nuclear Theory · Physics 2022-06-08 Sukanya Mitra

We derive the equations of motion of relativistic, non-resistive, second-order dissipative magnetohydrodynamics from the Boltzmann equation using the method of moments. We assume the fluid to be composed of a single type of point-like…

I summarize our recent work towards finding and utilizing analytic solutions of relativistic hydrodynamic. In the first part I discuss various exact solutions of the second-order conformal hydrodynamics. In the second part I compute flow…

High Energy Physics - Phenomenology · Physics 2016-11-23 Yoshitaka Hatta
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