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The Boltzmann equation is solved in the relaxation time approximation using a hierarchy of angular moments of the distribution function. Our solution is obtained for an azimuthally symmetric radially expanding boost-invariant conformal…

Nuclear Theory · Physics 2020-06-24 Ashutosh Dash , Victor Roy

Fluid-dynamical equations of motion can be derived from the Boltzmann equation in terms of an expansion around a single-particle distribution function which is in local thermodynamical equilibrium, i.e., isotropic in momentum space in the…

Nuclear Theory · Physics 2016-06-29 E. Molnar , H. Niemi , D. H. Rischke

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be considered. Backflow…

Soft Condensed Matter · Physics 2009-10-31 Colin Denniston , Enzo Orlandini , J. M. Yeomans

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

Soft Condensed Matter · Physics 2019-03-28 H. Híjar

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

We present some exact solutions of relativistic second-order hydrodynamic equations in theories with conformal symmetry. Starting from a spherically expanding solution in ideal hydrodynamics, we take into account general conformal…

High Energy Physics - Theory · Physics 2014-03-26 Yoshitaka Hatta , Jorge Noronha , Bo-Wen Xiao

We study the hydrodynamic behavior of three dimensional (3D) incompressible collections of self-propelled entities in contact with a momentum sink in a state with non-zero average velocity, hereafter called 3D easy-plane incompressible…

Soft Condensed Matter · Physics 2018-10-31 Leiming Chen , Chiu Fan Lee , John Toner

The mixture of quark and gluon fluids is studied in a one-dimensional boost-invariant setup using the set of relativistic kinetic equations treated in the relaxation time approximation. Effects of a finite quark mass, non-zero baryon number…

Nuclear Theory · Physics 2018-08-29 Ewa Maksymiuk

We set up the construction of generic (d+2)-dimensional metrics corresponding to (d+1)-dimensional fluids, representing holographically the hydrodynamic regimes of the putative dual theories. We give general seed equilibrium metrics…

High Energy Physics - Theory · Physics 2015-02-04 Natalia Pinzani-Fokeeva , Marika Taylor

Here we derive the relativistic resistive dissipative second-order magnetohydrodynamic evolution equations using the Boltzmann equation, thus extending our work from the previous paper…

Nuclear Theory · Physics 2021-09-27 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

We consider a plasma of massless particles undergoing Bjorken expansion, mimicking the matter created in ultra-relativistic heavy ion collisions. We study the transition to hydrodynamics using kinetic theory in the relaxation time…

Nuclear Theory · Physics 2021-11-24 Jean-Paul Blaizot , Li Yan

New solutions are found for the non-relativistic hydrodynamical equations. These solutions describe expanding matter with a Gaussian density profile. In the simplest case, thermal equilibrium is maintained without any interaction, the…

Nuclear Theory · Physics 2009-10-31 P. Csizmadia , T. Csorgo , B. Lukacs

In high energy collisions of heavy-ions, experimental findings of collective flow are customarily associated with the presence of a thermalized medium expanding according to the laws of hydrodynamics. Recently, the ATLAS, CMS and ALICE…

Nuclear Theory · Physics 2016-08-24 M. Habich , G. A. Miller , P. Romatschke , W. Xiang

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

Statistical Mechanics · Physics 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

The truncated Israel-Stewart theory of irreversible thermodynamics is used to describe the bulk viscous pressure and the anisotropic stress in a class of spatially homogeneous viscous fluid cosmological models. The governing system of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 R. J. van den Hoogen , A. A. Coley

Motivated by the physics of the quark-gluon plasma created in heavy-ion collision experiments, we use holography to study the regime of applicability of various theories of relativistic viscous hydrodynamics. Using the microscopic…

High Energy Physics - Theory · Physics 2022-09-23 Hans Bantilan , Yago Bea , Pau Figueras

A number of astrophysical scenarios possess and preserve an overall cylindrical symmetry also when undergoing a catastrophic and nonlinear evolution. Exploiting such a symmetry, these processes can be studied through numerical-relativity…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Thorsten Kellermann , Luca Baiotti , Bruno Giacomazzo , Luciano Rezzolla

Anisotropic particles are often encountered in different fields of soft matter and complex fluids. In this work, we present an implementation of the coupled hydrodynamics of solid ellipsoidal particles and the surrounding fluid using the…

Soft Condensed Matter · Physics 2024-06-10 Sumesh P Thampi , Kevin Stratford , Oliver Henrich

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

Nuclear Theory · Physics 2013-05-22 Amaresh Jaiswal

An investigation of interior spacetimes sourced by stationary cylindrical anisotropic fluids is presented and specialized to rigidly rotating fluids with an azimuthally directed pressure. Based on the occurence of an extra degree of freedom…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Marie-Noëlle Célérier
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