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We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom,…

核理论 · 物理学 2023-02-21 Caio V. P. de Brito , Gabriel S. Denicol

We interpret as shear viscosity the anisotropic pressure that emerges in inhomogeneous spherically symmetric spacetimes described by the Lemaitre-Tolman-Bondi (LTB) metric in a comoving frame. By assuming that local isotropic pressure and…

广义相对论与量子宇宙学 · 物理学 2008-12-24 Roberto A Sussman

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…

核理论 · 物理学 2008-11-26 Ulrich W. Heinz , Huichao Song , Asis K. Chaudhuri

We derive the equations of motion for a system undergoing boost-invariant longitudinal and azimuthally-symmetric transverse "Gubser flow" using leading-order anisotropic hydrodynamics. This is accomplished by assuming that the one-particle…

核理论 · 物理学 2015-02-05 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

We compute the temporal evolution of the pressure anisotropy and bulk pressure of a massive gas using second-order viscous hydrodynamics and anisotropic hydrodynamics. We then compare our results with an exact solution of the Boltzmann…

高能物理 - 唯象学 · 物理学 2014-10-16 Gabriel S. Denicol , Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

The full set of equations governing the structure and the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses, is written down in terms of five scalar quantities obtained from the orthogonal…

广义相对论与量子宇宙学 · 物理学 2011-07-19 L. Herrera , J. Ospino , A. Di Prisco , E. Fuenmayor , O. Troconis

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…

高能物理 - 唯象学 · 物理学 2024-07-24 Sunny Kumar Singh , Manu Kurian , Vinod Chandra

We study a one-dimensional equation arising in the multiscale modeling of some non-Newtonian fluids. At a given shear rate, the equation provides the instantaneous mesoscopic response of the fluid, allowing to compute the corresponding…

数学物理 · 物理学 2014-04-29 David Benoit , Claude Le Bris , Tony Lelièvre

The evolution equation for the shear is reobtained for a spherically symmetric anisotropic, viscous dissipative fluid distribution, which allows us to investigate conditions for the stability of the shear-free condition. The specific case…

广义相对论与量子宇宙学 · 物理学 2015-05-18 L. Herrera , A. Di Prisco , J. Ospino

We exactly solve the relaxation-time approximation Boltzmann equation for a system which is transversely homogeneous and undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solution with approximate…

核理论 · 物理学 2013-09-27 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

We discuss the leading order of anisotropic hydrodynamics expansion. It has already been shown that in the (0+1) and (1+1)-dimensional cases it is consistent with the second order viscous hydrodynamics, and it provides a striking agreement…

高能物理 - 唯象学 · 物理学 2015-05-20 Leonardo Tinti

We expand previous work on an inverse approach to Einstein Field Equations where we include fluids with energy flux and consider the vanishing of the anisotropic stress tensor. We consider the approach using warped product spacetimes of…

广义相对论与量子宇宙学 · 物理学 2011-02-01 James Richardson , Mustapha Ishak

We consider Bianchi VI spacetime, which also can be reduced to Bianchi types VI0-V-III-I. We initially consider the most general form of the energy-momentum tensor which yields anisotropic stress and heat flow. We then derive an…

广义相对论与量子宇宙学 · 物理学 2011-08-26 Ozgur Akarsu , Can B. Kilinc

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

核理论 · 物理学 2021-09-27 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

We exactly solve the one-dimensional boost-invariant Boltzmann equation in the relaxation time approximation for arbitrary shear viscosity. The results are compared with the predictions of viscous and anisotropic hydrodynamics. Studying…

核理论 · 物理学 2013-08-08 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

Some features of the Bianchi type-I universes in the presence of a fluid that wields an anisotropic equation of state (EoS) parameter are discussed in the context of general relativity. The models that exhibit de Sitter volumetric expansion…

广义相对论与量子宇宙学 · 物理学 2010-03-02 Ozgur Akarsu , Can B. Kilinc

It is well known that Kasner-type cosmologies provide a useful framework for analyzing the three-dimensional anisotropic expansion because of the simplification of the anisotropic dynamics. In this paper relativistic multi-fluid Kasner-type…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Mauricio Cataldo , Fabiola Arevalo , Patricio Mella

The full set of equations governing the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses is deployed and used to carry out a general study on the behaviour of such systems, in the context of…

广义相对论与量子宇宙学 · 物理学 2011-07-19 L. Herrera , A. Di Prisco , J. Martin , J. Ospino , N. O. Santos , O. Troconis

A new formulation of second-order viscous hydrodynamics, based on an expansion around a locally anisotropic momentum distribution, is presented. It generalizes the previously developed formalism of anisotropic hydrodynamics (aHydro) to…

核理论 · 物理学 2015-06-22 Ulrich W. Heinz , Dennis Bazow , Michael Strickland

In 2nd order causal dissipative theory, space-time evolution of QGP fluid is studied in 2+1 dimensions. Relaxation equations for shear stress tensors are solved simultaneously with the energy-momentum conservation equations. Comparison of…

核理论 · 物理学 2007-08-01 A. K. Chaudhuri