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Exploring a variety of closing schemes to the infinite hierarchy of momentum moments of the exactly solvable Boltzmann equation for systems undergoing Gubser flow, we study the precision with which the resulting hydrodynamic equations…

核理论 · 物理学 2017-06-07 M. Martinez , M. McNelis , U. Heinz

We consider evolution (non-stationary) space-periodic solutions to the $n$-dimensional non-linear Navier-Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed…

偏微分方程分析 · 数学 2024-02-09 Sergey E. Mikhailov

We compute the gradient expansion for anisotropic hydrodynamics. The results are compared with the corresponding expansion of the underlying kinetic-theory model with the collision term treated in the relaxation time approximation. We find…

核理论 · 物理学 2016-12-28 Wojciech Florkowski , Radoslaw Ryblewski , Michał Spaliński

We establish the anisotropic hydrodynamics (aHydro) equations based on a boost-non-invariant longitudinally expanding system. Good consistency is found in the comparison between the aHydro results with those from the Boltzmann equation…

核理论 · 物理学 2024-10-01 Shile Chen , Shuzhe Shi

Following the recent success of anisotropic hydrodynamics we propose a new, general prescription for the hydrodynamics expansion around an anisotropic background. The anisotropic distribution is fixing exactly the complete energy-momentum…

高能物理 - 唯象学 · 物理学 2016-10-12 Leonardo Tinti

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

统计力学 · 物理学 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

We determine the energy-momentum tensor of non-perfect fluids in thermodynamic equilibrium. To this end, we derive the constitutive equations for energy density, isotropic and anisotropic pressure as well as for heat-flux from the…

广义相对论与量子宇宙学 · 物理学 2016-04-26 Konrad Schatz , Horst-Heino von Borzeszkowski , Thoralf Chrobok

We consider the time evolution of a dilute atomic Fermi gas after release from a trapping potential. A common difficulty with using fluid dynamics to study the expansion of the gas is that the theory is not applicable in the dilute corona,…

量子气体 · 物理学 2015-10-07 Marcus Bluhm , Thomas Schaefer

We present the derivation of second-order relativistic viscous hydrodynamics from an effective Boltzmann equation for a system consisting of quasiparticles of a single species. We consider temperature-dependent masses of the quasiparticles…

核理论 · 物理学 2017-03-15 Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

We apply the second-order Israel-Stewart theory of relativistic fluid- and thermodynamics to a physically realistic model of a radiative fluid in a simple anisotropic cosmological background. We investigate the asymptotic future of the…

广义相对论与量子宇宙学 · 物理学 2016-05-10 Dmitry Shogin , Per Amund Amundsen

This paper is devoted to study the Bianchi type III model in the presence of anisotropic fluid in f(R) gravity. Exponential and power-law volumetric expansions are used to obtain exact solutions of the field equations. We discuss the…

广义相对论与量子宇宙学 · 物理学 2011-02-16 M. Sharif , H. Rizwana Kausar

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…

Spherically symmetric expansionfree distributions are systematically studied. The whole set of field equations and junction conditions are presented for a general distribution of dissipative anisotropic fluid (principal stresses unequal),…

广义相对论与量子宇宙学 · 物理学 2008-11-26 L. Herrera , N. O. Santos , A. Wang

An isotropic expansion for the QGP is proposed in curved Kasner spacetime for an experimental configuration with three dimensional set of beams. The fluid of relativistic particles has no shear viscosity but the nonzero bulk viscosity…

高能物理 - 理论 · 物理学 2012-01-06 Hristu Culetu

The framework of anisotropic hydrodynamics is generalized to include finite particle masses. Two schemes are introduced and their predictions compared with exact solutions of the kinetic equation in the relaxation time approximation. The…

高能物理 - 唯象学 · 物理学 2014-05-22 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

We derive a system of moment-based dynamical equations that describe the 1+1d space-time evolution of a cylindrically symmetric massive gas undergoing boost-invariant longitudinal expansion. Extending previous work, we introduce an explicit…

高能物理 - 唯象学 · 物理学 2014-07-30 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

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…

核理论 · 物理学 2010-10-27 G. S. Denicol , T. Koide , D. H. Rischke

We analytically study coarsening dynamics in a system with nonconserved scalar order parameter, when a uniform time-independent shear flow is present. We use an anisotropic version of the Ohta-Jasnow-Kawasaki approximation to calculate the…

统计力学 · 物理学 2009-10-31 Andrea Cavagna , Alan J. Bray , Rui D. M. Travasso

General relativistic anisotropic fluid models whose fluid flow lines form a shear-free, irrotational, geodesic timelike congruence are examined. These models are of Petrov type D, and are assumed to have zero heat flux and an anisotropic…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Des J. Mc Manus , Alan A. Coley

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

核理论 · 物理学 2015-05-30 T. S. Biro , E. Molnar