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We present new analytic solutions to the relativistic Boltzmann equation within the relaxation time approximation. We first obtain spherically expanding solutions which are the kinetic counterparts of the exact solutions of the…

高能物理 - 理论 · 物理学 2015-04-22 Yoshitaka Hatta , Mauricio Martinez , Bo-Wen Xiao

We use quasiparticle anisotropic hydrodynamics to study an azimuthally-symmetric boost-invariant quark-gluon plasma including the effects of both shear and bulk viscosities. In quasiparticle anisotropic hydrodynamics, a single…

核理论 · 物理学 2017-03-15 Mubarak Alqahtani , Mohammad Nopoush , Michael Strickland

Using methods of kinetic theory and liquid state theory we propose a description of the non-equilibrium behavior of molecular fluids which takes into account their microscopic structure and thermodynamic properties. The present work…

统计力学 · 物理学 2009-02-24 Umberto Marini Bettolo Marconi , Simone Melchionna

In this work, a third-order Chapman-Enskog analysis of the multiple-relaxation-time (MRT) pseudopotential lattice Boltzmann (LB) model for multiphase flow is performed for the first time. The leading terms on the interaction force,…

计算物理 · 物理学 2016-10-04 Rongzong Huang , Huiying Wu

Many features of granular media can be modeled by a fluid of hard spheres with inelastic collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations accounting for dissipation…

统计力学 · 物理学 2007-05-23 V. Garzo , J. W. Dufty

We present VAH, a (3+1)-dimensional simulation that evolves the far-from-equilibrium quark-gluon plasma produced in ultrarelativistic heavy-ion collisions with anisotropic fluid dynamics. We solve the hydrodynamic equations on an Eulerian…

核理论 · 物理学 2021-07-28 M. McNelis , D. Bazow , U. Heinz

This contribution to the focus issue covers anisotropic flow in hybrid approaches. The historical development of hybrid approaches and their impact on the interpretation of flow measurements is reviewed. The major ingredients of a hybrid…

核理论 · 物理学 2014-11-27 Hannah Petersen

We give a detailed derivation of the second-order (local) hydrodynamics for Boltzmann equation with an external force by using the renormalization group method. In this method, we solve the Boltzmann equation faithfully to extract the…

量子气体 · 物理学 2016-04-27 Yuta Kikuchi , Kyosuke Tsumura , Teiji Kunihiro

We introduce and study a new class of kinetic equations, which arise in the description of nonequilibrium macroscopic dynamics of soliton gases with elastic collisions between solitons. These equations represent nonlinear…

可精确求解与可积系统 · 物理学 2010-09-17 G. A. El , A. M. Kamchatnov , M. V. Pavlov , S. A. Zykov

Modeling transition-continuum hypersonic flows poses significant challenges due to thermodynamic nonequilibrium and the associated breakdown of the continuum assumption. Standard continuum models such as the Navier-Stokes equations are…

流体动力学 · 物理学 2025-06-18 Mikolaj Kryger , Jonathan F. MacArt

We describe an axisymmetric general relativistic code for rotational core collapse. The code evolves the coupled system of metric and fluid equations using the ADM 3+1 formalism and a conformally flat metric approximation of the Einstein…

天体物理学 · 物理学 2009-11-07 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

We compare anisotropic hydrodynamics (aHydro) results obtained using the relaxation-time approximation (RTA) and leading-order (LO) scalar \lambda \phi^4 collisional kernels. We extend previous work by explicitly enforcing number…

核理论 · 物理学 2019-01-23 D. Almaalol , M. Alqahtani , M. Strickland

In this proceedings, we review the basics of quasiparticle anisotropic hydrodynamics (aHydroQP). Thenwe present phenomenological comparisons between 3+1d quasiparticle anisotropic hydrodynamics and experimental data from RHIC experiments at…

高能物理 - 唯象学 · 物理学 2018-11-06 Mubarak Alqahtani , Dekrayat Almaalol , Michael Strickland

We extensively develop a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. We solve hydrodynamic equations for a self-gravitating fluid with pressure, given by a polytropic…

天体物理学 · 物理学 2009-11-07 Takayuki Tatekawa , Momoko Suda , Kei-ichi Maeda , Masaaki Morita , Hiroki Anzai

Recently, the vertical shear instability (VSI) has become an attractive purely hydrodynamic candidate for the anomalous angular momentum transport required for weakly ionized accretion disks. In direct three-dimensional numerical…

太阳与恒星天体物理 · 物理学 2017-03-08 Moritz H. R. Stoll , Giovanni Picogna , Wilhelm Kley

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 investigate the effect of hydrodynamic fluctuations on the rapidity decorrelations of anisotropic flow in high-energy nuclear collisions using a (3+1)-dimensional integrated dynamical model. The integrated dynamical model consists of…

核理论 · 物理学 2020-12-30 Azumi Sakai , Koichi Murase , Tetsufumi Hirano

We introduce a high-order finite element method for approximating the Vlasov-Poisson equations. This approach employs continuous Lagrange polynomials in space and explicit Runge-Kutta schemes for time discretization. To stabilize the…

数值分析 · 数学 2025-03-12 Junjie Wen , Murtazo Nazarov

A system of equations of anisotropic hydrodynamics that describes mixture of quark and gluon fluids is studied. The equations are based on the zeroth, first, and second moments of the RTA kinetic equations. Tests of this formulation are…

核理论 · 物理学 2017-08-10 Ewa Maksymiuk

Simulating inhomogeneous flows with different characteristic scales in different coordinate directions using the collide-and-stream based lattice Boltzmann methods (LBM) can be accomplished efficiently using rectangular lattice grids. We…

流体动力学 · 物理学 2021-06-02 Eman Yahia , Kannan Premnath