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In Moln\'ar et al. [Phys. Rev. D 93, 114025 (2016)] the equations of anisotropic dissipative fluid dynamics were obtained from the moments of the Boltzmann equation based on an expansion around an arbitrary anisotropic single-particle…

核理论 · 物理学 2016-12-07 Etele Molnár , Harri Niemi , Dirk H. Rischke

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…

核理论 · 物理学 2016-06-29 E. Molnar , H. Niemi , D. H. Rischke

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

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

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 generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for non-zero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution…

核理论 · 物理学 2015-03-26 Dennis Bazow , Ulrich W. Heinz , Mauricio Martinez

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

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

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

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

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

核理论 · 物理学 2015-07-29 Leonardo Tinti

Lattice Boltzmann methods are usually derived under the assumption of isotropy. In this work, we present a derivation of a Lattice Boltzmann method for anisotropic fluid flow. Starting from an anisotropic equilibrium distribution, we show a…

流体动力学 · 物理学 2026-05-27 Benjamin Kellers , Julius Weinmiller , Arnulf Latz , Timo Danner

The introduced earlier projection method for boost-invariant and cylindrically symmetric systems is used to introduce a new formulation of anisotropic hydrodynamics that allows for three substantially different values of pressure acting…

核理论 · 物理学 2014-03-19 Leonardo Tinti , Wojciech Florkowski

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 introduce an improved form for the anisotropic hydrodynamics distribution function which explicitly takes into account the free-streaming and equilibrating contributions separately. We demonstrate that with this improvement one can…

高能物理 - 唯象学 · 物理学 2021-01-04 Huda Alalawi , Michael Strickland

In this work we describe the dynamics of a highly anisotropic system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion (Gubser flow) for arbitrary shear viscosity to entropy density ratio. We derive the…

核理论 · 物理学 2018-03-14 M. Martinez , M. McNelis , U. Heinz

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

In this paper, we study all transport coefficients of second-order dissipative fluid dynamics derived by V. E. Ambrus et al. [Phys. Rev. D 106, 076005 (2022)] from the relativistic Boltzmann equation in the relaxation-time approximation for…

核理论 · 物理学 2024-04-30 Victor Ambrus , Etele Molnár , Dirk H. Rischke

We study the evolution of hydrodynamic and non-hydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and Gubser flows. The hydrodynamic results are…

核理论 · 物理学 2018-06-20 Chandrodoy Chattopadhyay , Ulrich Heinz , Subrata Pal , Gojko Vujanovic

In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional 14-moment approximation is that we will not…

核理论 · 物理学 2015-06-04 G. S. Denicol , H. Niemi , E. Molnar , D. H. Rischke
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