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We derive the equations of second order dissipative fluid dynamics from the relativistic Boltzmann equation following the method of W. Israel and J. M. Stewart. We present a frame independent calculation of all first- and second-order terms…

核理论 · 物理学 2011-10-03 B. Betz , G. S. Denicol , T. Koide , E. Molnar , H. Niemi , D. H. Rischke

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the…

核理论 · 物理学 2014-08-06 Amaresh Jaiswal

Starting with the relativistic Boltzmann equation where the collision term is generalized to include nonlocal effects via gradients of the phase-space distribution function, and using Grad's 14-moment approximation for the distribution…

核理论 · 物理学 2013-05-23 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

We consider the evolution equations for the bulk viscous pressure, diffusion current and shear tensor derived within second-order relativistic dissipative hydrodynamics from kinetic theory. By matching the higher order moments directly to…

核理论 · 物理学 2022-08-17 David Wagner , Andrea Palermo , Victor E. Ambruş

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

Starting with the relativistic Boltzmann equation where the collision term was generalized to include gradients of the phase-space distribution function, we recently presented a new derivation of the equations for the relativistic…

核理论 · 物理学 2013-05-23 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

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 derive the equations of motion of relativistic, non-resistive, second-order dissipative magnetohydrodynamics from the Boltzmann equation using the method of moments. We assume the fluid to be composed of a single type of point-like…

We derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of $N_{\text{spec}}$ particle species with $N_q$ intrinsic quantum numbers (e.g. electric charge, baryon…

核理论 · 物理学 2022-08-31 Jan A. Fotakis , Etele Molnár , Harri Niemi , Carsten Greiner , Dirk H. Rischke

We derive relativistic second-order dissipative fluid-dynamical equations of motion for massive spin-1/2 particles from kinetic theory using the method of moments. Besides the usual conservation laws for charge, energy, and momentum, such a…

核理论 · 物理学 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk Rischke

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

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 derive the second-order hydrodynamic equation for reactive multi-component systems from the relativistic Boltzmann equation. In the reactive system, particles can change their species under the restriction of the imposed conservation…

高能物理 - 唯象学 · 物理学 2016-01-28 Yuta Kikuchi , Kyosuke Tsumura , Teiji Kunihiro

In the causal theory of relativistic dissipative fluid dynamics, there are conditions on the equation of state and other thermodynamic properties such as the second-order coefficients of a fluid that need to be satisfied to guarantee that…

核理论 · 物理学 2008-11-26 Azwinndini Muronga

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…

We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function…

核理论 · 物理学 2014-11-26 Dennis Bazow , Ulrich W. Heinz , Michael Strickland

In this work, we perform a phenomenological derivation of the first- and second-order relativistic hydrodynamics of dissipative fluids. To set the stage, we start with a review of the ideal relativistic hydrodynamics from energy-momentum…

核理论 · 物理学 2023-03-16 Arus Harutyunyan , Armen Sedrakian

We derive the second-order hydrodynamic equation and the microscopic formulae of the relaxation times as well as the transport coefficients systematically from the relativistic Boltzmann equation. Our derivation is based on a novel…

高能物理 - 唯象学 · 物理学 2016-02-01 Kyosuke Tsumura , Yuta Kikuchi , Teiji Kunihiro

We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases,…

等离子体物理 · 物理学 2025-01-29 Etele Molnár , Dirk H. Rischke

We present the results of deriving the Israel-Stewart equations of relativistic dissipative fluid dynamics from kinetic theory via Grad's 14-moment expansion. Working consistently to second order in the Knudsen number, these equations…

核理论 · 物理学 2010-11-11 B. Betz , D. Henkel , D. H. Rischke
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