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We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic ''matter+radiation'' fluids with grey absorption opacities. This is done by solving radiation hydrodynamics perturbatively in the…

High Energy Astrophysical Phenomena · Physics 2025-01-22 Lorenzo Gavassino

We develop a method for the determination of thecdynamics of dissipative quantum systems in the limit of large number of quanta N, based on the 1/N-expansion of Heidmann et al. [ Opt. Commun. 54, 189 (1985) ] and the quantum-classical…

Quantum Physics · Physics 2009-10-31 Kirill N. Alekseev , Jan Perina

In this paper we consider the problem of obtaining a general port-Hamiltonian formulation of Newtonian fluids. We propose the port-Hamiltonian models to describe the energy flux of rotational three-dimensional isentropic and non-isentropic…

Fluid Dynamics · Physics 2020-03-26 Luis A. Mora , Yann Le Gorrec , Denis Matignon , Hector Ramirez , Juan Yuz

The lack of formulation of macroscopic equations for irreversible dynamics of viscous heat-conducting media compatible with the causality principle of Einstein's Special Relativity and the Euler-Lagrange structure of General Relativity is a…

General Relativity and Quantum Cosmology · Physics 2020-03-31 Evgeniy Romenski , Ilya Peshkov , Michael Dumbser , and Francesco Fambri

Anisotropic hydrodynamics is a non-perturbative reorganization of relativistic hydrodynamics that takes into account the large momentum-space anisotropies generated in ultrarelativistic heavy-ion collisions. As a result, it allows one to…

Nuclear Theory · Physics 2015-01-06 Michael Strickland

We use quasiparticle anisotropic hydrodynamics to study the non-conformal and non-extensive dynamics of a system undergoing boost-invariant Bjorken expansion. To introduce nonextensivity, we use an underlying Tsallis distribution with a…

Nuclear Theory · Physics 2022-11-23 Mubarak Alqahtani , Nasser Demir , Michael Strickland

We derive the equations of motion of relativistic magnetohydrodynamics, as well as microscopic expressions for all of its transport coefficients, from the Boltzmann equation using the method of moments. In contrast to reference Phys. Rev. D…

Nuclear Theory · Physics 2024-05-24 Khwahish Kushwah , Gabriel S. Denicol

We derive the fluctuating hydrodynamic equation for the number and momentum densities exactly from the underdamped Langevin equation. This derivation is an extension of the Kawasaki-Dean formula in underdamped case. The steady state…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Akira Yoshimori

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…

Nuclear Theory · Physics 2010-10-27 G. S. Denicol , T. Koide , D. H. Rischke

We introduce a new framework of highly-anisotropic hydrodynamics that includes dissipation effects. Dissipation is defined by the form of the entropy source that depends on the pressure anisotropy and vanishes for the isotropic fluid. With…

Nuclear Theory · Physics 2011-04-04 Wojciech Florkowski , Radoslaw Ryblewski

Relativistic hydrodynamics successfully provides an effective field theory description for the low energy regime of many out-of-equilibrium systems. On the other hand, in this paper we proof that any stand-alone hydrodynamic EFT is…

High Energy Physics - Theory · Physics 2026-05-21 Robbe Brants

We derive and investigate several hydrodynamic formalisms that emerge from a system of classical, ultra-relativistic scalar particles self-interacting via a quartic potential. The specific form of the total cross-section enables the…

Nuclear Theory · Physics 2023-08-23 Gabriel S. Rocha , Caio V. P. de Brito , Gabriel S. Denicol

We derive relativistic viscous hydrodynamic equations invoking the generalized second law of thermodynamics for two different forms of the non-equilibrium single-particle distribution function. We find that the relaxation times in these two…

Nuclear Theory · Physics 2013-10-17 Rajeev S. Bhalerao , Amaresh Jaiswal , Subrata Pal , V. Sreekanth

A systematic expansion of the Boltzmann equation for the diffusion of dilute tracers, in powers of the Knudsen number, carried out to next-to-leading order (NLO), gives the relativistic causal diffusion equation (Kelly's equation). Using…

Nuclear Theory · Physics 2007-09-19 Sourendu Gupta

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge…

Nuclear Theory · Physics 2022-12-06 Duan She , Anping Huang , Defu Hou , Jinfeng Liao

We use covariant methods to analyse the nonlinear evolution of self-gravitating, non-relativistic media. The formalism is first applied to imperfect fluids, aiming at the kinematic effects of viscosity, before extended to inhomogeneous…

Astrophysics · Physics 2009-11-13 N. K. Spyrou , C. G. Tsagas

In this article a correspondence has been established between the out of equilibrium system dissipation and the thermodynamic field redefinition of the macroscopic variables through the momentum dependent relaxation time approximation…

Nuclear Theory · Physics 2022-01-19 Sukanya Mitra

Relativistic hydrodynamics has been quite successful in explaining the collective behaviour of the QCD matter produced in high energy heavy-ion collisions at RHIC and LHC. We briefly review the latest developments in the hydrodynamical…

Nuclear Theory · Physics 2016-10-28 Amaresh Jaiswal , Victor Roy

The {\em hydrodynamic} approach to a continuum mechanical description of granular behavior is reviewed and elucidated. By considering energy and momentum conservation simultaneously, the general formalism of {\em hydrodynamics} provides a…

Soft Condensed Matter · Physics 2012-06-14 Yimin Jiang , Mario Liu

In this work, the equations of dissipative relativistic spin hydrodynamics based on quantum kinetic theory are derived. Employing the inverse-Reynolds dominance (IReD) approach, a resummation scheme based on a power counting in Knudsen and…

Nuclear Theory · Physics 2026-02-24 David Wagner