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New mathematical and numerical results are given for the coupling of the temperature equation of a fluid with Radiative Transfer: existence and uniqueness and a convergent monotone numerical scheme. The technique is shown to be feasible for…

Numerical Analysis · Mathematics 2021-07-30 F. Golse , O. Pironneau

We present a new general formalism for introducing thermal fluctuations in relativistic hydrodynamics, which incorporates recent developments on the causality and stability of relativistic hydrodynamic theories. Our approach is based on the…

Nuclear Theory · Physics 2023-12-13 Nicki Mullins , Mauricio Hippert , Lorenzo Gavassino , Jorge Noronha

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

The success of spectroscopy to characterise equilibrium fluids, for example the heat capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning…

Soft Condensed Matter · Physics 2022-07-22 Debarghya Banerjee , Anton Souslov , Vincenzo Vitelli

We study causal viscous hydrodynamics in the context of central relativistic heavy-ion collisions and provide details of a straightforward numerical algorithm to solve the hydrodynamic equations. It is shown that correlation functions of…

Nuclear Theory · Physics 2008-11-26 Rudolf Baier , Paul Romatschke

We derive equations of motion for dissipative spin hydrodynamics from kinetic theory up to first order in a gradient expansion. Choosing a specific form of the matching conditions, relating the change in the spin potential to the spin…

Nuclear Theory · Physics 2023-09-25 Nora Weickgenannt

We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given by a local Gibbs distribution at initial time. We decompose the energy-momentum tensor and particle current into nondissipative…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tomoya Hayata , Yoshimasa Hidaka , Masaru Hongo , Toshifumi Noumi

To integrate hydrodynamic fluctuations, namely thermal fluctuations of hydrodynamics, into dynamical models of high-energy nuclear collisions based on relativistic hydrodynamics, the property of the hydrodynamic fluctuations given by the…

Nuclear Theory · Physics 2019-10-29 Koichi Murase

We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the…

High Energy Physics - Theory · Physics 2021-02-25 Akash Jain , Pavel Kovtun , Adam Ritz , Ashish Shukla

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for…

Nuclear Theory · Physics 2014-11-18 Matthew Luzum , Paul Romatschke

Simple, self-similar, analytic solutions of relativistic hydrodynamics are presented for cylindrically symmetric, three dimensionally expanding fireballs corresponding to central collisions of heavy ions at relativistic bombarding energies.

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Csorgo , F. Grassi , Y. Hama , T. Kodama

In this paper we report on what we believe is the first successful implementation of relativistic hydrodynamics, coupled to dynamical spacetimes, in spherical polar coordinates without symmetry assumptions. We employ a high-resolution…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Pedro J. Montero , Thomas W. Baumgarte , Ewald Müller

Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 V. Tretyak

We derive the formulae of fluctuating hydrodynamics appropiate to a relativistically consistent divergence type theory, obtaining Landau - Lifshitz fluctuating hydrodynamics as a limiting case.

General Relativity and Quantum Cosmology · Physics 2009-10-30 Esteban Calzetta

We present exact, analytic and simple solutions of relativistic perfect fluid hydrodynamics. The solutions allow us to calculate the rapidity distribution of the particles produced at the freeze-out, and fit them to the measured rapidity…

Nuclear Theory · Physics 2008-11-26 M. Csanad , M. I. Nagy , T. Csorgo

For the first time, we calculate the heating rate, attractive conservative and tangential dissipative fluctuation electromagnetic forces felt by a thick plate moving parallel to a closely spaced another plate in rest using the retarded…

Other Condensed Matter · Physics 2009-08-25 G. V. Dedkov , A. A. Kyasov

We use the Crooks fluctuation theorem together with Zubarev hydrodynamics to develop a bottom-up theory of hydrodynamic fluctuations. We also use thermodynamic uncertainity relations to estimate bottom-up limits to dissipative transport…

High Energy Physics - Theory · Physics 2021-03-17 Giorgio Torrieri

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 construct a Schwinger-Keldysh effective field theory for relativistic hydrodynamics for charged matter in a thermal background using a superspace formalism. Superspace allows us to efficiently impose the symmetries of the problem and to…

High Energy Physics - Theory · Physics 2018-10-17 Kristan Jensen , Natalia Pinzani-Fokeeva , Amos Yarom

We demonstrate that nonextensive perfect relativistic hydrodynamics ($q$-hydrodynamics) can serve as a model of the usual relativistic dissipative hydrodynamics ($d$-hydrodynamics) facilitating therefore considerably its applications. As…

High Energy Physics - Phenomenology · Physics 2014-11-18 Takeshi Osada , Grzegorz Wilk