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We study the causality and stability of relativistic hydrodynamics with the inclusion of the spin degree of freedom as a hydrodynamic field. We consider two specific models of spin-hydrodynamics for this purpose. A linear mode analysis for…

Nuclear Theory · Physics 2023-03-27 Golam Sarwar , Md Hasanujjaman , Jitesh R. Bhatt , Hiranmaya Mishra , Jan-e Alam

We consider a first order formulation of relativistic fluids with bulk viscosity based on a stress-energy tensor introduced by Lichnerowicz. Choosing a barotropic equation of state, we show that this theory satisfies basic physical…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Marcelo M. Disconzi , Thomas W. Kephart , Robert J. Scherrer

We investigate the causality and stability of three different relativistic dissipative fluid-dynamical formulations emerging from a system of classical, ultra-relativistic scalar particles self-interacting via a quartic potential. For this…

Nuclear Theory · Physics 2023-11-14 Caio V. P. de Brito , Gabriel S. Rocha , Gabriel S. Denicol

We propose a stable first-order relativistic dissipative hydrodynamic equation in the particle frame (Eckart frame) for the first time. The equation to be proposed was in fact previously derived by the authors and a collaborator from the…

Nuclear Theory · Physics 2008-11-26 Kyosuke Tsumura , Teiji Kunihiro

We investigate the out-of-equilibrium dynamics of viscous fluids in a spatially flat Friedmann-Lema\^itre-Robertson-Walker cosmology using the most general causal and stable viscous energy-momentum tensor defined at first order in spacetime…

General Relativity and Quantum Cosmology · Physics 2023-07-31 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha , Robert J. Scherrer

We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full…

High Energy Physics - Theory · Physics 2024-11-08 Raphael E. Hoult , Pavel Kovtun

We extend the first order dissipative relativistic hydrodynamics model of Bemfica-Disconzi-Noronha- Kovtun (BDNK) in order to include the charge number current in full first order expansion with out-of-equilibrium contribution proportional…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Federico Schianchi , Fernando Abalos

Out-of-equilibrium effects may play an important role in the dynamics of neutron star mergers and in heavy-ion collisions. Bemfica, Disconzi, Noronha and Kovtun (BDNK) recently derived a causal, locally well-posed, and modally stable…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Abhishek Hegade K R , Justin L. Ripley , Nicolás Yunes

We show that the recently formulated causal and stable first-order hydrodynamics has the same dynamics as Israel-Stewart theory for boost-invariant, Bjorken expanding systems with a conformal equation of state and a regulating sector…

Nuclear Theory · Physics 2020-06-03 Arpan Das , Wojciech Florkowski , Jorge Noronha , Radoslaw Ryblewski

Extended theories are widely used in the literature to describe the relativistic fluid. The motivation for this is mostly due to the causality issues allegedly present in the first order theories. However, the decay of fluctuations in the…

General Relativity and Quantum Cosmology · Physics 2011-04-13 D. Brun-Battistini , A. Sandoval-Villalbazo , A. L. Garcia-Perciante

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…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

We perform the linear analysis of causality and stability for a minimal extended spin hydrodynamics up to second order of the gradient expansion. The first order spin hydrodynamics, with a rank-3 spin tensor being antisymmetric for only the…

High Energy Physics - Phenomenology · Physics 2023-11-23 Xin-Qing Xie , Dong-Lin Wang , Chen Yang , Shi Pu

The first order hydrodynamic evolution equations for the shear stress tensor, the bulk viscous pressure and the charge current have been studied for a system of quarks and gluons, with a non-vanishing quark chemical potential and finite…

High Energy Physics - Phenomenology · Physics 2020-07-16 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

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,…

Nuclear Theory · Physics 2023-02-21 Caio V. P. de Brito , Gabriel S. Denicol

We present the first generalization of Navier-Stokes theory to relativity that satisfies all of the following properties: (a) the system coupled to Einstein's equations is causal and strongly hyperbolic; (b) equilibrium states are stable;…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order…

High Energy Physics - Phenomenology · Physics 2011-08-31 Shi Pu

This paper revisits the problem of heat conduction in relativistic fluids, associated with issues concerning both stability and causality. It has long been known that the problem requires information involving second order deviations from…

General Relativity and Quantum Cosmology · Physics 2015-05-28 N. Andersson , C. Lopez-Monsalvo

Causality and stability in relativistic dissipative hydrodynamics are important conceptual issues. We argue that causality is not restricted to hyperbolic set of differential equations. E.g. heat conduction equation can be causal…

Nuclear Theory · Physics 2008-11-26 P. Ván , T. S. Biró

We construct, for the first time, a Bemfica-Disconzi-Noronha-Kovtun (BDNK) theory for linear stochastic fluctuations, which is proved to be mathematically consistent, causal, and covariantly stable. The Martin-Siggia-Rose action is shown to…

Nuclear Theory · Physics 2024-06-11 Lorenzo Gavassino , Nicki Mullins , Mauricio Hippert

In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads…

High Energy Physics - Phenomenology · Physics 2017-05-03 Milton Aguilar , Esteban Calzetta