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Boost-invariant equations of spin hydrodynamics confined to the first-order terms in gradients are numerically solved. The spin equation of state, relating the spin density tensor to the spin chemical potential, is consistently included in…

Nuclear Theory · Physics 2023-05-31 Rajesh Biswas , Asaad Daher , Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

The stability and causality of the Landau-Lifshitz theory and the Israel-Stewart type causal dissipative hydrodynamics are discussed. We show that the problem of acausality and instability are correlated in relativistic dissipative…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota

We investigate the causality and the stability of the relativistic viscous magneto-hydrodynamics in the framework of the Israel-Stewart (IS) second-order theory, and also within a modified IS theory which incorporates the effect of magnetic…

Nuclear Theory · Physics 2020-11-02 Rajesh Biswas , Ashutosh Dash , Najmul Haque , Shi Pu , Victor Roy

A recently formulated extension of perfect spin hydrodynamics, which includes second-order corrections in the spin polarization tensor to the energy-momentum tensor and baryon current, is studied in the case of a one-dimensional…

High Energy Physics - Phenomenology · Physics 2026-01-22 Zbigniew Drogosz , Wojciech Florkowski , Natalia Łygan , Radoslaw Ryblewski

Focusing on the numerical aspects and accuracy we study a class of bulk viscosity driven expansion scenarios using the relativistic Navier-Stokes and truncated Israel-Stewart form of the equations of relativistic dissipative fluids in 1+1…

Nuclear Theory · Physics 2009-03-24 Etele Molnar

We use leading-order anisotropic hydrodynamics to study an azimuthally-symmetric boost-invariant quark-gluon plasma. We impose a realistic lattice-based equation of state and perform self-consistent anisotropic freeze-out to hadronic…

We use symmetry arguments developed by Gubser to construct the first radially-expanding explicit solutions of the Israel-Stewart formulation of hydrodynamics. Along with a general semi-analytical solution, an exact analytical solution is…

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

Non-equilibrium fluid dynamics derived from the extended irreversible thermodynamics of the causal M\"uller--Israel--Stewart theory of dissipative processes in relativistic fluids based on Grad's moment method is applied to the study of the…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

We develop a general formalism for introducing stochastic fluctuations around thermodynamic equilibrium which takes into account, for the first time, recent developments on the causality and stability properties of relativistic hydrodynamic…

Nuclear Theory · Physics 2023-06-16 Nicki Mullins , Mauricio Hippert , Jorge Noronha

We apply the causal Israel-Stewart theory of irreversible thermodynamics to model the matter content of the universe as a dissipative fluid with bulk and shear viscosity. Along with the full transport equations we consider their widely used…

General Relativity and Quantum Cosmology · Physics 2015-09-24 Dmitry Shogin , Per Amund Amundsen , Sigbjørn Hervik

We investigate the phenomenology of freely expanding fluids, with different material properties, evolving through the Israel-Stewart (IS) causal viscous hydrodynamics, and compare our results with those obtained in the relativistic…

Nuclear Theory · Physics 2008-11-26 R. S. Bhalerao , Sourendu Gupta

The thermal analogy between the effective fluid of scalar-tensor gravity and Eckart's irreversible thermodynamics is extended to the causal Israel-Stewart model, adopting the minimal ansatz of promoting the heat flux density to a timelike…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Narayan Banerjee , Andrea Giusti , Valerio Faraoni , Luca Gallerani , Alain Maltais-Gosselin

It is shown by means of a simple analysis that the linearized system of transport equations for a relativistic, single component ideal gas at rest obeys the \textit{antecedence principle}, which is often referred to as causality principle.…

General Relativity and Quantum Cosmology · Physics 2010-08-04 A. Sandoval-Villalbazo , A. L. Garcia-Perciante

The equations governing dissipative relativistic hydrodynamics are formulated within the 3+1 approach for arbitrary spacetimes. Dissipation is accounted for by applying the theory of extended causal thermodynamics (Israel-Stewart theory).…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jochen Peitz , Stefan Appl

We derive equations of motion of hydrodynamic fluctuations performing perturbative expansion of the energy-momentum conservation equations around the boost invariant solution in one-dimensional expanding system. In the course of derivation,…

Nuclear Theory · Physics 2024-03-06 Shin-ei Fujii , Tetsufumi Hirano

In this article we report a novel analytic solution for a cosmological model with a matter content described by a one component dissipative fluid, in the framework of the causal Israel-Stewart theory. Some physically well motivated…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Norman Cruz , Esteban González , Guillermo Palma

We construct a relativistic model for bulk viscosity and heat conduction in a superfluid. Building on the principles of Unified Extended Irreversible Thermodynamics, the model is derived from Carter's multifluid approach for a theory with 3…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

We present new analytic solutions to the relativistic Boltzmann equation within the relaxation time approximation. We first obtain spherically expanding solutions which are the kinetic counterparts of the exact solutions of the…

High Energy Physics - Theory · Physics 2015-04-22 Yoshitaka Hatta , Mauricio Martinez , Bo-Wen Xiao

We derive the second order hydrodynamic equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the…

Nuclear Theory · Physics 2011-02-25 Akihiko Monnai , Tetsufumi Hirano