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The behaviour of solutions to the Einstein equations with a causal viscous fluid source is investigated. In this model we consider a spatially flat Robertson-Walker metric, the bulk viscosity coefficient is related to the energy density as…

General Relativity and Quantum Cosmology · Physics 2012-08-09 Luis P. Chimento , Alejandro S. Jakubi

Interacting fluids, endowed with bulk viscous stresses, are discussed in a unified perspective with the aim of generalizing the treatment of cosmological perturbation theory to the case where both fluctuating decay rates and fluctuating…

Astrophysics · Physics 2009-11-24 Massimo Giovannini

We present the first fully nonlinear causality constraints in $D = 3 + 1$ dimensions for Israel-Stewart theory in the presence of energy and number diffusion in the Eckart and Landau hydrodynamic frames, respectively. These constraints are…

Nuclear Theory · Physics 2026-02-27 Ian Cordeiro , Fábio S. Bemfica , Enrico Speranza , Jorge Noronha

Employing a simplified version of the Israel-Stewart formalism for general-relativistic shear-viscous hydrodynamics, we perform axisymmetric general-relativistic simulations for a rotating neutron star surrounded by a massive torus, which…

High Energy Astrophysical Phenomena · Physics 2017-04-26 Masaru Shibata , Kenta Kiuchi , Yu-ichiro Sekiguchi

The microscopic formulas for the shear viscosity $\eta$, the bulk viscosity $\zeta$, and the corresponding relaxation times $\tau_\pi$ and $\tau_\Pi$ of causal dissipative relativistic fluid-dynamics are obtained at finite temperature and…

High Energy Physics - Theory · Physics 2013-05-24 Xu-Guang Huang , Tomoi Koide

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 investigate the entropy production within dissipative hydrodynamics in the Israel-Stewart (IS) and Navier-Stokes theory (NS) for relativistic heavy ion physics applications. In particular we focus on the initial condition in a 0+1D…

High Energy Physics - Phenomenology · Physics 2015-05-28 Stefano Mattiello

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

High Energy Physics - Theory · Physics 2010-01-22 Paul Romatschke

A suitable notion of weak solution to infinite-dimensional rate-independent systems, called Inertial Balanced Viscosity (IBV) solution, is introduced. The key feature of such notion is that the energy dissipated at jump discontinuities…

Analysis of PDEs · Mathematics 2023-06-22 Filippo Riva , Giovanni Scilla , Francesco Solombrino

The relativistic extension of the classic stellar structure equations is investigated. It is pointed out that the Tolman-Oppenheimer-Volkov (TOV) equation with the gradient equation for local gravitational mass can be made complete as a…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shuichi Yokoyama

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

Numerical Analysis · Mathematics 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

In this work we explore a new cosmological solution for an universe filled with one dissipative fluid, described by a barotropic EoS $p = \omega \rho$, in the framework of the full Israel-Stewart theory. The form of the bulk viscosity has…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Miguel Cruz , Norman Cruz , Samuel Lepe

We investigate the effects of finite baryon density and temperature on the bulk properties of matter formed in relativistic heavy ion collisions within second-order dissipative hydrodynamics. The relativistic fluid evolution equations for…

Nuclear Theory · Physics 2020-08-13 Sukanya Mitra , Subrata Pal

We exactly solve the one-dimensional boost-invariant Boltzmann equation in the relaxation time approximation for arbitrary shear viscosity. The results are compared with the predictions of viscous and anisotropic hydrodynamics. Studying…

Nuclear Theory · Physics 2013-08-08 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

The nonextensive one-dimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed. It is based on nonextensive statistics assumed in the form proposed by Tsallis and characterized by a…

Nuclear Theory · Physics 2014-11-18 T. Osada , G. Wilk

Relativistic dissipative hydrodynamic equations are extended by taking into account particle number changing processes in a gluon system, which expands in one dimension boost-invariantly. Chemical equilibration is treated by a rate equation…

Nuclear Theory · Physics 2010-11-23 Andrej El , Azwinndini Muronga , Zhe Xu , Carsten Greiner

A relativistic version of the rational extended thermodynamics of polyatomic gases based on a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal mode is…

Statistical Mechanics · Physics 2022-01-12 Takashi Arima , Maria Cristina Carrisi , Sebastiano Pennisi , Tommaso Ruggeri

We study the one-dimensional boost-invariant Boltzmann equation in the relaxation-time approximation using special moments of the distribution function for a system with a finite particle mass. The infinite hierarchy of moments can be…

Nuclear Theory · Physics 2022-11-08 Sunil Jaiswal , Jean-Paul Blaizot , Rajeev S. Bhalerao , Zenan Chen , Amaresh Jaiswal , Li Yan

We perform a global analysis of curved Friedmann-Robertson-Walker cosmologies in the presence of a viscous fluid. The fluid's bulk viscosity is governed by a first order theory recently proposed in [M. M. Disconzi, T. W. Kephart, and R. J.…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Giovanni Acquaviva , Aroonkumar Beesham
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