Causal theories of dissipative relativistic fluid dynamics for nuclear collisions

By A. Muronga. 2003

229 citations recorded by the source corpus.

Nonequilibrium 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 dynamics of hot matter produced in ultrarelativistic heavy ion collisions. The temperature, energy density, and entropy evolution are investigated in the framework of the Bjorken boost-invariant scaling limit. The results of these second order theories are compared to those of first order theories due to Eckart and to Landau and Lifshitz and those of zeroth order (perfect fluid) due to Euler. In the presence of dissipation perfect fluid dynamics is no longer valid in describing the evolution of the matter. First order theories fail in the early stages of evolution. Second order theories give a better description in good agreement with transport models. It is shown in which region the Navier-Stokes-Fourier laws (first order theories) are a reasonable limiting case of the more general extended thermodynamics (second order theories).

Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ede26c54b144fadcbf2fc7f5e1741ecc957264aa

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In Applied Mathematics

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments (2016, methodology): “The moment method, originally proposed by Grad [49], has been used quite extensively to quantify the dissipative corrections to the distribution function [57–65].”
Nonlinear fluid dynamics from gravity (2007, methodology): “In this paper we use the AdS/CFT correspondence to study the effective description of strongly coupled conformal field theories at long wavelengths.”
Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “For reviews on this subject we refer the reader to [83, 88].”
Causality of holographic hydrodynamics (2009, background): “Indeed the MIS term is sufficient to tame the superluminal propagation with an appropriate choice of the relaxation time τΠ, as we demonstrate below [5].”
Thermal bottomonium suppression at RHIC and LHC (2011, background): “The consideration of momentum-space anisotropic plasmas is necessary since, for any finite shear viscosity, the quark-gluon plasma possesses local momentum-space anisotropies [47–55].”
Dissipative Dynamics of Highly Anisotropic Systems (2010, methodology): “We then made a detailed comparison of the prediction for the ratio of longitudinal to transverse pressure predicted by the RS ansatz and the Israel-Stewart formalism.”
Relativistic viscous fluid dynamics and non-equilibrium entropy (2009, background): “In the last decade – driven by nuclear physics experiments on relativistic heavy-ion collisions [8, 9, 10, 11] – a program to determine the precise form of the equations for a relativistic viscous fluid was initiated [12, 13, 14, 15].”
Relativistic Fluid Dynamics in and out of Equilibrium (2017, methodology): “Muronga’s generalization of Müller-Israel-Stewart theory corresponds to Eq.”
Holographic GB gravity in arbitrary dimensions (2009, background): “The additional transport coefficient above is the relaxation time τΠ and this linear term is sufficient to examine the question of causality within the hydrodynamic regime [38].”