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Space-time evolution and subsequent particle production from minimally viscous ($\eta/s$=0.08) QGP fluid is studied using the 2nd order Israel-Stewart's theory of dissipative relativistic fluid. Compared to ideal fluid, energy density or…

High Energy Physics - Theory · Physics 2008-11-26 A. K. Chaudhuri

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

We review recent interest in the relativistic Riemann problem as a method for generating a non-equilibrium steady state. In the version of the problem under con- sideration, the initial conditions consist of a planar interface between two…

High Energy Physics - Theory · Physics 2016-11-23 Michael Spillane , Christopher P. Herzog

We introduce dissipative effects in the effective field theory of hydrodynamics. We do this in a model-independent fashion by coupling the long-distance degrees of freedom explicitly kept in the effective field theory to a generic sector…

High Energy Physics - Theory · Physics 2013-11-13 Solomon Endlich , Alberto Nicolis , Rafael A. Porto , Junpu Wang

The primary objective of this thesis is to develop a consistent theoretical framework of dissipative hydrodynamics for a relativistic fluid with spin - hereafter referred to as relativistic dissipative spin hydrodynamics. In this framework,…

High Energy Physics - Phenomenology · Physics 2025-12-25 Asaad Daher

In this article, we consider the frame hydrodynamics of biaxial nematic phases, a coupled system between the evolution of the orthonormal frame and the Navier--Stokes equation, which is derived from a molecular-theory-based dynamical tensor…

Analysis of PDEs · Mathematics 2025-08-11 Minjiang Feng , Sirui Li , Qi Zeng

We analyze the mixed frame equations of radiation hydrodynamics under the approximations of flux-limited diffusion and a thermal radiation field, and derive the minimal set of evolution equations that includes all terms that are of leading…

Astrophysics · Physics 2009-11-11 Mark R. Krumholz , Richard I. Klein , Christopher F. McKee , John Bolstad

We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and…

Nuclear Theory · Physics 2021-04-07 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

We derive relativistic second-order dissipative fluid-dynamical equations of motion for massive spin-1/2 particles from kinetic theory using the method of moments. Besides the usual conservation laws for charge, energy, and momentum, such a…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk Rischke

We present a new derivation of relativistic dissipative hydrodynamic equations, which invokes the second law of thermodynamics for the entropy four-current expressed in terms of the single-particle phase-space distribution function obtained…

Nuclear Theory · Physics 2013-05-23 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

In the present work, we develop a causal theory of relativistic non-ideal fluids up to the second order in the Eckart frame using gradient expansion scheme. Keeping the spirit of Mueller-Israel-Stewart formalism, the general forms of bulk…

General Relativity and Quantum Cosmology · Physics 2020-02-06 Sayantani Lahiri

The motion of water is governed by the Navier-Stokes equations, which are complemented by the continuity equation to ensure local mass conservation. In this work, we construct the relativistic generalization of these equations through a…

High Energy Physics - Theory · Physics 2023-12-07 Saulo M. Diles , Alex S. Miranda , Luis A. H. Mamani , Alex M. Echemendia , Vilson T. Zanchin

We investigate the causality and stability of relativistic dissipative fluid dynamics in the absence of conserved charges. We perform a linear stability analysis in the rest frame of the fluid and find that the equations of relativistic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shi Pu , Tomoi Koide , Dirk H. Rischke

We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry group $\mathbb{R}_t\times$ISO$(d)\times$U$(1)$.…

High Energy Physics - Theory · Physics 2020-08-26 Igor Novak , Julian Sonner , Benjamin Withers

Following the recently proposed stable and causal first-order relativistic hydrodynamics by Bemfica, Disconzi, and Noronha, we find the heat flow equation in the presence of gravity for a non-viscous fluid, which suffers heat dissipation.…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Bhera Ram , Bibhas Ranjan Majhi

We present a new derivation of Israel-Stewart-like relativistic second-order dissipative spin hydrodynamic equations using the entropy current approach. In our analysis, we consider a general energy-momentum tensor with symmetric and…

Nuclear Theory · Physics 2023-08-02 Rajesh Biswas , Asaad Daher , Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

Explicit equations are given for describing the space-time evolution of non-ideal (viscous) relativistic fluids undergoing boost-invariant longitudinal and arbitrary transverse expansion. The equations are derived from the second-order…

Nuclear Theory · Physics 2008-11-26 Ulrich W. Heinz , Huichao Song , Asis K. Chaudhuri

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

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

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

We would like to formulate relativistic dissipative hydrodynamics for multi-component systems with multiple conserved currents. This is important for analyses of the hot matter created in relativistic heavy ion collisions because particle…

Nuclear Theory · Physics 2011-03-23 Akihiko Monnai , Tetsufumi Hirano
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