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Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly…

Nuclear Theory · Physics 2018-06-06 M. McNelis , D. Bazow , U. Heinz

In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion…

Nuclear Theory · Physics 2015-05-13 Tetsufumi Hirano , Naomi van der Kolk , Ante Bilandzic

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

We have applied thermodynamic stability analysis to derive the stability and causality conditions for conventional relativistic viscous hydrodynamics and spin hydrodynamics. We obtain the thermodynamic stability conditions for second-order…

Nuclear Theory · Physics 2024-08-13 Xiang Ren , Chen Yang , Dong-Lin Wang , Shi Pu

In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a first principle microscopic estimation, have been analyzed. A generic approach of…

Nuclear Theory · Physics 2022-06-08 Sukanya Mitra

The elliptic flow excitation function calculated in a full (3+1)d hybrid Boltzmann approach with an intermediate hydrodynamic stage for heavy ion reactions from GSI-SIS to the highest CERN-SPS energies is discussed in the context of the…

Nuclear Theory · Physics 2009-11-18 Hannah Petersen , Marcus Bleicher

The interplay between shear and bulk viscosities on the flow harmonics, $v_n$'s, at RHIC is investigated using the newly developed relativistic 2+1 hydrodynamical code v-USPhydro that includes bulk and shear viscosity effects both in the…

Nuclear Theory · Physics 2014-09-17 J. Noronha-Hostler , J. Noronha , F. Grassi

The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients eta, zeta, kappa, mu,…

Mathematical Physics · Physics 2023-01-16 Heinrich Freistuhler

Anisotropic hydrodynamics is a reorganization of the relativistic hydrodynamics expansion, with the leading order already containing substantial momentum-space anisotropies. The latter are a cause of concern in the traditional viscous…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leonardo Tinti

In this work, we perform a phenomenological derivation of the first- and second-order relativistic hydrodynamics of dissipative fluids. To set the stage, we start with a review of the ideal relativistic hydrodynamics from energy-momentum…

Nuclear Theory · Physics 2023-03-16 Arus Harutyunyan , Armen Sedrakian

We propose a new theory of second-order viscous relativistic hydrodynamics which does not impose any frame conditions on the choice of the hydrodynamic variables. It differs from Mueller-Israel-Stewart theory by including additional…

Nuclear Theory · Physics 2022-07-26 Jorge Noronha , Michał Spaliński , Enrico Speranza

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 propose a differential hydrodynamic response relation, $V_2(\zeta)=\int d\xi G(\zeta-\xi) \mathcal{E}_2(\xi)$, to describe the formation of a pseudorapidity dependent elliptic flow in heavy-ion collisions, in response to a fluctuating…

Nuclear Theory · Physics 2020-01-31 Hui Li , Li Yan

The effects of bulk viscosity on the elliptic flow $v_{2}$ are studied using realistic equation of state and realistic transport coefficients. We find that thebulk viscosity acts in a non trivial manner on $v_{2}$. At low $p_{T}$, the…

High Energy Physics - Phenomenology · Physics 2009-11-18 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota

Our recently developed 2+1 (boost-invariant) hydrodynamic model has been presented and used to i) describe the soft hadronic data collected in the central region of the relativistic heavy-ion collisions at RHIC and ii) to make predictions…

Nuclear Theory · Physics 2011-02-02 Mikolaj Chojnacki

The present work investigates the causal parameter space of the Mueller-Israel-Stewart second-order theory for heat-conducting fluids in the Eckart frame for one-dimensional fluid flow in systems with finite baryon density. It is shown that…

Nuclear Theory · Physics 2026-03-23 Victor Roy

The fluid-gravity correspondence is a duality between anti-de Sitter Einstein gravity and a relativistic fluid living at the conformal boundary. We show that one can accommodate the causal first-order viscous hydrodynamics recently…

High Energy Physics - Theory · Physics 2024-01-18 Luca Ciambelli , Luis Lehner

We calculate initial conditions for the hydrodynamical evolution in ultrarelativistic heavy-ion collisions at the LHC and RHIC in an improved next-to-leading order perturbative QCD + saturation framework. Using viscous relativistic…

High Energy Physics - Phenomenology · Physics 2015-06-18 R. Paatelainen , K. J. Eskola , H. Holopainen , H. Niemi , K. Tuominen

The first-order textbook formulations of relativistic viscous hydrodynamics are unstable and acausal. These shortcomings may be rectified by using effective theories which maintain stability and causality. In this dissertation, which is…

High Energy Physics - Theory · Physics 2025-09-30 Raphael E. Hoult

Effects of the bulk viscosity on the elliptic flow are studied. To introduce a realistic equation of state and transport coefficients, we apply the results of the lattice QCD and hadron resonance gas calculations for these quantities. We…

High Energy Physics - Phenomenology · Physics 2009-12-14 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota