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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 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

The matter created in relativistic heavy ion collisions is fairly well described by ideal hydrodynamics, and somewhat better described by viscous hydrodynamics. To this point, most viscous calculations have been two-dimensional, based on an…

Nuclear Theory · Physics 2015-06-04 Joshua Vredevoogd , Scott Pratt

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 equations of relativistic hydrodynamics are transformed so that steps forward in time preserves local simultaneity. In these variables, the space-time coordinates of neighboring points on the mesh are simultaneous according to co-moving…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

A comparison is made between results obtained using smooth initial conditions and event-by-event initial conditions in the hydrodynamical description of relativistic nuclear collisions. Some new results on directed flow are also included.

We study the effects of hydrodynamic fluctuations in non-boost-invariant longitudinal expansion of matter formed in relativistic heavy ion collisions. We formulate the theory of thermal noise within second-order viscous hydrodynamics…

Nuclear Theory · Physics 2018-09-26 Chandrodoy Chattopadhyay , Subrata Pal

In this thesis, I show my Ph.D. work on event-by-event hydrodynamic simulations for relativistic heavy-ion collision. I show that event-by-event hydrodynamic simulations have become an indispensable tool for studying relativistic heavy-ion…

Nuclear Theory · Physics 2013-08-15 Zhi Qiu

We establish a Lagrangian variational framework for general relativistic continuum theories that permits the development of the process of Lagrangian reduction by symmetry in the relativistic context. Starting with a continuum version of…

Mathematical Physics · Physics 2024-09-23 François Gay-Balmaz

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

Hydrodynamics predicts long-lived sound and shear waves. Thermal fluctuations in these waves can lead to the diffusion of momentum density, contributing to the shear viscosity and other transport coefficients. Within viscous hydrodynamics…

High Energy Physics - Phenomenology · Physics 2011-08-04 Pavel Kovtun , Guy D. Moore , Paul Romatschke

The first order hydrodynamic evolution equations for the shear stress tensor, the bulk viscous pressure and the charge current have been studied for a system of quarks and gluons, with a non-vanishing quark chemical potential and finite…

High Energy Physics - Phenomenology · Physics 2020-07-16 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

In previous papers we have shown how Schr\"{o}dinger's equation which includes an electromagnetic field interaction can be deduced from a fluid dynamical Lagrangian of a charged potential flow that interacts with an electromagnetic field.…

Quantum Physics · Physics 2024-11-26 Asher Yahalom

In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads…

High Energy Physics - Phenomenology · Physics 2017-05-03 Milton Aguilar , Esteban Calzetta

Ten years ago, relativistic viscous fluid dynamics was formulated from first principles in an effective field theory framework, based entirely on the knowledge of symmetries and long-lived degrees of freedom. In the same year, numerical…

Nuclear Theory · Physics 2019-05-21 Paul Romatschke , Ulrike Romatschke

We extend to the Horndeski realm the irreversible thermodynamics description of gravity previously studied in "first generation" scalar-tensor theories. We identify a subclass of Horndeski theories as an out-of--equilibrium state, while…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Andrea Giusti , Stefan Zentarra , Lavinia Heisenberg , Valerio Faraoni

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge…

Nuclear Theory · Physics 2022-12-06 Duan She , Anping Huang , Defu Hou , Jinfeng Liao

We develop a causal hydrodynamic model that provides an effective macroscopic description of the field-theoretic dynamics during the early stages of reheating. The inflaton condensate is treated as a homogeneous background coupled to a…

High Energy Physics - Phenomenology · Physics 2026-01-14 Juan Pablo Elía , Lucas Cantarutti , Nahuel Mirón-Granese , Esteban Calzetta

We consider chiral liquids, that is liquids consisting of massless fermions and right-left asymmetric. In such media, one expects existence of electromagnetic current flowing along an external magnetic field, associated with the chiral…

High Energy Physics - Theory · Physics 2016-01-19 A. Avdoshkin , V. P. Kirilin , A. V. Sadofyev , V. I. Zakharov

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body systems, quantum or classical. It is a gradient series expansion, where different orders of spatial derivatives provide an effective description on…

Statistical Mechanics · Physics 2023-06-07 Jacopo De Nardis , Benjamin Doyon