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In this work we provide analytic and numerical solutions for the Bjorken flow, a standard benchmark in relativistic hydrodynamics providing a simple model for the bulk evolution of matter created in collisions between heavy nuclei. We…

Nuclear Theory · Physics 2025-02-27 Daniele Simeoni , Alessandro Gabbana , Sauro Succi

The LBM is combined with the Volume Penalization (VP LBM) approach to simulate flows in the presence of obstacles. The single relaxation time LBM and the multiple relaxation time LBM are used. For cases where the fluid motion is enhanced by…

Fluid Dynamics · Physics 2018-12-14 M. Benamour , E. Liberge , C. Béghein

In this work, we briefly review the progress made in the formulation of hydrodynamics with spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we discuss the formulation of hydrodynamics with spin…

High Energy Physics - Phenomenology · Physics 2021-04-29 Samapan Bhadury , Jitesh Bhatt , Amaresh Jaiswal , Avdhesh Kumar

We present the general formulation of the relativistic fluid dynamics with vorticity (including relativistic superfluid) on a manifold with boundary. Making use of the Hodge decomposition, we emphasize that the equations of motion include a…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. V. Vlasov

Use of curvilinear coordinates is sometimes indicated by the inherent geometry of a fluid dynamics problem, but this introduces fictitious forces into the momentum equations that spoil strict conservative form. If one is willing to work in…

Fluid Dynamics · Physics 2022-07-20 Christian Y. Cardall

We present a generating functional which describes the equilibrium thermodynamic response of a relativistic system to external sources. A variational principle gives rise to constraints on the response parameters of relativistic…

High Energy Physics - Theory · Physics 2013-05-30 Kristan Jensen , Matthias Kaminski , Pavel Kovtun , Rene Meyer , Adam Ritz , Amos Yarom

We propose an extension to recently developed Relativistic Lattice Boltzmann solvers (RLBM), which allows the simulation of flows close to the free streaming limit. Following previous works [Phys. Rev. C 98 (2018) 035201], we use product…

Quantum fluid (or hydrodynamic) models provide an attractive alternative for the modeling and simulation of the electron dynamics in nano-scale objects. Compared to more standard approaches, such as density functional theory or phase-space…

Quantum Physics · Physics 2021-10-12 Giovanni Manfredi , Paul-Antoine Hervieux , Jérôme Hurst

Conventionally, a microscopic particle that performs a reciprocal stroke cannot move through its environment. This is because at small scales, the response of simple Newtonian fluids is purely viscous and flows are time-reversible. We show…

Fluid Dynamics · Physics 2012-08-21 Nathan C. Keim , Mike Garcia , Paulo E. Arratia

Motion of an ultra-relativistic perfect fluid in space-time with the Kasner metrics is investigated by the Hamiltonian method. It is found that in the limit of small times a tendency takes place to formation of strong inhomogeneities in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. P. Ruban , D. I. Podolsky

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

A new class of simple and exact solutions of relativistic hydrodynamics is presented, and the consequences are explored in data analysis. The effects of longitudinal work and acceleration are taken into account in an advanced estimate of…

Nuclear Theory · Physics 2008-11-26 T. Csorgo , M. I. Nagy , M. Csanad

We review the recent development on a systematic deterministic formalism describing dynamics of both bulk and fluctuations in an arbitrary relativistic hydrodynamic flow carrying conserved charges. In particular, we discuss the…

High Energy Physics - Theory · Physics 2021-02-03 Xin An

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

We derive deterministic equations for the evolution of non-Gaussian fluctuations in relativistic stochastic hydrodynamics. This is achieved by defining the average local Landau frame and corresponding fluctuating hydrodynamic variables.…

Nuclear Theory · Physics 2026-04-16 Xin An , Gokce Basar , Mikhail Stephanov

This paper describes a multidimensional hydrodynamic code which can be used for the studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Orhan Donmez , Refik Kayali

We study relativistic hydrodynamics in the linear regime, based on Mori's projection operator method. In relativistic hydrodynamics, it is considered that ambiguity about the fluid velocity occurs from a choice of a local rest frame: the…

High Energy Physics - Phenomenology · Physics 2018-03-01 Yuki Minami , Yoshimasa Hidaka

Recent development of a hydrodynamic model is discussed by putting an emphasis on realistic treatment of the early and late stages in relativistic heavy ion collisions. The model, which incorporates a hydrodynamic description of the…

Nuclear Theory · Physics 2008-11-26 Tetsufumi Hirano

The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Laura Stricker , Hans Christian Öttinger

Motivated by the physics of the quark-gluon plasma created in heavy-ion collision experiments, we use holography to study the regime of applicability of various theories of relativistic viscous hydrodynamics. Using the microscopic…

High Energy Physics - Theory · Physics 2022-09-23 Hans Bantilan , Yago Bea , Pau Figueras
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