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Models of relativistic heavy ion collisions typically involve both a hydrodynamic module to describe the high density liquid-like phase and a Boltzmann module to simulate the low density break-up phase which is gas-like. Coupling the…

Nuclear Theory · Physics 2010-10-27 Scott Pratt , Giorgio Torrieri

We present a new solution of relativistic hydrodynamics in 1+3 dimensions which depends on both the transverse coordinate and rapidity. At early times the flow expands dominantly longitudinally in a non-boost-invariant manner, and at late…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yoshitaka Hatta , Bo-Wen Xiao , Di-Lun Yang

We introduce a finite-volume numerical scheme for solving stochastic gradient-flow equations. Such equations are of crucial importance within the framework of fluctuating hydrodynamics and dynamic density functional theory. Our proposed…

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the…

High Energy Physics - Theory · Physics 2022-10-04 Zheng Cao , Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Hidetoshi Taya

Many features of real granular fluids under rapid flow are exhibited as well by a system of smooth hard spheres with inelastic collisions. For such a system, it is tempting to apply standard methods of kinetic theory and hydrodynamics to…

Statistical Mechanics · Physics 2016-11-23 James W. Dufty

Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We…

High Energy Physics - Theory · Physics 2022-01-19 Masaru Hongo , Xu-Guang Huang , Matthias Kaminski , Mikhail Stephanov , Ho-Ung Yee

The hydrodynamic model for the expansion of the fireball in relativistic heavy-ion collisions is presented. Calculations using relativistic hydrodynamics of a fluid with small viscosity yield a satisfactory description of the experimental…

Nuclear Theory · Physics 2012-06-18 Piotr Bozek

We derive a hydrodynamic model for a liquid of arbitrarily curved flux-lines and vortex loops using the mapping of the vortex liquid onto a liquid of relativistic charged quantum bosons in 2+1 dimensions recently suggested by Tesanovic and…

Superconductivity · Physics 2007-05-23 P. Benetatos , M. C. Marchetti

We show that relativistic hydrodynamics in Minkowski space-time has intrinsic ambiguity in second order viscosity parameters in the Landau-Lifshitz frame. This stems from the possibility of improvements of energy-momentum tensor. There…

High Energy Physics - Theory · Physics 2012-10-08 Yu Nakayama

When one considers a shock wave in the frame where the shock is at rest, on either side one has a steady flow which converges to equilibrium away from the shock. However, hydrodynamics is unable to describe this flow if the asymptotic…

Nuclear Theory · Physics 2022-03-14 Esteban Calzetta

In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inherent in shallow water systems, particularly suited for…

Numerical Analysis · Mathematics 2025-05-14 Mirco Ciallella , Lorenzo Micalizzi , Victor Michel-Dansac , Philipp Öffner , Davide Torlo

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu

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 present the derivation of second-order relativistic viscous hydrodynamics from an effective Boltzmann equation for a system consisting of quasiparticles of a single species. We consider temperature-dependent masses of the quasiparticles…

Nuclear Theory · Physics 2017-03-15 Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

Shear flow of dense, non-Brownian suspensions is simulated using the discrete element method, taking particle contact and hydrodynamic lubrication into account. The resulting flow regimes are mapped in the parametric space of solid volume…

Soft Condensed Matter · Physics 2015-01-06 Christopher Ness , Jin Sun

The relativistic hydrodynamic model is applied to describe the expansion of the dense matter formed in relativistic heavy-ion collisions. The hydrodynamic expansion of the fluid, supplemented with the statistical emission of hadrons at…

Nuclear Theory · Physics 2012-03-27 Piotr Bozek

The properties of dense granular systems are analyzed from a hydrodynamical point of view, based on conservation laws for the particle number density and linear momentum. We discuss averaging problems associated with the nature of such…

Materials Science · Physics 2015-06-24 Clara Saluena , Sergei E. Esipov , Thorsten Poeschel

Relativistic hydrodynamics for ideal and viscous fluids is discussed as a tool to describe relativistic heavy-ion collisions and to extract transport properties of the quark-gluon plasma from experimentally measured hadron momentum spectra.

Nuclear Theory · Physics 2015-05-13 Ulrich W. Heinz

We simulate numerically the full dynamics of Faraday waves in three dimensions for two incompressible and immiscible viscous fluids. The Navier-Stokes equations are solved using a finite-difference projection method coupled with a…

Fluid Dynamics · Physics 2009-09-22 Nicolas Perinet , Damir Juric , Laurette S. Tuckerman

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
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