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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

Using the (2+1)-dimensional viscous hydrodynamic code VISH2+1 with a temperature dependent specific shear viscosity (eta/s)(T), we present a detailed study of the influence of a large hadronic shear viscosity and its corresponding…

Nuclear Theory · Physics 2015-03-17 Chun Shen , Ulrich W Heinz

In 2+1 dimension, we have simulated the hydrodynamic evolution of QGP fluid with dissipation due to shear viscosity. Comparison of evolution of ideal and viscous fluid, both initialised under the same conditions e.g. same equilibration…

Nuclear Theory · Physics 2008-11-26 A. K. Chaudhuri

We study the collision energy dependence of elliptic flow v_2 and triangular flow v_3 in Au+Au collisions within the energy range sqrt(s_{NN}) = 5-200 GeV, utilizing a transport + hydrodynamics hybrid model. The transport part is described…

Nuclear Theory · Physics 2014-04-11 Jussi Auvinen , Hannah Petersen

A non-extensive (3+1)-dimensional hydrodynamic model for multi-particle production processes, NEX-CLVisc, is developed in the framework of CLVisc where the viscous corrections are turned off. It assumes that the non-extensive effects…

Nuclear Theory · Physics 2025-02-10 Jia-Hao Shi , Zhi-Ying Qin , Jin-Peng Zhang , Jian Cao , Ze-Fang Jiang , Wen-Chao Zhang , Hua Zheng

With the attempts of extending the hydrodynamic framework of heavy-ion collision to proton-proton and other small and low energy systems, we are confronted with the question of how small the system can get and still be safely modelled as a…

High Energy Physics - Phenomenology · Physics 2022-12-02 Nikhil Hatwar , Madhukar Mishra

We report recent progress on causal viscous hydrodynamics for relativistic heavy ion collisions. For fixed specific shear viscosity eta/s, uncertainties in the elliptic flow arising from initial conditions, equation of state, bulk viscosity…

Nuclear Theory · Physics 2010-01-15 Huichao Song , Ulrich W. Heinz

We develop a framework for event-by-event ideal hydrodynamics to study the differential elliptic flow which is measured at different centralities in Au+Au collisions at Relativistic Heavy Ion Collider (RHIC). Fluctuating initial energy…

High Energy Physics - Phenomenology · Physics 2011-03-22 Hannu Holopainen , Harri Niemi , Kari J. Eskola

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

Using a hydrodynamic model, we predict the transverse momentum dependence of the spectra and the elliptic flow for different hadrons in Au+Au collisions at sqrt(s) = 130 A GeV. The dependence of the differential and p_t-integrated elliptic…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Huovinen , P. F. Kolb , U. Heinz , P. V. Ruuskanen , S. Voloshin

Relativistic hydrodynamics has been extensively applied to high energy heavy-ion collisions. We review hydrodynamic calculations for Au+Au collisions at RHIC energies and provide a comprehensive comparison between the model and experimental…

Nuclear Theory · Physics 2007-05-23 Peter F. Kolb , Ulrich Heinz

We use a hydrodynamic model to study the space-time evolution transverse to the beam direction in ultrarelativistic heavy-ion collisions with nonzero impact parameters. We focus on the influence of early pressure on the development of…

Nuclear Theory · Physics 2009-10-09 P. F. Kolb , J. Sollfrank , P. V. Ruuskanen , U. Heinz

Measured 2nd and 4th azimuthal anisotropy coefficients v_{2,4}(N_{part}), p_T) are scaled with the initial eccentricity \varepsilon_{2,4}(N_{part}) of the collision zone and studied as a function of the number of participants N_{part} and…

We study effects of eccentricity fluctuations on the elliptic flow coefficient v_2 at mid-rapidity in both Au+Au and Cu+Cu collisions at sqrt{s_NN}=200 GeV by using a hybrid model that combines ideal hydrodynamics for space-time evolution…

Nuclear Theory · Physics 2009-08-03 Tetsufumi Hirano , Yasushi Nara

In a novel approach to studying viscous accretion flows, viscosity has been introduced as a perturbative effect, involving a first-order correction in the $\alpha$-viscosity parameter. This method reduces the problem of solving a…

Astrophysics · Physics 2015-05-13 Jayanta K. Bhattacharjee , Atri Bhattacharya , Tapas K. Das , Arnab K. Ray

We study to what extent the measured elliptic flow at RHIC constrains viscous deviations from ideal hydrodynamics. We solve a toy model where only transverse momenta are thermalized while the system undergoes longitudinal free-streaming. We…

Nuclear Theory · Physics 2009-10-09 Ulrich Heinz , Stephen M. H. Wong

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

Event-by-event hydrodynamics is applied to Cu-Au collisions at 200GeV. Predictions for charged particle distributions in pseudorapidity, transverse momentum spectra, femtoscopy radii are given. The triangular and elliptic flow coefficients…

Nuclear Theory · Physics 2012-10-09 Piotr Bozek

We study the elliptic flow coefficient v_2(eta,b) in Au+Au collisions at sqrt(s)=200 A GeV as a function of pseudorapidity eta and impact parameter b. Using a hybrid approach which combines early ideal fluid dynamical evolution with late…

Nuclear Theory · Physics 2008-11-26 Tetsufumi Hirano , Ulrich W. Heinz , Dmitri Kharzeev , Roy Lacey , Yasushi Nara

I calculate the first correction to the thermal distribution function of an expanding gas due to shear viscosity. With this modified distribution function I estimate viscous corrections to spectra, elliptic flow, and HBT radii in…

Nuclear Theory · Physics 2009-11-10 D. Teaney