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Related papers: Universal Flow in the First fm/c at RHIC

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For the K\"ahler-Ricci flow on a compact K\"ahler manifold with semi-ample canonical line bundle, we prove the singularity type at infinity does not depend on the choice of the initial metric. We also provide new simple proofs for some…

Differential Geometry · Mathematics 2017-10-17 Yashan Zhang

The hydrodynamic attractors paradigm aims to explain the applicability of hydrodynamics after a very short timescale in ultra-relativistic nuclear collisions at RHIC and LHC in terms of the emergence of universal behavior across different…

High Energy Physics - Theory · Physics 2025-08-25 Michal P. Heller , Clemens Werthmann

Single component nonrelativistic dissipative fluids are treated independently of reference frames and flow-frames. First the basic fields and their balances, then the related thermodynamic relations and the entropy production are calculated…

Fluid Dynamics · Physics 2017-04-11 Péter Ván

We propose a new approach to initialize the hydrodynamic fields such as energy density distributions and four flow velocity fields in hydrodynamic modeling of high-energy nuclear collisions at the collider energies. Instead of matching the…

Nuclear Theory · Physics 2017-06-09 Michito Okai , Koji Kawaguchi , Yasuki Tachibana , Tetsufumi Hirano

At the Relativistic Heavy Ion Collider (RHIC), key insights into the bulk properties of the hot and dense partonic matter arise from the study of azimuthal anisotropy ($v_2$) of the produced particles. These insights include indicating the…

Nuclear Experiment · Physics 2019-08-13 E. Richardson

I review how hydrodynamical flow is related to the observed flow in ultrarelativistic heavy ion collisions and how initial conditions, equation of state and freeze-out temperature affect flow in hydrodynamical models.

Nuclear Theory · Physics 2016-11-23 Pasi Huovinen

A detailed description of the temporal evolution of the thermodynamic fields in heavy ion collisions is presented within a hydrodynamic framework. Particular attention is devoted to the evolution of the collective flow fields and their…

Nuclear Theory · Physics 2009-11-10 Peter F. Kolb

Equations for a perfect fluid can be obtained by means of the variational principle both in the Lagrangian description and in the Eulerian one. It is known that we need additional fields somehow to describe a rotational isentropic flow in…

Fluid Dynamics · Physics 2010-10-27 Hiroki Fukagawa , Youhei Fujitani

Using analytic solutions of the Yang-Mills equations we calculate the initial flow of energy of the classical gluon field created in collisions of large nuclei at high energies. We find radial and elliptic flow which follows gradients in…

Nuclear Theory · Physics 2015-06-22 Rainer J. Fries , Guangyao Chen

In this paper we construct a Ricci de Turck flow on any incomplete Riemannian manifold with bounded curvature. The central property of the flow is that it stays uniformly equivalent to the initial incomplete Riemannian metric, and in that…

Differential Geometry · Mathematics 2021-01-26 Tobias Marxen , Boris Vertman

In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold $(M^n,g_0)$ that is PIC1, or more generally satisfies a lower curvature bound $K_{IC_1}\geq -\alpha_0$. That is, instead of constructing a flow on…

Differential Geometry · Mathematics 2019-08-27 Andrew D. McLeod , Peter M. Topping

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

Time evolution of a "little bang" created in heavy ion collisions can be divided into two phases, the pre-equilibrium and hydrodynamic. At what moment the evolution becomes hydrodynamic and is there any universality in the hydrodynamic…

High Energy Physics - Phenomenology · Physics 2013-05-29 M. Lublinsky , E. Shuryak

In hydrodynamics, the momentum distribution of particles at the end of the evolution is completely determined by initial conditions. We study quantitatively to what extent anisotropic flow is determined by predictors such as the initial…

Nuclear Theory · Physics 2013-05-14 Fernando G. Gardim , Frederique Grassi , Matthew Luzum , Jean-Yves Ollitrault

We consider a fermionic fluid in a non-equilibrium steady state where the fluctuation-dissipation theorem is not valid and fields conjugate to the hydrodynamic variables are explicitly required to determine response functions. We identify…

Statistical Mechanics · Physics 2024-07-03 T. R. Kirkpatrick , D. Belitz

Relativistic heavy ion collisions have reached energies that enable the creation of a novel state of matter termed the quark-gluon plasma. Many observables point to a picture of the medium as rapidly equilibrating and expanding as a nearly…

Nuclear Theory · Physics 2011-07-19 James L. Nagle , Ian G. Bearden , William A. Zajc

Fluid dynamical description of elementary particle collisions has a long history dating back to the works of Landau and Fermi. Nevertheless, it is during the last 10-15 years when fluid dynamics has become the standard tool to describe the…

Nuclear Theory · Physics 2013-12-05 Pasi Huovinen

The hydrodynamic description of a superfluid is usually based on a two-fluid picture. In this thesis, basic properties of such a relativistic two-fluid system are derived from the underlying microscopic physics of a complex scalar quantum…

High Energy Physics - Phenomenology · Physics 2015-02-03 Stephan Stetina

Given a completely arbitrary surface, whether or not it has bounded curvature, or even whether or not it is complete, there exists an instantaneously complete Ricci flow evolution of that surface that exists for a specific amount of time…

Analysis of PDEs · Mathematics 2014-10-03 Gregor Giesen , Peter M. Topping

We present the directed flow measurement ($v_1$) from Au+Au collisions at $\sqrtsNN = 62$ GeV. Over the pseudorapidity range we have studied, which covers $\eta$ from -1.2 to 1.2 and $2.4 < |\eta| < 4$, the magnitude of $v_1$ for charged…

Nuclear Experiment · Physics 2009-11-10 Aihong Tang