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The fluctuation-dissipation theorem requires the presence of thermal noise in viscous fluids. The time and length scales of heavy ion collisions are small enough so that the thermal noise can have a measurable effect on observables. Thermal…

Nuclear Theory · Physics 2015-04-16 C. Young , J. I. Kapusta , C. Gale , S. Jeon , B. Schenke

The elliptic flow parameter (component), $v_2$, in the Fourier expansion of event-by-event charged particle multiplicity azimuthal distribution in the momentum space is studied by taking into account the multiplicity fluctuations. The…

High Energy Physics - Phenomenology · Physics 2009-12-23 Dai-Mei Zhou , Yun Cheng , Yu-Liang Yan , Bao-Guo Dong , Ben-Hao Sa , Laszlo P. Csernai

Hydrodynamic description requires a local thermodynamic equilibrium of the system under study but an approximate hydrodynamic behaviour is already manifested when a momentum distribution of liquid components is not of equilibrium form but…

High Energy Physics - Phenomenology · Physics 2009-11-11 Stanislaw Mrowczynski

To bracket the importance of the pre-equilibrium stage on relativistic heavy-ion collision observables, we compare simulations where it is modeled by either free-streaming partons or fluid dynamics. These cases implement the assumptions of…

Nuclear Theory · Physics 2016-11-23 Ulrich W. Heinz , Jia Liu

In high energy collisions involving small nuclei (p+p or x+Au collisions where x=p, d, or $^3$He) the fluctuating size, shape and internal gluonic structure of the nucleon is shown to have a strong effect on the initial size and shape of…

Nuclear Theory · Physics 2016-09-21 Kevin Welsh , Jordan Singer , Ulrich W. Heinz

We investigate the correlation between various aspects of the initial geometry of heavy ion collisions at the Relativistic Heavy Ion Collider energies and the final anisotropic flow, using v-USPhydro, a 2+1 event-by-event viscous…

Averaged over ensemble of initial conditions kinetic transport equations of weakly coupled systems of quarks and gluons are derived. These equations account for the correlators of fluctuations of particles and classical gluon fields. The…

Nuclear Theory · Physics 2008-11-26 S. V. Akkelin

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 propose observables $v_0$ and $v_0(p_T)$ which quantify the relative fluctuations in the total transverse momentum at fixed multiplicity. We first study the factorization of the fixed multiplicity momentum dependent two particle…

Nuclear Theory · Physics 2020-09-23 Björn Schenke , Chun Shen , Derek Teaney

We show that the event-by-event fluctuations of the transverse size of the initial source, which follow directly from the Glauber treatment of the earliest stage of relativistic heavy-ion collisions, cause, after hydrodynamic evolution,…

Nuclear Theory · Physics 2011-03-31 Wojciech Broniowski , Mikolaj Chojnacki , Lukasz Obara

In this work we present a study of the influence of nucleus initializations on the event-by-event elliptic flow coefficient, $v_2$. In most Monte-Carlo models, the initial positions of the nucleons in a nucleus are completely uncorrelated,…

High Energy Physics - Phenomenology · Physics 2017-02-01 B. M. Tavares , H. -J. Drescher , T. Kodama

Quantum fluctuations plays an essential role in forming the collective flow of hadrons observed in relativistic heavy-ion collisions. Event-by-event fluctuations of the collective flow can arise from various sources, such as the…

Nuclear Theory · Physics 2024-07-09 Xinrong Chen , Xiang-Yu Wu , Shanshan Cao , Guang-You Qin

We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and…

Statistical Mechanics · Physics 2025-10-22 Raphael Chetrite , Stefano Marcantoni

We study the pseudorapidity dependent hydrodynamic response in heavy-ion collisions. A differential hydrodynamic relation is obtained for elliptic flow. Using event-by-event simulations of 3+1D MUSIC, with initial conditions generated via a…

Nuclear Theory · Physics 2021-02-03 Hui Li , Li Yan

Fluctuations in fluid velocity and fluctuations in electric fields may both give rise to forces acting on small particles in colloidal suspensions. Such forces in part determine the thermodynamic stability of the colloid. At the classical…

Soft Condensed Matter · Physics 2013-05-29 D. Drosdoff , A. Widom

In this contribution we present an alternative scenario for the large elliptic flow observed in relativistic heavy ion collisions. Motivated by recent results from Lattice QCD on flavor off-diagonal susceptibilities we argue that the matter…

Nuclear Theory · Physics 2009-11-18 Volker Koch

In this brief note, we determine the fluctuations of the initial eccentricity in heavy-ion collisions caused by fluctuations of the nucleon configurations. This is done via a Monte-Carlo implementation of a Color Glass Condensate…

Nuclear Theory · Physics 2008-11-26 H. -J. Drescher , Y. Nara

The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling $\omega_{\max}(t)\propto\ell(t)^{-2/3}$ between the vorticity maximum and pancake…

Fluid Dynamics · Physics 2022-12-09 D. S. Agafontsev , E. A. Kuznetsov , A. A. Mailybaev

We analyze particle velocity fluctuations in a simulated granular system subjected to homogeneous quasistatic shearing. We show that these fluctuations share the following scaling characteristics of fluid turbulence in spite of their…

Soft Condensed Matter · Physics 2009-11-07 F. Radjai , S. Roux

We review recent developments in the ab-initio theoretical description of the initial state in heavy-ion collisions. We emphasize the importance of fluctuations, both for the phenomenological description of experimental data from the…

High Energy Physics - Phenomenology · Physics 2016-11-23 Francois Gelis , Bjoern Schenke