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We study the observable $v_0(p_T)$, which quantifies the relative change of $p_T$ spectra induced by event-by-event density fluctuations in the medium created in heavy-ion collisions. This quantity provides a direct measure of radial flow…

Nuclear Theory · Physics 2026-04-22 Tribhuban Parida , Rupam Samanta , Jean-Yves Ollitrault

We study transverse momentum anisotropies, in particular, the elliptic flow $v_2$ due to the interference effect sourced by valence quarks in high-energy hadron-hadron collisions. Our main formula is derived as the high-energy (eikonal)…

High Energy Physics - Phenomenology · Physics 2025-05-14 Meijian Li , Wenyang Qian , Bin Wu , Hong Zhang

Recently the ratio of triangular flow to the elliptic flow ($v_3/v_2$) of hadrons was proposed as a probe to detect the pattern of $\alpha$-clustering $^{12}\mathrm{C}$ in $^{12}\mathrm{C}$+$^{197}\mathrm{Au}$ collisions at relativistic…

Nuclear Theory · Physics 2018-11-05 S. Zhang , Y. G. Ma , J. H. Chen , W. B. He , C. Zhong

At Large Hadron Collider energy, the expected large multiplicities suggests the presence of collective behavior even in pp collisions. A hydrodynamical approach has been applied to estimate the expected elliptic flow measured by the…

Nuclear Theory · Physics 2010-09-28 S. K. Prasad , Victor Roy , S. Chattopadhyay , A. K. Chaudhuri

In this paper, we mainly study the mean curvature flow in K\"ahler surfaces with positive holomorphic sectional curvatures. We prove that if the ratio of the maximum and the minimum of the holomorphic sectional curvatures is less than 2,…

Differential Geometry · Mathematics 2012-07-24 Jiayu Li , Liuqing Yang

Let $S$ be the submarkovian semigroup on $L_2({\bf R}^d)$ generated by a self-adjoint, second-order, divergence-form, elliptic operator $H$ with $W^{1,\infty}$ coefficients $c_{kl}$. Further let $\Omega$ be an open subset of ${\bf R}^d$.…

Analysis of PDEs · Mathematics 2009-04-01 A. F. M. ter Elst , Derek W. Robinson , Adam Sikora

An analysis of the high-multiplicity triggered pp data at $\sqrt{s}$ = 13 TeV, obtained with the ALICE detector, is carried out to study the event-by-event fluctuations of mean transverse momentum ($\langle p_{\rm T}\rangle$) using a…

High Energy Physics - Experiment · Physics 2024-10-10 Bushra Ali

We consider the compressible Euler system for ideal gas flow in the absence of any forces except the internal thermodynamic pressure. In this setting, and in dimensions higher 1, it is known that wave-focusing can drive Euler solutions to…

Analysis of PDEs · Mathematics 2026-04-27 Helge Kristian Jenssen

The major goal of high-energy heavy-ion collisions is to study the properties of the deconfined quark gluon plasma (QGP), such as partonic collectivity. The collective motion of constituent quarks can be derived from the anisotropic flow…

Nuclear Experiment · Physics 2020-12-02 Amir Goudarzi , Gang Wang , Huan Zhong Huang

Directed and elliptic flow of inclusive photons near mid-rapidity in $158 $A GeV Pb+Pb collisions has been studied. The data have been obtained with the photon spectrometer LEDA of the WA98 experiment at the CERN SPS. The flow strength has…

Nuclear Experiment · Physics 2007-05-23 WA98 Collaboration , M. M. Aggarwal

Elliptic flow measurements at RHIC suggest that quark gluon plasma flows with very little viscosity compared to weak coupling expectations, challenging theorists to explain why this fluid is so nearly ``perfect''. It is therefore vital to…

Nuclear Theory · Physics 2009-11-11 Sean Gavin , Mohamed Abdel-Aziz

Elliptic flow holds much promise for studying the early-time thermalization attained in ultrarelativistic nuclear collisions. Flow measurements also provide a means of distinguishing between hydrodynamic models and calculations which…

Nuclear Experiment · Physics 2012-08-27 STAR collaboration

Anisotropic flows ($v_2$ and $v_4$) of light nuclear clusters are studied by Isospin-Dependent Quantum Molecular Dynamics model for the system of $^{86}$Kr + $^{124}$Sn at intermediate energy and large impact parameters. Number-of-nucleon…

Nuclear Theory · Physics 2008-11-26 T. Z. Yan , Y. G. Ma , X. Z. Cai , J. G. Chen , D. Q. Fang , W. Guo , C. W. Ma , E. J. Ma , W. Q. Shen , W. D. Tian , K. Wang

We investigate irreversible aggregation in which monomer-monomer, monomer-cluster, and cluster-cluster reactions occur with constant but distinct rates K_{MM}, K_{MC}, and K_{CC}, respectively. The dynamics crucially depends on the ratio…

Statistical Mechanics · Physics 2009-11-10 M. Mobilia , P. L. Krapivsky , S. Redner

Event-by-event fluctuations of the initial transverse density profile result in a collective flow pattern which also fluctuates event by event. We propose a number of new correlation observables to characterize these fluctuations and…

Nuclear Experiment · Physics 2012-06-18 Rajeev S. Bhalerao , Matthew Luzum , Jean-Yves Ollitrault

Elliptic flow has been one of the key observables for establishing the finding of the quark-gluon plasma (QGP) at the highest energies of Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). As a sign of collectively…

Nuclear Theory · Physics 2015-06-17 Jussi Auvinen , Hannah Petersen

The elliptic, triangular, quadrangular and pentagonal anisotropic flow coefficients for $\pi^{\pm}$, $\mathrm{K}^{\pm}$ and p+$\overline{\mathrm{p}}$ in Pb-Pb collisions at $\sqrt{s_\mathrm{{NN}}} = 2.76$ TeV were measured with the ALICE…

Nuclear Experiment · Physics 2016-11-29 ALICE Collaboration

If the matter produced in ultrarelativistic heavy-ion collisions reaches thermal equilibrium, its subsequent evolution follows the laws of ideal fluid dynamics. We show that general predictions can be made on this basis alone, irrespective…

Nuclear Theory · Physics 2007-05-23 N. Borghini , J. -Y. Ollitrault

The rapidity dependence of elliptic, $v_2$, and triangular, $v_3$, flow coefficients in proton-nucleus (p+A) collisions is predicted in hydrodynamics and in a multi-phase transport model (AMPT). We find that $v_n$ ($n=2,3$) on a nucleus…

High Energy Physics - Phenomenology · Physics 2015-03-13 Piotr Bozek , Adam Bzdak , Guo-Liang Ma

Measurements of anisotropic flow in heavy-ion collisions provide insight into the early stage of the system's evolution. This proceedings presents directed and elliptic flow for Au+Au collisions at 39, 11.5 and 7.7 GeV, and for Cu+Cu at…

Nuclear Experiment · Physics 2015-05-30 Yadav Pandit
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