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Dipole, triangular, and higher harmonic flow that have an origin in the initial density fluctuations has gained a lot of attention as they can provide additional important information about the dynamical properties (e.g. viscosity) of the…

Nuclear Theory · Physics 2015-05-28 Sergei A. Voloshin

A Maximum Likelihood recursive state estimator is derived for non-linear and non-Gaussian state-space models. The estimator combines a particle filter to generate the conditional density and the Expectation Maximization algorithm to compute…

Methodology · Statistics 2021-03-22 Mohammad S. Ramadan , Robert R. Bitmead

The individual studies of the anisotropic flow vector, flow angle and flow magnitude fluctuations with multi-particle correlations provide insight into the initial conditions and properties of the quark-gluon plasma (QGP) created in…

Nuclear Experiment · Physics 2022-11-28 Emil Gorm Nielsen , You Zhou

Correlation measurements imply that anisotropic flow in nuclear collisions includes a novel triangular component along with the more familiar elliptic-flow contribution. Triangular flow has been attributed to event-wise fluctuations in the…

Nuclear Theory · Physics 2013-05-30 Sean Gavin , George Moschelli

Anisotropic flow plays a crucial role in establishing the equation of state of the Quark Gluon Plasma. The results at RHIC and LHC have demonstrated that the matter created in heavy-ion collisions behaves as a nearly perfect fluid reflected…

Nuclear Experiment · Physics 2019-08-13 Naghmeh Mohammadi

New measurements of two- and four-particle elliptic flow are used to investigate flow fluctuations in collisions of U+U at $\sqrt{s_{NN}}$ = 193~GeV, Cu+Au at $\sqrt{s_{NN}}$ = 200~GeV and Au+Au at several beam energies. These measurements…

Nuclear Experiment · Physics 2019-02-20 Niseem Magdy

The connection between initial-state geometry and anisotropic flow can be quantified through a well-established mapping between $p_T$-integrated flow harmonics and cumulants of the initial transverse energy distribution. In this paper we…

The stochastic motions of a diffusing particle contain information concerning the particle's interactions with binding partners and with its local environment. However, accurate determination of the underlying diffusive properties, beyond…

Biological Physics · Physics 2016-12-21 Peter K. Koo , Simon G. J. Mochrie

How can we gain a detailed insight into the hydrodynamic response of the system created in heavy ion collisions to the fluctuating initial geometry and viscous effects? Do we create a strongly interacting medium in proton-nucleus and…

Nuclear Experiment · Physics 2021-05-18 Georgios Konstantinos Krintiras

Anisotropic azimuthal correlations are used to probe the properties and the evolution of the system created in heavy-ion collisions. Two-particle azimuthal correlations were used in the searches of $p_{\rm T}$ dependent fluctuations of flow…

Nuclear Experiment · Physics 2015-03-26 You Zhou

We report the measurements of correlations between event-by-event fluctuations of amplitudes of anisotropic flow harmonics in nucleus-nucleus collisions, obtained for the first time using a new analysis method based on multiparticle…

Nuclear Experiment · Physics 2016-11-29 ALICE Collaboration

Recent measurements of event-by-event elliptic flow in Au+Au collisions at sqrt(sNN) = 200 GeV exhibit large relative fluctuations of about 40~50%. The data are well described by fluctuations in the shape of the initial collision region, as…

Nuclear Experiment · Physics 2007-05-23 Steven Manly

Maximum Likelihood Estimators (MLE) has many good properties. For example, the asymptotic variance of MLE solution attains equality of the asymptotic Cram{\'e}r-Rao lower bound (efficiency bound), which is the minimum possible variance for…

Machine Learning · Statistics 2019-11-05 Song Liu , Takafumi Kanamori , Wittawat Jitkrittum , Yu Chen

Relativistic dissipative fluid dynamics is a common tool to describe the space-time evolution of the strongly interacting matter created in ultrarelativistic heavy-ion collisions. For a proper comparison to experimental data,…

Nuclear Theory · Physics 2013-05-08 H. Niemi , G. S. Denicol , H. Holopainen , P. Huovinen

Consider the mean-field spin models where the Gibbs measure of each configuration depends only on its magnetization. Based on the Stein and Laplace methods, we give a new and short proof for the scaling limit theorems with convergence rate…

Probability · Mathematics 2025-03-18 Van Hao Can , Adrian Röllin

Initial states of high energy heavy ion collisions are studied using a dipole model through the DIPSY event generator that dynamically includes saturation together with the fluctuations and correlations of the BFKL cascade. The…

Nuclear Theory · Physics 2011-08-25 Christoffer Flensburg

Maximum likelihood estimation (MLE) of latent variable models is often recast as the minimization of a free energy functional over an extended space of parameters and probability distributions. This perspective was recently combined with…

Machine Learning · Computer Science 2024-06-05 Jen Ning Lim , Juan Kuntz , Samuel Power , Adam M. Johansen

A comparison is made between results obtained using smooth initial conditions and event-by-event initial conditions in the hydrodynamical description of relativistic nuclear collisions. Some new results on directed flow are also included.

An open question in the field of heavy-ion collisions is to what extent the size of initial inhomogeneities in the system affects measured observables. Here we present a method to smooth out these inhomogeneities with minimal effect on…

Centrality dependence of charged particles multiplicity, transverse momentum spectra, integrated and differential elliptic flow, in $\sqrt{s}_{NN}$=200 GeV Au+Au collisions are analyzed using event by event ideal hydrodynamics. Monte-Carlo…

Nuclear Theory · Physics 2013-04-03 A. K. Chaudhuri , Md. Rihan Haque , Victor Roy , Bedangadas Mohanty