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Related papers: Event-by-Event Analysis and the Central Limit Theo…

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The Central Limit Theorem states that, in the limit of a large number of terms, an appropriately scaled sum of independent random variables yields another random variable whose probability distribution tends to a stable distribution. The…

Data Analysis, Statistics and Probability · Physics 2024-04-08 Damián H. Zanette , Inés Samengo

We propose to characterize heavy-ion collisions at ultra-relativistic energies by using fluctuations of energy density and temperature. Temperature fluctuations on an event-by-event basis have been studied both in terms of global…

Nuclear Experiment · Physics 2020-09-08 Sumit Basu , Rupa Chatterjee , Bastanta K. Nandi , Tapan K. Nayak

The presence of large event-by-event flow fluctuations in heavy ion collisions at RHIC and the LHC provides an opportunity to study a broad class of flow observables. This paper explores the correlations among harmonic flow coefficients…

Nuclear Experiment · Physics 2014-09-12 Peng Huo , Jiangyong Jia , Soumya Mohapatra

In relativistic heavy-ion collisions, properties of the initial state and effects arising during evolution of the medium, such as a transition between the hadronic and partonic phases, should reflect themselves in event-by-event…

High Energy Physics - Phenomenology · Physics 2019-04-05 Igor Altsybeev

We systematically compare an event-by-event heavy-ion collision model to data from the Large Hadron Collider. Using a general Bayesian method, we probe multiple model parameters including fundamental quark-gluon plasma properties such as…

The correlations between event-by-event fluctuations of symmetry planes are measured in Pb--Pb collisions at a centre-of-mass energy per nucleon pair $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV recorded by the ALICE detector at the Large Hadron…

Nuclear Experiment · Physics 2025-08-01 ALICE Collaboration

Despite being the overwhelming majority of events produced in hadron or heavy ion collisions, minimum bias events do not enjoy a robust first-principles theoretical description as their dynamics are dominated by low-energy quantum…

High Energy Physics - Phenomenology · Physics 2021-10-27 Andrew J. Larkoski , Tom Melia

Event-by-event fluctuations of global observables in relativistic heavy-ion collisions are studied as probes for the QCD phase transition and as tools to search for critical phenomena near the phase boundary. Dynamical fluctuations in mean…

Nuclear Experiment · Physics 2015-06-22 Nihar Ranjan Sahoo

We prove a central limit theorem for a sequence of random variables whose means are ambiguous and vary in an unstructured way. Their joint distribution is described by a set of measures. The limit is (not the normal distribution and is)…

Probability · Mathematics 2020-07-01 Zengjing Chen , Larry G. Epstein

In this paper we consider the asymptotic distributions of functionals of the sample covariance matrix and the sample mean vector obtained under the assumption that the matrix of observations has a matrix-variate location mixture of normal…

Statistics Theory · Mathematics 2023-04-19 Taras Bodnar , Stepan Mazur , Nestor Parolya

The universal theory of order parameter fluctuations (delta scaling laws) is applied to a wide range of intermediate energy heavy-ion collision data obtained with INDRA. This systematic study confirms that the observed fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , R. Bougault , A. Chbihi , S. Hudan , A. Mignon

Event-by-event fluctuations of multiplicity and transverse momentum of charged hadrons produced in heavy-ion collisions at FAIR energies, 10A, 20A, 30A and 40A GeV are studied in the framework of relativistic transport model, URQMD.…

High Energy Physics - Phenomenology · Physics 2023-12-12 Bushra Ali , Shakeel Ahmad , A. Ahmad

Fragment production in central collisions of Xe+Sn has been systematically studied with the INDRA multidetector from 25 to 150 AMeV. The predominant role of collision dynamics is evidenced in multiple intermediate mass fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , A. Chbihi , S. Hudan , A. Mignon , A. Ono

Preliminary results are presented for two analyses of transverse energy (ET) production measured with the electromagnetic calorimeters of the Pioneering High Energy Nuclear Interaction Experiment (PHENIX), in nuclear interactions in Au+Au…

Nuclear Experiment · Physics 2008-11-26 Raul Armendariz

I review arguments for the existence of a critical point E in the QCD phase diagram as a function of temperature T and baryon chemical potential \mu. I describe how heavy ion collision experiments at the SPS and RHIC can discover the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Krishna Rajagopal

Particle production and event topology are very strongly correlated in high-energy hadronic and nuclear collisions. Event topology is decided by the underlying particle production dynamics and medium effects. Transverse spherocity is an…

High Energy Physics - Phenomenology · Physics 2022-03-11 Suraj Prasad , Neelkamal Mallick , Debadatta Behera , Raghunath Sahoo , Sushanta Tripathy

We investigate the asymptotic properties of the integrated periodogram calculated from a sequence of indicator functions of dependent extremal events. An event in Euclidean space is extreme if it occurs far away from the origin. We use a…

Statistics Theory · Mathematics 2015-03-16 Thomas Mikosch , Yuwei Zhao

We present the latest results on event-by-event fluctuations of charged particle multiplicity in Au+Au and Cu+Cu collisions at $\sqrt{s_{NN}} = 200$ GeV and 62.4 GeV measured by PHENIX experiment at RHIC. The two particle correlation length…

Nuclear Experiment · Physics 2019-08-14 T. Nakamura

A simple geometrical model with event-by-event fluctuations is suggested to study elliptical and triangular eccentricities in the initial state of relativistic heavy-ion collisions. This model describes rather well the ALICE and ATLAS data…

Nuclear Theory · Physics 2021-08-11 G. Kh. Eyyubova , V. L. Korotkikh , A. M. Snigirev , E. E. Zabrodin

A finite range interacting particle system on a transitive graph is considered. Assuming that the dynamics and the initial measure are invariant, the normalized empirical distribution process converges in distribution to a centered…

Mathematical Physics · Physics 2007-05-23 Paul Doukhan , Gabriel Lang , Sana Louhichi , Bernard Ycart