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High moments of conserved quantities such as net-baryon, net-electric charge, and net-strangeness in heavy-ion collisions are sensitive to fluctuations caused by the QCD critical point (CP). The event-by-event analysis of high moments of…

Nuclear Experiment · Physics 2025-11-06 Xin Zhang , Yu Zhang , Xiaofeng Luo , Nu Xu

This paper formalizes the use of integral and differential cumulants for measurements of multi-particle event-by-event transverse momentum fluctuations, rapidity fluctuations, as well as net charge fluctuations. This enables the…

High Energy Physics - Experiment · Physics 2023-10-12 Claude Pruneau , Victor Gonzalez , Ana Marin , Sumit Basu

We investigate the effect of the global charge conservation on the cumulants of conserved charges in relativistic heavy ion collisions in a finite rapidity window by studying the time evolution of cumulants in the hadronic medium. It is…

Nuclear Theory · Physics 2015-06-11 Miki Sakaida , Masayuki Asakawa , Masakiyo Kitazawa

Comparing proposed quantities to analyze charged particle fluctuations in heavy ion experiments we find the dispersion of the charges in a central rapidity box as best suited. Various energies and different nuclear sizes were considered in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fritz W. Bopp , Johannes Ranft

First, we present a concise glossary of formulas for composition of standard, cumulant, factorial, and factorial cumulant moments in superposition (compound) models, where final particles are created via independent emission from a…

Nuclear Theory · Physics 2017-06-28 Wojciech Broniowski , Adam Olszewski

We demonstrate that measurements of number fluctuations within finite cells provide a direct means to study fluctuation scaling in a trapped two-component condensate. This quantum system supports a second-order phase transition between…

Quantum Gases · Physics 2015-05-19 R. N. Bisset , R. M. Wilson , C. Ticknor

We derive the relation between cumulants of a conserved charge measured in a subvolume of a thermal system and the corresponding grand-canonical susceptibilities, taking into account exact global conservation of that charge. The derivation…

High Energy Physics - Phenomenology · Physics 2020-11-04 Volodymyr Vovchenko , Oleh Savchuk , Roman V. Poberezhnyuk , Mark I. Gorenstein , Volker Koch

Event-by-event fluctuations of the net-proton number studied in heavy-ion collisions provide an important means in the search for the conjectured critical end point (CP) in the QCD phase diagram. We propose a phenomenological model in which…

Nuclear Theory · Physics 2020-04-22 Michał Szymański , Marcus Bluhm , Krzysztof Redlich , Chihiro Sasaki

In this paper we describe physical properties arising in the vicinity of two coupled quantum phase transitions. We consider a phenomenological model based on two scalar order parameter fields locally coupled biquadratically and having a…

Strongly Correlated Electrons · Physics 2017-12-05 Corentin Morice , Premala Chandra , Stephen E. Rowley , Gilbert Lonzarich , Siddharth S. Saxena

Subensemble is a type of statistical ensemble which is the generalization of grand canonical and canonical ensembles. The subensemble acceptance method (SAM) provides general formulas to correct the cumulants of distributions in heavy-ion…

High Energy Physics - Phenomenology · Physics 2023-03-22 Roman V. Poberezhnyuk , Volodymyr Vovchenko , Oleh Savchuk , Volker Koch , Mark I. Gorenstein , Horst Stoecker

The charged hadron multiplicity fluctuations are considered in the canonical ensemble. The microscopic correlator method is extended to include three conserved charges: baryon number, electric charge and strangeness. The analytical formulae…

Nuclear Theory · Physics 2008-11-26 V. V. Begun , M. I. Gorenstein , M. Hauer , V. P. Konchakovski , O. S. Zozulya

The Phi-measure of event-by-event fluctuations in high-energy heavy-ion collisions corresponds to the second moment of the fluctuating quantity distribution of interest. It is shown that the measure based on the third moment preserves the…

Nuclear Theory · Physics 2009-10-31 Stanislaw Mrowczynski

We argue that the event-by-event fluctuation of the proton number is a meaningful and promising observable for the purpose of detecting the QCD critical end-point in heavy-ion collision experiments. The long range fluctuation of the order…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Hatta , M. A. Stephanov

Statistical moments of particle multiplicities in heavy-ion collision experiments are an important probe in the exploration of the phase diagram of strongly interacting matter and, particularly, in the search for the QCD critical end point.…

High Energy Physics - Phenomenology · Physics 2017-09-01 Maurício Hippert , Eduardo S. Fraga

The Poisson-liked statistical fluctuations, which are caused by the finite number of produced particles, are firstly estimated for the cumulants of conserved charges, i.e., the cumulants of net-baryon, net-electric charge, and…

Nuclear Theory · Physics 2014-01-22 Xue Pan , Fan Zhang , Zhiming Li , Lizhu Chen , Mingmei Xu , Yuanfang Wu

We revisit the D-measure of event-by-event net-electric charge fluctuations, an idea first introduced over 20 years ago as a potential signature for the presence of quark-gluon plasma (QGP) in heavy-ion collisions. We developed a…

Nuclear Theory · Physics 2025-09-22 Jonathan Parra , Roman Poberezhniuk , Volker Koch , Claudia Ratti , Volodymyr Vovchenko

Fluctuations of the color superconducting order parameter in dense quark matter at finite temperatures are investigated in terms of the phenomenological Ginzburg - Landau approach. Our estimates show that fluctuations of the di-quark gap…

Nuclear Theory · Physics 2009-11-10 D. N. Voskresensky

The exploration of the Quantum Chromodynamics (QCD) phase diagram is a central goal of relativistic heavy-ion collision experiments. This review focuses on the role of fluctuations and correlations as sensitive probes of the phase…

Nuclear Theory · Physics 2025-12-05 Volker Koch , Volodymyr Vovchenko

Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length. We show that the behaviour of the order parameter correlation function along the transition line of mixed order…

Statistical Mechanics · Physics 2019-09-04 Mustansir Barma , Satya N. Majumdar , David Mukamel

Fluctuations of conserved charges calculated on the lattice which can be measured experimentally, are well reproduced by a hadron resonanse gas model at temperatures below T_{ch} ~ 155 MeV and radically deviate from the hadron resonance gas…

High Energy Physics - Phenomenology · Physics 2024-08-06 T. D. Cohen , L. Ya. Glozman
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