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The non-Gaussian measures of the particle number fluctuations -- skewness $S\sigma$ and kurtosis $\kappa \sigma^2$ -- are calculated in a vicinity of the critical point. This point corresponds to the end point of the first-order liquid-gas…

Nuclear Theory · Physics 2015-12-22 V. Vovchenko , R. V. Poberezhnyuk , D. V. Anchishkin , M. I. Gorenstein

An effective Finite-Size Scaling (FSS) of moment products from recent STAR measurements of the variance $\sigma$, skewness $S$ and kurtosis $\kappa$ of net-proton multiplicity distributions, are reported for a broad range of collision…

Nuclear Experiment · Physics 2016-11-02 Roy A. Lacey , Peifeng Liu , Niseem Magdy , B. Schweid , N. N. Ajitanand

It is shown that intermittency, a self-similar correlation with respect to the size of the phase space volume, is sensitive to critical density fluctuations of baryon numbers in a system belonging to the three-dimensional (3D) Ising…

Nuclear Theory · Physics 2020-01-06 Jin Wu , Yufu Lin , Yuanfang Wu , Zhiming Li

Bulk fluctuations of conserved charges measured by event-by-event analysis in relativistic heavy ion collisions are observables which are believed to carry significant amount of information on the hot medium created by the collisions.…

Nuclear Theory · Physics 2016-08-24 Masayuki Asakawa , Masakiyo Kitazawa

Fluctuations of conserved charges are a golden channel for measuring a QCD critical point in relativistic heavy-ion collisions. These fluctuations are quantified by measuring high-order cumulants of baryon-number distributions at a given…

Nuclear Theory · Physics 2024-10-17 Zachary Sweger , Daniel Cebra , Xin Dong

We present the first application of the maximum-entropy freeze-out prescription to calculate factorial cumulants of proton multiplicities near the conjectured QCD critical point in thermal equilibrium. We map the Gibbs free energy of the 3D…

Nuclear Theory · Physics 2025-10-08 Jamie Karthein , Maneesha Pradeep , Krishna Rajagopal , Mikhail Stephanov , Yi Yin

The fluctuations of proton multiplicity in heavy-ion collisions are the key observables in the search for the QCD critical point. In this work we present an approach to constraining the cumulants of proton number based on the analytical…

Nuclear Theory · Physics 2026-03-26 Gokce Basar , Maneesha Pradeep , Mikhail Stephanov

We present a subset of experimental results on charge fluctuation from the heavy-ion collisions to search for phase transition and location of critical point in the QCD phase diagram. Measurements from the heavy-ion experiments at the SPS…

Nuclear Experiment · Physics 2017-01-24 D. K. Mishra , P. Garg , P. K. Netrakanti , L. M. Pant , A. K. Mohanty

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

We have studied the time evolution of the fluctuations in the net baryon number for different initial conditions and space time evolution scenarios. We observe that the fluctuations at the freeze-out depend crucially on the equation of…

Nuclear Theory · Physics 2009-11-07 Bedangadas Mohanty , Jan-e Alam , Tapan K. Nayak

We use the non-statistical fluctuation instead of the full one to explore the higher moment singularities of net proton event distributions in the relativistic Au+Au collisions at $\sqrt{s_{NN}}$ from 11.5 to 200 GeV calculated by the…

The appearance of large, none-Gaussian cumulants of the baryon number distribution is commonly discussed as a signal for the QCD critical point. We review the status of the Taylor expansion of cumulant ratios of baryon number fluctuations…

High Energy Physics - Lattice · Physics 2021-11-29 C. Schmidt , J. Goswami , G. Nicotra , F. Ziesché , P. Dimopoulos , F. Di Renzo , S. Singh , K. Zambello

The recent results on net-proton and net-charge multiplicity fluctuations from the beam energy scan program at RHIC have drawn much attention to explore the critical point in the QCD phase diagram. Experimentally measured protons contain…

Nuclear Theory · Physics 2017-06-14 D. K. Mishra , P. Garg

Baryon number fluctuations are sensitive to the QCD phase transition and QCD critical point. According to the Feynman rules of finite-temperature field theory, we calculated various order moments and cumulants of the baryon number…

Nuclear Theory · Physics 2017-04-07 Ameng Zhao , Xiaofeng Luo , Hongshi Zong

Dynamical fluctuations in global conserved quantities such as baryon number, strangeness, or charge may be observed near a QCD critical point. Results from new measurements of dynamical $K/\pi$ and $p/\pi$ ratio fluctuations are presented.…

Nuclear Experiment · Physics 2019-08-21 Terence J Tarnowsky

With the help of transport and statistical models, we find that the ratios of higher net-proton cumulants measured at RHIC are dominated by the statistical fluctuations. Future measurements should focus on the dynamical fluctuations, which…

Nuclear Theory · Physics 2011-01-06 Chen Lizhu , Pan Xue , Xiong Fengbo , Li Lin , Li Na , Li Zhiming , Gang Wang , Wu Yuanfang

Enhanced fluctuations and correlations have been observed in the phase transitions of many systems. Their appearance at the predicted QCD phase transition (especially near the expected critical point) may provide insight into the nature of…

Nuclear Experiment · Physics 2011-10-12 Terence J Tarnowsky

We will provide a review of some of the physics which can be addressed by studying fluctuations and correlations in heavy ion collisions. We will discuss Lattice QCD results on fluctuations and correlations and will put them into context…

Nuclear Theory · Physics 2008-10-15 Volker Koch

Hydrodynamic fluctuations have been studied in a wide variety of physical, chemical, and biological phenomena in the past decade. In high energy heavy ion collisions, there will be intrinsic fluctuations even if the initial conditions are…

Nuclear Theory · Physics 2013-06-18 Joseph I. Kapusta , Juan M. Torres-Rincon

We develop a framework to relate proton number cumulants measured in heavy-ion collisions within a momentum space acceptance to the susceptibilities of baryon number, assuming that particles are emitted from a fireball with uniform…

High Energy Physics - Phenomenology · Physics 2022-08-30 Volodymyr Vovchenko , Volker Koch