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Recent progress of a general deterministic approach to the non-Gaussian fluctuation dynamics is reviewed, with an emphasis on the derivation of the fluctuation evolution equations and their phenomenological implication in heavy-ion…

High Energy Physics - Theory · Physics 2022-09-30 Xin An

The non-Gaussian fluctuations of baryon density are sensitive to the presence of the conjectured QCD critical point. Their observational consequences are crucial for the ongoing experimental search for this critical point through the beam…

Nuclear Theory · Physics 2022-04-13 Noriyuki Sogabe , Yi Yin

We consider non-equilibrium evolution of non-Gaussian fluctuations within relativistic hydrodynamics relevant for the QCD critical point search in heavy-ion collision experiments. We rely on the hierarchy of relaxation time scales, which…

High Energy Physics - Theory · Physics 2023-09-27 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

To reconstruct the impact parameter distributions from the selected events sample or centrality, which is defined by two-observables, at intermediate energy heavy ion collisions, we extend the approach proposed by Das \textit{et al.} [Phys.…

Nuclear Theory · Physics 2023-09-06 Xiang Chen , Li Li , Ying Cui , Junping Yang , Zhuxia Li , Yingxun Zhang

An interesting opportunity to determine thermodynamic and transport properties in more detail is to identify generic statistical properties of initial density perturbations. Here we study event-by-event fluctuations in terms of correlation…

High Energy Physics - Phenomenology · Physics 2014-08-29 Stefan Floerchinger , Urs Achim Wiedemann

With the highly anticipated results from the Beam Energy Scan II program at RHIC being recently revealed, an understanding of particle-number fluctuations and their significance as a potential signature of a possible QCD critical point is…

Non-Gaussian velocity distribution in star forming region is reproduced by inelastic clump collision model. We numerically calculated the evolution of inelastic hard spheres in sheared flow, which corresponds to cloud clumps in differential…

Astrophysics · Physics 2008-02-03 Shigeru Ida , Y-h. Taguchi

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

We apply the Bayesian model selection method (based on the Bayes factor) to optimize $\sqrt{s_\mathrm{NN}}$-dependence in the phenomenological parameters of the (3+1)-dimensional hybrid framework for describing relativistic heavy-ion…

Nuclear Theory · Physics 2026-03-02 Syed Afrid Jahan , Hendrik Roch , Chun Shen

Heavy-ion collisions provide a window into the properties of many-body systems of deconfined quarks and gluons. Understanding the collective properties of quarks and gluons is possible by comparing models of heavy-ion collisions to…

Nuclear Theory · Physics 2025-02-06 Jean-François Paquet

The number of particles detected in a nucleus-nucleus collision strongly depends on the impact parameter of the collision. Therefore, multiplicity fluctuations, as well as rapidity correlations of multiplicities, are dominated by impact…

We study the effect of the QCD critical point on non-Gaussian moments (cumulants) of fluctuations of experimental observables in heavy-ion collisions. We find that these moments are very sensitive to the proximity of the critical point, as…

High Energy Physics - Phenomenology · Physics 2010-04-21 M. A. Stephanov

The analysis of the statistical and dynamical fluctuations in nucleus-nucleus collisions on an event-by-event basis strongly relies on a comparison with specially constructed artificial events where statistical fluctuations and kinematical…

Nuclear Experiment · Physics 2007-05-23 Grazyna Odyniec

Multiplicity fluctuations are one of the most crucial observables in the Beam Energy Scan program of the Relativistic Heavy Ion Collider. It is understood that they can be utilized to probe the whereabouts of the critical point on the phase…

Nuclear Theory · Physics 2020-02-12 Hong-Hao Ma , Dan Wen , Kai Lin , Wei-Liang Qian , Bin Wang , Yogiro Hama , Takeshi Kodama

I review recent measurements of a large set of flow observables associated with event-shape fluctuations and collective expansion in heavy ion collisions. First, these flow observables are classified and experiment methods are introduced.…

Nuclear Experiment · Physics 2015-06-22 Jiangyong Jia

The cumulants of the distribution of anisotropic flow are measured accurately in Pb+Pb collisions at the LHC as a function of centrality classifiers (charged multiplicity and/or transverse energy). Using Bayesian inference, we reconstruct…

Nuclear Theory · Physics 2025-07-01 Enak Roubertie , Mathis Verdan , Andreas Kirchner , Jean-Yves Ollitrault

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

The transverse momentum per particle, $[p_t]$, fluctuates event by event in ultrarelativistic nucleus-nucleus collisions, for a given multiplicity. These fluctuations are small and approximately Gaussian, but a non-zero skewness has been…

Nuclear Theory · Physics 2023-08-21 Rupam Samanta , João Paulo Picchetti , Matthew Luzum , Jean-Yves Ollitrault

We consider a system of $N$ disordered mean-field interacting diffusions within spatial constraints: each particle $\theta_i$ is attached to one site $x_i$ of a periodic lattice and the interaction between particles $\theta_i$ and…

Probability · Mathematics 2020-01-16 Eric Luçon , Wilhelm Stannat

We discuss a method to obtain the true event-by-event net-charge multiplicity distributions from a corresponding measured distribution which is subjected to detector effects such as finite particle counting efficiency. The approach is based…

Nuclear Experiment · Physics 2015-06-12 P. Garg , D. K. Mishra , P. K. Netrakanti , A. K. Mohanty , B. Mohanty
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