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Fluctuations of conserved quantities, such as baryon, electric charge and strangeness number, are sensitive observables in relativistic heavy-ion collisions to probe the QCD phase transition and search for the QCD critical point. In this…

Nuclear Experiment · Physics 2018-01-10 Xiaofeng Luo , Nu Xu

In this review, we systematically examine the principles and the practices of fluctuations such as the momentum and the charge fluctuations as applied to the heavy ion collisions. Main emphases are: (i) Fluctuations as signals of phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sangyong Jeon , Volker Koch

The QCD critical point can be found in heavy ion collision experiments via the non-monotonic behavior of many fluctuation observables as a function of the collision energy. The event-by-event fluctuations of various particle multiplicities…

High Energy Physics - Phenomenology · Physics 2014-11-21 Christiana Athanasiou , Krishna Rajagopal , Misha Stephanov

We study time evolution of critical fluctuations of conserved charges near the QCD critical point in the context of relativistic heavy ion collisions. A stochastic diffusion equation is employed in order to describe the diffusion property…

Nuclear Theory · Physics 2017-06-21 Miki Sakaida , Masayuki Asakawa , Hirotsugu Fujii , Masakiyo Kitazawa

The recent appreciation of the importance of event-by-event fluctuations in relativistic heavy-ion collisions has lead to a large amount of diverse theoretical and experimental activity. In particular, there is significant interest in…

Nuclear Theory · Physics 2013-03-08 Andrew Adare , Matthew Luzum , Hannah Petersen

The event-by-event fluctuations in heavy ion collisions carry information about the thermodynamic properties of the hadronic system at the time of freeze-out. By studying these fluctuations as a function of varying control parameters, such…

High Energy Physics - Phenomenology · Physics 2007-05-23 Krishna Rajagopal

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

Fluctuations provide a powerful tool for elucidating the nature of strongly-interacting matter in the QCD phase diagram. In heavy-ion-collision systems, the net-particle number fluctuations are captured at the moment of chemical freeze-out.…

Nuclear Theory · Physics 2023-03-15 Jamie M. Karthein

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

These lecture notes consist of two major connected parts. The first part (Sections 1, 2), after a brief historical introduction, deals with the physics of critical points in thermodynamic equilibrium. The features of the fluctuations…

Nuclear Theory · Physics 2024-03-07 Mikhail Stephanov

Fluctuations in the statistical model of heavy ion collisions are studied. The role of statistics, relativity, constraints, decaying resonances and branching processes are investigated using this model. Also studied are thermodynamic…

Nuclear Theory · Physics 2009-11-10 Aram Z. Mekjian

As one of the possible signals for the whereabouts of the critical point on the QCD phase diagram, recently, the multiplicity fluctuations in heavy-ion collisions have aroused much attention. It is a crucial observable of the Beam Energy…

High Energy Physics - Phenomenology · Physics 2020-01-24 Hong-Hao Ma , Kai Lin , Wei-Liang Qian , Bin Wang

Non-statistical event-by-event fluctuations in relativistic heavy-ion collisions have been proposed as a probe of the phase transition of hadronic matter to a deconfined phase of quarks and gluons, the so-called Quark-Gluon Plasma. In a…

High Energy Physics - Experiment · Physics 2019-08-13 Nirbhay Kumar Behera

We derive the two-particle fluctuation correlator in a thermal gas of pi-mesons to the lowest order in an interaction due to a resonance exchange. A diagrammatic technique is used. We discuss how this result can be applied to event-by-event…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Stephanov

The QCD critical point can be found in heavy ion collision experiments via the non-monotonic behavior of many fluctuation observables as a function of the collision energy. The event-by-event fluctuations of various particle multiplicities…

High Energy Physics - Phenomenology · Physics 2011-03-23 Christiana Athanasiou , Krishna Rajagopal , Misha Stephanov

We report on recent progress concerning theoretical description of event-by-event fluctuations in heavy-ion collisions. Specifically we discuss a new Cooper-Frye particlization routine -- the subensemble sampler -- which is designed to…

Nuclear Theory · Physics 2021-04-21 Volker Koch , Volodymyr Vovchenko

Fluctuations of thermodynamic quantities are fundamental to the study of QGP phase transition. Event-by-event fluctuations of many quantities have been studied by dedicated heavy-ion experiments. A brief review of recent experimental…

Nuclear Experiment · Physics 2009-11-11 Tapan K. Nayak

Descriptions of heavy-ion collisions at Fermi energies require to take into account in-medium dissipation and phase-space fluctuations. The interplay of these correlations with the one-body collective behaviour determines the properties…

Nuclear Theory · Physics 2016-05-17 P. Napolitani , M. Colonna

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

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