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This contribution presents a review of our present theoretical as well as experimental knowledge of different fluctuation observables relevant to nuclear multifragmentation. The possible connection between the presence of a fluctuation peak…

Nuclear Experiment · Physics 2009-11-11 F. Gulminelli , M. D'Agostino

Two critical end points (CEPs) of the chiral phase transition and the nuclear liquid-gas phase transition show up at finite baryon chemical potential. The kurtosis $\kappa\sigma^2$ of baryon number fluctuation on the $T-\mu_B$ plane is…

High Energy Physics - Phenomenology · Physics 2023-07-25 Kun Xu , Mei Huang

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets after a temperature quench. The transition is characterized by a sudden switch in the…

Statistical Mechanics · Physics 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm

We propose to describe the time evolution of quasi-stationary fluctuations near QCD critical point by a system of stochastic Boltzmann-Langevin-Vlasov-type equations. We derive the equations and study the system analytically in the…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. A. Stephanov

The search for a possible critical point in the QCD phase diagram is ongoing in heavy ion collision experiments at RHIC which scan the phase diagram by scanning the beam energy; a coming upgrade will increase the luminosity and extend the…

High Energy Physics - Phenomenology · Physics 2018-12-19 Jasmine Brewer , Swagato Mukherjee , Krishna Rajagopal , Yi Yin

We review recent results of net-proton multiplicity fluctuations from STAR experiment, aiming to locate the QCD critical point in high-energy nuclear collisions at RHIC. We show net-proton number cumulant and proton number factorial…

Nuclear Experiment · Physics 2026-04-15 Yu Zhang , Zhaohui Wang , Xiaofeng Luo , Nu Xu

The present work aims at providing a systematic analysis of the current density versus momentum characteristics for a fermionic superfluid throughout the BCS-BEC crossover, even in the fully homogeneous case. At low temperatures, where…

Superconductivity · Physics 2024-03-20 Leonardo Pisani , Verdiana Piselli , Giancarlo Calvanese Strinati

In the context of relativistic heavy-ion collisions, we explore the stochastic and dissipative relaxational dynamics of a non-conserved order parameter in a $\lambda\varphi^4$ interaction. The cutoff of the theory is provided by the lattice…

Critical slowing down (CSD) has been a trademark of critical dynamics for equilibrium phase transitions of a many-body system, where the relaxation time for the system to reach thermal equilibrium or quantum ground state diverges with…

Quantum Physics · Physics 2023-08-02 Wenqian Zhang , Yadong Wu , Xingze Qiu , Jue Nan , Xiaopeng Li

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

For a complete understanding of the QCD phase diagram it is important to connect first-principle thermodynamic calculations to experimental data from the RHIC Beam Energy Scan and the future experimental facilities FAIR, GSI, and NICA,…

Nuclear Theory · Physics 2015-10-29 Marlene Nahrgang

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

The search for the critical point of QCD in heavy-ion collision experiments has sparked enormous interest with the completion of phase I of the RHIC beam energy scan. Here, I review the basics of the thermodynamics of the QCD phase…

Nuclear Theory · Physics 2016-11-23 Marlene Nahrgang

Elastic phase transitions of crystals and phase transitions whose order parameter couples linearly to elastic degrees of freedom are reviewed with particular focus on instabilities at zero temperature. A characteristic feature of these…

Strongly Correlated Electrons · Physics 2015-07-16 Mario Zacharias , Achim Rosch , Markus Garst

We study fluctuations of particle number in the presence of critical point by utilizing molecular dynamics simulations of the classical Lennard-Jones fluid in a periodic box. The numerical solution of the $N$-body problem naturally…

High Energy Physics - Phenomenology · Physics 2022-04-27 Volodymyr A. Kuznietsov , Oleh Savchuk , Mark I. Gorenstein , Volker Koch , Volodymyr Vovchenko

We discuss how heavy quark dynamics is affected by the critical fluctuations near the QCD critical point at finite temperature and density. We find that the heavy quark momentum diffusion constant scales as $\kappa\propto\xi^{z-3-\eta}$. In…

Nuclear Theory · Physics 2024-02-06 Yukinao Akamatsu , Masayuki Asakawa

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

Heavy-ion collisions at relativistic energies probe matter at extreme conditions of temperatures and energy densities. The study of event-by-event fluctuations of experimental observables is crucial to probe the QCD phase transition, locate…

Nuclear Experiment · Physics 2020-12-30 Tapan K. Nayak

Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study…

Statistical Mechanics · Physics 2015-06-11 Silvio Franz , Mauro Sellitto

Higher moments of distributions of net charge and baryon number in heavy-ion collisions have been proposed as signals of fundamental QCD phase transitions. In order to better understand background processes for these observables, models are…

Nuclear Theory · Physics 2021-01-04 Scott Pratt , Rachel Steinhorst