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Hydrodynamics is applied to describe the dynamics of relativistic heavy-ion collisions. The focus of the present study is the influence of a possible (phase) transition to the quark-gluon plasma in the nuclear matter equation of state on…

Nuclear Theory · Physics 2009-10-30 Dirk H. Rischke

These lecture notes and example problems are based on a course given at the University of Cambridge in Part III of the Mathematical Tripos. Fluid dynamics is involved in a very wide range of astrophysical phenomena, such as the formation…

Solar and Stellar Astrophysics · Physics 2016-05-25 Gordon I. Ogilvie

In order to compare theoretical calculations of thermal fluctuations of conserved quantities, such as charge susceptibilities or the specific heat, to experimentally measured correlations and fluctuations in heavy ion collisions, one must…

Nuclear Theory · Physics 2017-05-31 Scott Pratt , Clint Young

These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.

Mathematical Physics · Physics 2011-06-21 Vojkan Jaksic , Yoshiko Ogata , Yan Pautrat , Claude-Alain Pillet

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

Upcoming experimental programs will look for signatures of a possible critical point in the QCD phase diagram in fluctuation observables. To understand and predict these signatures, one must account for the fact that the dynamics of any…

High Energy Physics - Phenomenology · Physics 2020-12-30 Krishna Rajagopal , Gregory Ridgway , Ryan Weller , Yi Yin

In an era of high-precision determinations of QGP properties a full incorporation of fluid dynamical fluctuations into our models has become crucial, in particular, when describing the dynamics of small systems or near the conjectured QCD…

Nuclear Theory · Physics 2018-04-11 Marcus Bluhm , Marlene Nahrgang , Thomas Schaefer , Steffen A. Bass

These proceedings consist of a brief overview of the current understanding of collective behavior in relativistic heavy-ion collisions. In particular, recent progress in understanding the implications of event-by-event fluctuations have…

Nuclear Theory · Physics 2011-11-14 Matthew Luzum

I review recent developments in the field of relativistic hydrodynamics and its application to the bulk dynamics in heavy-ion collisions at the Relativistic Heavy- Ion Collider (RHIC) and the Large Hadron Collider (LHC). In particular, I…

Nuclear Theory · Physics 2015-05-28 Bjoern Schenke

A review is given on recent experimental and theoretical/phenomenological developments regarding the phase structure of the strongly interacting matter. Specifically, evolution with the collision energy of net-proton number fluctuations as…

High Energy Physics - Phenomenology · Physics 2023-03-22 Anar Rustamov

The current status of the search for the critical end point on the lattice and in experiments is discussed. A naive extrapolation is given of lattice results on the location of the critical end point to the continuum limit with the correct…

Nuclear Experiment · Physics 2014-11-20 Sourendu Gupta

We report the latest results on the search for the QCD critical point in the QCD phase diagram through high energy heavy-ion collisions. The measurements discussed are based on the higher moments of the net-proton multiplicity distributions…

Nuclear Experiment · Physics 2021-01-25 Bedangadas Mohanty , Nu Xu

In this communication, we report results of three-dimensional hydrodynamic computations, by using equations of state with a critical end point as suggested by the lattice QCD. Some of the results are an increase of the multiplicity in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yogiro Hama , Rone P. G. Andrade , Frederique Grassi , Otavio Socolowski , Takeshi Kodama , Bernardo Tavares , S. S. Padula

One of the primary goals of nuclear physics is studying the phase diagram of Quantum Chromodynamics, where a hypothetical critical point serves as a landmark. A systematic model-data comparison of heavy-ion collisions at center-of-mass…

Nuclear Theory · Physics 2021-07-20 Lipei Du

We examine correlations of energy density induced by initial state fluctuations, which are localized in both transverse and longitudinal extent. The hotspots are evolved according to hydrodynamics in a background which includes radial flow.…

Nuclear Theory · Physics 2013-05-14 Todd Springer , Mikhail Stephanov

Recent developments aimed at mapping QCD phase diagram and the search for the QCD critical point in heavy-ion collisions are briefly reviewed.

Nuclear Theory · Physics 2024-10-07 Mikhail Stephanov

We present a fully dynamical model to study the chiral and deconfinement transition of QCD simultaneously. The quark degrees of freedom constitute a heat bath in local equilibrium for both order parameters, the sigma field and a dynamical…

Nuclear Theory · Physics 2014-05-28 Marcus Bleicher , Christoph Herold

Event-by-event hydrodynamics (or hydrodynamics with fluctuating initial conditions) has been developed in the past few years. Here we discuss how it may help to understand the various structures observed in two-particle correlations.

High Energy Physics - Phenomenology · Physics 2011-03-17 R. P. G. Andrade , F. Grassi , Y. Hama , W. -L. Qian

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

We have used second order relativistic hydrodynamics equipped with equation of state which includes the critical point to study the propagation of perturbation in a relativistic QCD fluid. Dispersion relation for the sound wave has been…

Nuclear Theory · Physics 2020-10-07 Md Hasanujjaman , Mahfuzur Rahaman , Abhijit Bhattacharyya , Jan-e Alam