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Related papers: Non-Gaussian fluctuation dynamics in relativistic …

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We consider non-equilibrium evolution of non-Gaussian fluctuations in a hydrodynamic system undergoing a boost-invariant expansion described by Bjorken flow. We derive the evolution equations for two- and three-point velocity correlators…

High Energy Physics - Theory · Physics 2026-05-01 Gokce Basar , Shuo Song

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 derive deterministic equations for the evolution of non-Gaussian fluctuations in relativistic stochastic hydrodynamics. This is achieved by defining the average local Landau frame and corresponding fluctuating hydrodynamic variables.…

Nuclear Theory · Physics 2026-04-16 Xin An , Gokce Basar , Mikhail Stephanov

In the context of the search for the QCD critical point using non-Gaussian fluctuations, we obtain the evolution equations for non-Gaussian cumulants to the leading order of the systematic expansion in the magnitude of thermal fluctuations.…

High Energy Physics - Theory · Physics 2021-09-13 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

A quantitatively reliable theoretical description of the dynamics of fluctuations in non-equilibrium is indispensable in the experimental search for the QCD critical point by means of ultra-relativistic heavy-ion collisions. In this work we…

Nuclear Theory · Physics 2019-06-26 Marlene Nahrgang , Marcus Bluhm , Thomas Schaefer , Steffen A. Bass

We derive a coupled set of equations that describe the non-equilibrium evolution of cumulants of critical fluctuations for space-time trajectories on the cross-over side of the QCD phase diagram. In particular, novel expressions are…

High Energy Physics - Phenomenology · Physics 2015-09-30 Swagato Mukherjee , Raju Venugopalan , Yi Yin

The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

Nuclear Theory · Physics 2020-11-25 Marlene Nahrgang , Marcus Bluhm

To describe dynamics of bulk and fluctuations near the QCD critical point we develop general relativistic fluctuation formalism for a fluid carrying baryon charge. Feedback of fluctuations modifies hydrodynamic coefficients including bulk…

High Energy Physics - Theory · Physics 2020-09-09 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

We show that the three-point skewness of concentration fluctuations is non-vanishing in free liquid diffusion, even in the limit of vanishingly small mean concentration gradients. We exploit a high-Schmidt reduction of nonlinear…

Statistical Mechanics · Physics 2026-03-12 Marco Bussoletti , Mirko Gallo , Amir Jafari , Gregory L. Eyink

We analyze the evolution of hydrodynamic fluctuations in a heavy ion collision as the system passes close to the QCD critical point. We introduce two small dimensionless parameters $\lambda$ and $\Delta_s$ to characterize the evolution.…

Nuclear Theory · Physics 2019-10-09 Yukinao Akamatsu , Derek Teaney , Fanglida Yan , Yi Yin

The state-of-the-art theoretical formalism for a covariant description of non-Gaussian fluctuation dynamics in relativistic fluids is discussed.

High Energy Physics - Theory · Physics 2024-03-01 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established in \cite{FS}, for the dynamics of two-dimensional Young diagrams associated with the uniform and restricted uniform statistics, and…

Probability · Mathematics 2013-03-19 Tadahisa Funaki , Makiko Sasada , Martin Sauer , Bin Xie

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

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…

In this work, we present a model-independent method to quantify the non-Gaussian fluctuations in the observable distributions, which are assessed by the difference between the measured observable distributions and reconstructed observable…

Nuclear Theory · Physics 2025-04-01 Xinyu Wang , Xiang Chen , Junping Yang , Ying Cui , Zhuxia Li , Kai Zhao , Yingxun Zhang

The evolution of non-hydrodynamic slow processes near the QCD critical point is explored with the novel Hydro+ framework, which extends the conventional hydrodynamic description by coupling it to additional explicitly evolving slow modes…

Nuclear Theory · Physics 2020-12-01 Lipei Du , Ulrich Heinz , Krishna Rajagopal , Yi Yin

For the understanding of fluctuation measurements in heavy-ion collisions it is crucial to develop quantitatively reliable dynamical descriptions which take the non-perturbative nature of QCD near the phase transition into account. We…

High Energy Physics - Phenomenology · Physics 2019-02-20 M. Bluhm , Y. Jiang , M. Nahrgang , J. M. Pawlowski , F. Rennecke , N. Wink

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

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
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