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In this thesis, we study the critical dynamics near the QCD critical point. Near the critical point, the relevant modes for the critical dynamics are identified as the hydrodynamic modes. Thus, we first study the linear dynamics of them by…

High Energy Physics - Phenomenology · Physics 2012-02-23 Yuki Minami

The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach…

High Energy Physics - Phenomenology · Physics 2024-10-08 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

Motivated by the fact that QCD critical point (CP) belongs to the same universality class as the liquid-gas transition, the dynamical density fluctuations around the CP is analyzed using relativistic fluid dynamics for a viscous fluid. It…

Nuclear Theory · Physics 2014-11-20 Teiji Kunihiro , Yuki Minami

The dynamical density fluctuations around QCD critical point (CP) are analyzed using relativistic dissipative fluid dynamics, and we show that the sound mode around the QCD CP is strongly attenuated whereas the thermal fluctuation stands…

High Energy Physics - Phenomenology · Physics 2009-11-18 Teiji Kunihiro , Yuki Minami , Kyosuke Tsumura

Second-order phase transitions in a non-equilibrium liquid-gas model with reversible mode couplings, i.e., model H for binary-fluid critical dynamics, are studied using dynamic field theory and the renormalization group. The system is…

Statistical Mechanics · Physics 2015-06-24 Jaime E. Santos , Uwe C. Tauber

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model H, the conjectured dynamic universality class of the QCD critical point. We emphasize the…

High Energy Physics - Phenomenology · Physics 2025-02-27 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

Statistical Mechanics · Physics 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

We apply the functional renormalization-group (FRG) equation to analyze the nature of the QCD critical point beyond the mean-field approximation by taking into consideration the fact that the soft mode associated with the QCD critical point…

High Energy Physics - Phenomenology · Physics 2014-01-29 K. Kamikado , T. Kunihiro , K. Morita , A. Ohnishi

In the chiral limit the complicated many-body dynamics around the second-order chiral phase transition of two-flavor QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional…

High Energy Physics - Phenomenology · Physics 2024-03-08 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which…

High Energy Physics - Phenomenology · Physics 2022-09-28 Wei-jie Fu

In this work, we calculate the dynamic density correlations using Mori-Zwanzig-Nakajima projection operator method. With a judicious choice of slow variables we derive the evolution equations for these slow variables starting from…

Nuclear Theory · Physics 2022-08-02 Guruprasad Kadam

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model G and H, which are the conjectured dynamic universality classes of the two-flavor chiral…

High Energy Physics - Phenomenology · Physics 2025-10-01 Yunxin Ye , Johannes V. Roth , Sören Schlichting , Lorenz von Smekal

We develop a comprehensive Renormalization Group (RG) approach to criticality in open Floquet systems, where dissipation enables the system to reach a well-defined Floquet steady state of finite entropy, and all observables are synchronized…

Statistical Mechanics · Physics 2020-10-13 Steven Mathey , Sebastian Diehl

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 calculate the relaxational dynamical critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry including conservation of magnetization by renormalization group (RG) theory within the minimal subtraction scheme in two loop…

Statistical Mechanics · Physics 2009-11-13 R. Folk , Yu. Holovatch , G. Moser

We use field theoretic renormalization group methods to study the critical behavior of a recently proposed Langevin equation for driven lattice gases under infinitely fast drive. We perform an expansion around the upper critical dimension,…

Condensed Matter · Physics 2007-05-23 F. de los Santos , Miguel A. Muñoz

We show that the synchronization transition of a large number of noisy coupled oscillators is an example for a dynamic critical point far from thermodynamic equilibrium. The universal behaviors of such critical oscillators, arranged on a…

Statistical Mechanics · Physics 2011-09-22 Thomas Risler , Jacques Prost , Frank Julicher

A generalized Langevin equation with quantum baths (QMD) for thermal transport is derived with the help of nonequilibrium Green's function (NEGF) formulation. The exact relationship of the quasi-classical approximation to NEGF is…

Mesoscale and Nanoscale Physics · Physics 2009-12-23 Jian-Sheng Wang , Xiaoxi Ni , Jin-Wu Jiang

The purpose of this paper is twofold. Firstly, we study the dynamical density fluctuations around the critical point(CP) of Quantum Chromodynamics(QCD) using dissipative relativistic fluid dynamics in which the coupling of the density…

High Energy Physics - Theory · Physics 2010-03-12 Y. Minami , T. Kunihiro

We use field theoretic renormalization group methods to study the critical behavior of a recently proposed Langevin equation for driven lattice gases under infinitely fast drive. We perform an expansion around the upper critical dimension,…

Statistical Mechanics · Physics 2009-10-31 F. de los Santos , Miguel A. Munoz
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