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Quantum fluctuation expression of the baryon number for a subsystem consisting of hot relativistic spin-$\frac{1}{2}$ particles are derived. These fluctuations seems to diverge in the limit where system size goes to zero. For a broad range…

Nuclear Theory · Physics 2021-11-30 Rajeev Singh

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

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

Statistical Mechanics · Physics 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

We introduce a new universal framework describing fluctuations and correlations in quantum and classical many-body systems, at the Euler hydrodynamic scale of space and time. The framework adapts the ideas of the conventional macroscopic…

Statistical Mechanics · Physics 2023-10-04 Benjamin Doyon , Gabriele Perfetto , Tomohiro Sasamoto , Takato Yoshimura

We propose a mechanism to produce fluctuations in the viscosity parameter ($\alpha$) in differetially rotating discs. We carried out a nonlinear analysis of a general accretion flow, where any perturbation on the background $\alpha$ was…

High Energy Astrophysical Phenomena · Physics 2015-06-17 S. R. Rajesh , Nishant K. Singh

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

We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter. Fracton phases are characterized by elementary excitations (fractons) with restricted mobility. The hydrodynamic…

Strongly Correlated Electrons · Physics 2020-07-29 Andrey Gromov , Andrew Lucas , Rahul M. Nandkishore

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 extend the derivation of second-order relativistic viscous hydrodynamics to incorporate the effects of baryon current, a non-vanishing chemical potential, and a realistic equation of state. Starting from a microscopic quantum theory, we…

High Energy Physics - Phenomenology · Physics 2024-12-10 Asaad Daher , Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

We show that relativistic fluids behave as non-Newtonian fluids. First, we discuss the problem of acausal propagation in the diffusion equation and introduce the modified Maxwell-Cattaneo-Vernotte (MCV) equation. By using the modified MCV…

High Energy Physics - Phenomenology · Physics 2015-05-20 Tomoi Koide

We investigate the transport properties of open quantum chaotic systems in the semiclassical limit. We show how the transmission spectrum, the conductance fluctuations, and their correlations are influenced by the underlying chaotic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ph. Jacquod , E. V. Sukhorukov

We study the fluctuations and correlations of conserved charges, i.e. the baryon number, electric charge and the strangeness at finite temperature and nonzero baryon chemical potential with an effective model. The fluctuations are…

High Energy Physics - Phenomenology · Physics 2010-10-27 Wei-jie Fu , Yue-liang Wu

In this paper, we introduce a freeze-out scheme for the dynamical models near the QCD critical point through coupling the decoupled classical particles with the order parameter field. With a modified distribution function that satisfies…

Nuclear Theory · Physics 2016-09-14 Lijia Jiang , Pengfei Li , Huichao Song

We describe a numerical method for simulating stochastic fluid dynamics near a critical point in the Ising universality class. This theory is known as model H, and is expected to govern the non-equilibrium dynamics of Quantum Chromodynamics…

Nuclear Theory · Physics 2025-03-31 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir V. Skokov

We formulate equations for the slow time dynamics of fluid motion that self consistently account for the effects of the variability upon the mean. The time-average effects of the fluctuations introduce nonlinear dispersion that acts to…

chao-dyn · Physics 2009-10-31 Darryl D. Holm

Critical phenomena arise ubiquitously in various context of physics, from condensed matter, high energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point.…

Statistical Mechanics · Physics 2020-07-15 Ryo Hanai , Peter B. Littlewood

A formula to calculate the quantum fluctuations of energy in small subsystems of a hot and relativistic gas is derived. We find an increase in fluctuations for subsystems of small sizes, but we agrees with the energy fluctuations in the…

Nuclear Theory · Physics 2021-10-08 Rajeev Singh

We study charged hydrodynamics in a periodic lattice background. Fluctuations are Bloch waves rather than single momentum Fourier modes. At boundaries of the unit cell where hydrodynamic fluctuations are formally degenerate with their…

Strongly Correlated Electrons · Physics 2024-01-24 Nicolas Chagnet , Koenraad Schalm

We study a large deviation functional of density fluctuation by analyzing stochastic non-linear diffusion equations driven by the difference between the densities fixed at the boundaries. By using a fundamental equality that yields the…

Statistical Mechanics · Physics 2009-11-13 Shin-ichi Sasa

In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional 14-moment approximation is that we will not…

Nuclear Theory · Physics 2015-06-04 G. S. Denicol , H. Niemi , E. Molnar , D. H. Rischke