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The correlation theory of the thermal hydrodynamic fluctuations of liquids with internal spin within a spherical cavity is developed. For the hydrodynamic fields of such a liquid, linearized equations with random thermal sources are used.…

Soft Condensed Matter · Physics 2007-05-23 T. Yu. Tchesskaya , V. Lisy , A. V. Zatovsky

I summarize our recent work towards finding and utilizing analytic solutions of relativistic hydrodynamic. In the first part I discuss various exact solutions of the second-order conformal hydrodynamics. In the second part I compute flow…

High Energy Physics - Phenomenology · Physics 2016-11-23 Yoshitaka Hatta

In relativistic heavy-ion collisions, properties of the initial state and effects arising during evolution of the medium, such as a transition between the hadronic and partonic phases, should reflect themselves in event-by-event…

High Energy Physics - Phenomenology · Physics 2019-04-05 Igor Altsybeev

We investigate the impact of hydrodynamic fluctuations on correlation functions in a scale invariant fluid with a conserved $U(1)$ charge. The kinetic equations for the two-point functions of pressure, momentum and heat energy densities are…

High Energy Physics - Theory · Physics 2019-07-09 M. Martinez , Thomas Schaefer

We derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

Statistical Mechanics · Physics 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

A brief overview of the current status of hydrodynamic concepts applied to ultra relativistic heavy-ion collisions is presented. Special emphasis is placed on future prospects for extracting the thermodynamic properties and the bulk…

Nuclear Theory · Physics 2009-11-10 Peter F. Kolb

The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable…

High Energy Physics - Phenomenology · Physics 2016-08-15 Hans-Thomas Elze , Yogiro Hama , Takeshi Kodama , Martín Makler , Johann Rafelski

A generalized hydrodynamic theory that systematically incorporates elasticity and viscoelasticity had been derived about a quarter of a century ago. It is based on a strictly Euler point of view, as is natural for hydrodynamics. We used and…

Classical Physics · Physics 2025-05-16 Andreas M. Menzel

Thermodynamics is usually developed starting from entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example in the context of local…

Statistical Mechanics · Physics 2020-11-17 Stefan Floerchinger , Tobias Haas

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations.…

High Energy Physics - Theory · Physics 2021-06-16 Aristomenis Donos , Christiana Pantelidou , Vaios Ziogas

The problem of structure formation in relativistic dissipative fluids was analyzed in a previous work within Eckart's framework, in which the heat flux is coupled to the hydrodynamic acceleration, additional to the usual temperature…

General Relativity and Quantum Cosmology · Physics 2015-06-03 J. H. Mondragon-Suarez , A. Sandoval-Villalbazo , A. L. Garcia-Perciante

We present a new solution of relativistic hydrodynamics in 1+3 dimensions which depends on both the transverse coordinate and rapidity. At early times the flow expands dominantly longitudinally in a non-boost-invariant manner, and at late…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yoshitaka Hatta , Bo-Wen Xiao , Di-Lun Yang

Relativistic non-ideal fluid dynamics is formulated in 3+1 space--time dimensions. The equations governing dissipative relativistic hydrodynamics are given in terms of the time and the 3-space quantities which correspond to those familiar…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

We show that it is possible to define a timelike future-directed information current within relativistic first-order hydrodynamics. This constitutes the first step toward a covariantly stable and causal formulation of first-order…

Nuclear Theory · Physics 2024-04-18 Lorenzo Gavassino , Nick Abboud , Enrico Speranza , Jorge Noronha

The current knowledge about fluctuation - induced long - ranged forces is summarized. Reference is made in particular to fluids near critical points, for which some new insight has been obtained recently. Where appropiate, results of…

Statistical Mechanics · Physics 2009-10-31 M. Krech

Recent and ongoing improvements to hydrodynamic treatments at RHIC are extending the physics reach of hydrodynamics, and improving the phenomenology. Here, the links between technological improvements and the extension of physics are…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

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

Shock wave solutions in anisotropic relativistic hydrodynamics are considered. A new phenomenon of anisotropy-related angular deflection of the incident flow by the shock wave front is described. Patterns of velocity and momentum…

Nuclear Theory · Physics 2022-05-18 Aleksandr Kovalenko , Andrey Leonidov

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the…

Nuclear Theory · Physics 2014-08-06 Amaresh Jaiswal

We formulate a general theory of thermal fluctuations within causal second-order viscous hydrodynamic evolution of matter formed in relativistic heavy-ion collisions. The fluctuation is treated perturbatively on top of a boost-invariant…

Nuclear Theory · Physics 2018-05-16 Chandrodoy Chattopadhyay , Rajeev S. Bhalerao , Subrata Pal
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