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First-order relativistic conformal hydrodynamics in a general (hydrodynamic) frame is characterized by a shear viscosity coefficient and two UV-regulator parameters. Within a certain range of these parameters, the equilibrium is stable and…

高能物理 - 理论 · 物理学 2023-12-12 Navid Abbasi , Ali Davody , Sara Tahery

We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the perturbations of the equilibrium state are stable. This…

高能物理 - 理论 · 物理学 2019-10-22 Pavel Kovtun

This work investigates variational frameworks for modeling stochastic dynamics in incompressible fluids, focusing on large-scale fluid behavior alongside small-scale stochastic processes. The authors aim to develop a coupled system of…

流体动力学 · 物理学 2025-03-21 Arnaud Debussche , Etienne Mémin

Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various…

统计力学 · 物理学 2016-12-23 Leila Shahsavar , Malihe Ghodrat , Afshin Montakhab

In this work, it has been indicated that the key features requisite for preserving causality and stability of the popularly existing relativistic hydrodynamic theories, can be translated into each other. It has been shown here, that a…

核理论 · 物理学 2024-08-29 Sayantani Bhattacharyya , Sukanya Mitra , Shuvayu Roy

For a freely evolving granular fluid, the buildup of spatial correlations in density and flow field is described using fluctuating hydrodynamics. The theory for incompressible flows is extended to the general, compressible case, including…

统计力学 · 物理学 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito

We propose an algorithm for simulating stochastic relativistic fluid dynamics based on Metropolis updates. Each step of the algorithm begins with an update based on ideal hydrodynamics. This is followed by proposing random (spatial)…

核理论 · 物理学 2025-02-05 Jay Bhambure , Rajeev Singh , Derek Teaney

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…

高能物理 - 唯象学 · 物理学 2016-08-15 Hans-Thomas Elze , Yogiro Hama , Takeshi Kodama , Martín Makler , Johann Rafelski

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…

概率论 · 数学 2013-03-19 Tadahisa Funaki , Makiko Sasada , Martin Sauer , Bin Xie

We discuss the concept of local thermodynamical equilibrium in relativistic hydrodynamics in flat spacetime in a quantum statistical framework without an underlying kinetic description, suitable for strongly interacting fluids. We show that…

高能物理 - 理论 · 物理学 2015-05-20 F. Becattini , L. Bucciantini , E. Grossi , L. Tinti

We introduce a three independent functions variational formalism for stationary and non-stationary barotropic flows. This is less than the four variables which appear in the standard equations of fluid dynamics which are the velocity field…

流体动力学 · 物理学 2020-02-14 Asher Yahalom , Donald Lynden-Bell

Construction, in the framework of a Nonequilibrium Statistical Ensemble Formalism, of a Mesoscopic Hydro-Thermodynamics, that is, covering phenomena involving motion displaying variations short in space and fast in time -unrestricted values…

流体动力学 · 物理学 2012-10-30 C. A. B. Silva , J. G. Ramos , A. R. Vasconcellos , R. Luzzi

The classical theory of Brownian dynamics follows from coarse-graining the underlying linearized fluctuating hydrodynamics of the solvent. We extend this procedure to globally non-isothermal conditions, requiring only a local thermal…

统计力学 · 物理学 2016-04-06 G. Falasco , K. Kroy

We obtain the equations of fluctuating hydrodynamics for many-particle systems whose microscopic units have both translational and rotational motion. The orientational dynamics of each element are studied in terms of the rotational Brownian…

统计力学 · 物理学 2025-01-20 Akira Yoshimori , Shankar P. Das

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…

高能物理 - 唯象学 · 物理学 2010-03-02 Paul Romatschke

The generalized method of characteristics is used to obtain rank-2 solutions of the classical equations of hydrodynamics in (3+1) dimensions describing the motion of a fluid medium in the presence of gravitational and Coriolis forces. We…

数学物理 · 物理学 2017-03-17 A. M. Grundland , V. Lamothe

We present a numerical method to solve the equations of general relativistic hydrodynamics in a given external gravitational field. The method is based on a generalization of Roe's approximate Riemann solver for the non relativistic Euler…

天体物理学 · 物理学 2007-05-23 Frits Eulderink , Garrelt Mellema

The classical equations of irrotational water waves have recently been reformulated as a system of two equations, one of which is an explicit non-local equation for the wave height and for the velocity potential evaluated on the free…

偏微分方程分析 · 数学 2011-08-01 Anthony C. L Ashton , A. S. Fokas

We investigate the relativistic cosmological hydrodynamic perturbations. We present the general large scale solutions of the perturbation variables valid for the general sign of three space curvature, the cosmological constant, and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. Hwang , H. Noh

We investigate the linearized stability and causality properties of relativistic viscous superfluid hydrodynamics. The Landau-Lifshitz-Clark-Putterman formulation for the theory of relativistic viscous superfluids suffers from the same…

高能物理 - 理论 · 物理学 2025-04-28 Raphael E. Hoult , Ashish Shukla