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Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

高能物理 - 理论 · 物理学 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

Large scale molecular dynamics simulations of freely decaying turbulence in three-dimensional space are reported. Fluid components are defined from the microscopic states by eliminating thermal components from the coarse-grained fields. The…

统计力学 · 物理学 2014-03-14 Teruhisa S. Komatsu , Shigenori Matsumoto , Takashi Shimada , Nobuyasu Ito

We use the Dyson-Wyld diagrammatic technique to analyze the infinite series for the correlation functions of the velocity in the hydrodynamic turbulence. We demonstrate the fundamental role played by the triple correlator of the velocity in…

流体动力学 · 物理学 2023-08-01 Yuri V. Lvov , Victor S. L'vov

We study the statistical correlation functions for the three-dimensional hydrodynamic turbulence onset when the dynamics is dominated by the pancake-like high-vorticity structures. With extensive numerical simulations, we systematically…

流体动力学 · 物理学 2022-12-09 D. S. Agafontsev , E. A. Kuznetsov , A. A. Mailybaev

We generalize (linearized) relativistic hydrodynamics by including all order gradient expansion of the energy momentum tensor, parametrized by four momenta-dependend transport coefficients, one of which is the usual shear viscosity. We then…

高能物理 - 唯象学 · 物理学 2010-05-28 Michael Lublinsky , Edward Shuryak

We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom,…

核理论 · 物理学 2023-02-21 Caio V. P. de Brito , Gabriel S. Denicol

We propose an alternative formulation for the exact relations in three-dimensional homogeneous turbulence using two-point statistics. Our finding is illustrated with incompressible hydrodynamic, standard and Hall magnetohydrodynamic…

流体动力学 · 物理学 2016-12-21 Supratik Banerjee , Sebastien Galtier

We build on recent developments in the study of fluid turbulence [Gibbon \textit{et al.} Nonlinearity 27, 2605 (2014)] to define suitably scaled, order-$m$ moments, $D_m^{\pm}$, of $\omega^\pm= \omega \pm j$, where $\omega$ and $j$ are,…

流体动力学 · 物理学 2016-05-27 J. D. Gibbon , A. Gupta , G. Krstulovic , R. Pandit , H. Politano , Y. Ponty , A. Pouquet , G. Sahoo , J. Stawarz

Starting from the microscopic description of a normal fluid in terms of any kind of local interacting many-particle theory we present a well defined step by step procedure to derive the hydrodynamic equations for the macroscopic phenomena.…

统计力学 · 物理学 2022-02-10 Rudolf Haussmann

The goal of this work is apply field theory methods to discuss turbulence in relativistic real fluids. We shalltake as representtive model an Israel-Stewart framework, where the conservation laws for the energy-momentum tensor are…

流体动力学 · 物理学 2026-05-26 Esteban Calzetta

An alternative method is suggested for the description of the velocity and pressure fields in an unbounded incompressible viscous fluid induced by an arbitrary number of spheres moving and rotating in it. Within the framework of this…

流体动力学 · 物理学 2007-05-23 P. P. J. M. Schram , A. S. Usenko , I. P. Yakimenko

The breaking of detailed balance, the symmetry between forward and backward probability transition between two states, is crucial to understand irreversible systems. In hydrodynamic turbulence, a far-from equilibrium system, we observe a…

The thermodynamics of an electrically charged, multicomponent fluid with spontaneous electric dipoles and magnetic moments is analysed in the presence of electromagnetic fields. Taking into account the chemical composition of the current…

统计力学 · 物理学 2015-06-15 Sylvain D. Brechet , Jean-Philippe Ansermet

We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases,…

等离子体物理 · 物理学 2025-01-29 Etele Molnár , Dirk H. Rischke

In this paper we systematically derive a fourth-order continuum theory capable of reproducing mesoscale turbulence in a three-dimensional suspension of microswimmers. We start from overdamped Langevin equations for a generic microscopic…

软凝聚态物质 · 物理学 2018-06-28 Henning Reinken , Sabine H. L. Klapp , Markus Bär , Sebastian Heidenreich

We compute the dispersion relations for scalar, vector and tensor modes of a viscous relativistic fluid, linearized around an equilibrium solution, for a divergence type theory (which, in the linearized theory, includes Israel-Stewart and…

高能物理 - 唯象学 · 物理学 2021-11-17 Guillermo Perna , Esteban Calzetta

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

高能物理 - 理论 · 物理学 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

To help resolve issues of non-realizability and restriction to homogeneity faced by analytical theories of turbulence, we explore three-dimensional homogeneous shear turbulence of incompressible Newtonian fluids via optimal control and…

流体动力学 · 物理学 2020-09-01 Luoyi Tao

Inspired by the work in Ref.[1], which considers the additional second-order contributions arising from nonlocal corrections due to two-point correlation functions of tensors of different ranks at distinct spacetime points, we similarly…

核理论 · 物理学 2025-05-15 Duan She , Yi-Wei Qiu , Ze-Fang Jiang , Defu Hou

Moment closures of the Vlasov-Amp{\`e}re system, whereby higher moments are represented as functions of lower moments with the constraint that the resulting fluid system remains Hamiltonian, are investigated by using water-bag theory. The…

等离子体物理 · 物理学 2015-09-30 M. Perin , Cristel Chandre , P. J. Morrison , E. Tassi
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