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A principle of maximum entropy is proposed in the context of viscous incompressible flow in Eulerian coordinates. The relative entropy functional, defined over the space of $L^2$ divergence-free velocity fields, is maximized relative to…

流体动力学 · 物理学 2024-02-23 Gui-Qiang G. Chen , James Glimm , Hamid Said

In this paper, we find a new large scale instability displayed by a stratified rotating flow in forced turbu- lence. The turbulence is generated by a small scale external force at low Reynolds number. The theory is built on the rigorous…

流体动力学 · 物理学 2013-11-13 Anatoly Tur , Malik Chabane , Vladimir Yanovsky

The transitional and well-developed regimes of turbulent shear flows exhibit a variety of remarkable scaling laws that are only now beginning to be systematically studied and understood. In the first part of this article, we summarize…

流体动力学 · 物理学 2017-01-04 Nigel Goldenfeld , Hong-Yan Shih

We study the effect of surface texture on an overlying turbulent flow for textures made of an alternating slip/no-slip pattern, a common model for superhydrophobic surfaces, but also a particularly simple form of texture. For texture sizes…

流体动力学 · 物理学 2024-12-18 Wenxiong Xie , Chris T Fairhall , Ricardo García-Mayoral

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

物理与社会 · 物理学 2026-03-24 Lei Dong

The separating and reattaching turbulent flow past a rectangular cylinder is studied to describe how small and large scales contribute to the sustaining mechanism of the velocity fluctuations. The work is based on the Anisotropic…

流体动力学 · 物理学 2022-08-24 Alessandro Chiarini , Davide Gatti , Andrea Cimarelli , Maurizio Quadrio

We study the probability of arbitrary density profiles in conserving diffusive fields which are driven by the boundaries. We demonstrate the existence of singularities in the large-deviation functional, the direct analog of the free-energy…

统计力学 · 物理学 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

In order to address the difficulties of classical fluid kinematics in describing vorticity and the paradox of linear correlation between viscous force and vorticity in the Navier-Stokes equations, the study examines the inherent…

经典物理 · 物理学 2024-08-08 Peng Shi

We present a stochastic turbulence generator based on a vorticity formulation where the generated turbulent field implicitly fulfills the kinematic constraints of an incompressible flow. The generator allows direct access to the turbulent…

流体动力学 · 物理学 2017-02-09 Mads Mølholm Hejlesen , Jens Honore Walther

We analyse the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterised by universal scaling exponents in the inertial…

统计力学 · 物理学 2022-12-02 Abhik Basu , Jayanta K Bhattacharjee

We investigate quantum turbulence in a two-dimensional trapped supersolid and demonstrate that both the wave and vortex turbulence involve triple rather than dual cascades, as in a superfluid. Because of the presence of a second gapless…

量子气体 · 物理学 2017-05-05 C. -H. Hsueh , Y. -C. Tsai , T. -L. Horng , M. Tsubota , W. C. Wu

The inverse cascade in two-dimensional hydrodynamic turbulence exhibits a mysterious phenomenon. Numerical simulations have shown that the nodal isolines of certain scalars actively transported in the flow (eg, the vorticity in…

高能物理 - 理论 · 物理学 2025-05-16 Christopher Eling

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

流体动力学 · 物理学 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

Stationary states of Navier-Stokes fluids have been proposed to be described equivalently by several alternative equations, besides the NS equation itself. In particular equivalence between the NS evolution and a reversible. It is natural…

统计力学 · 物理学 2020-06-30 Giovanni Gallavotti

We construct an ensemble of two-dimensional nonintegrable quantum circuits that are chaotic but have a conserved particle current, and thus a finite Drude weight. The long-wavelength hydrodynamics of such systems is given by the…

统计力学 · 物理学 2025-06-11 Hansveer Singh , Ewan McCulloch , Sarang Gopalakrishnan , Romain Vasseur

Using a Lattice Boltzmann hydrodynamic computational modeler to simulate relativistic fluid systems we explore turbulence in two-dimensional relativistic flows. We first a give a pedagogical description of the phenomenon of turbulence and…

强关联电子 · 物理学 2022-05-11 Mark Watson

In this paper, we consider turbulence from a geometric perspective based on the vorticity equations for incompressible viscous fluid flows. We derive several quantitative statements about the statistics of turbulent flows. In particular we…

偏微分方程分析 · 数学 2021-01-29 Jiawei Li , Zhongmin Qian

In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows and present recent achievements in the understanding of this problem. The transition is abrupt with laminar-turbulent coexistence over a finite…

流体动力学 · 物理学 2016-04-05 Paul Manneville

Dissipation anomaly-the persistence of finite energy dissipation in the inviscid limit-is a hallmark of turbulence, sometimes regarded as the "zeroth law" of turbulent flows. Here, we demonstrate that this phenomenon is not exclusive to…

统计力学 · 物理学 2025-11-25 Hiroyoshi Nakano , Yuki Minami

A theory of non-homogeneous turbulence is developed and is applied to boundary-free shear flows. The theory introduces assumptions of inner and outer similarity for the non-homogeneity of two-point statistics and predicts power law scalings…

流体动力学 · 物理学 2022-03-14 Jiangang Chen , John Christos Vassilicos