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Additive noise in Partial Differential equations, in particular those of fluid mechanics, has relatively natural motivations. The aim of this work is showing that suitable multiscale arguments lead rigorously, from a model of fluid with…

概率论 · 数学 2022-05-12 Franco Flandoli , Umberto Pappalettera

Passive scalar transport in a spatially-extended background of roll convection is considered in the time-periodic regime. The latter arises due to the even oscillatory instability of the cell lateral boundary, here accounted for by…

chao-dyn · 物理学 2009-10-31 P. Castiglione , R. Festa , A. Mazzino

In an experiment on a turbulent jet, we detect interfacial turbulent layers in a frame that moves, on average, along with the \tnti. This significantly prolongs the observation time of scalar and velocity structures and enables the…

流体动力学 · 物理学 2025-06-09 Ali R Khojasteh , Lyke K van Dalen , Coen Been , Jerry Westerweel , Willem van de Water

We consider the effects of a shear on velocity fluctuations in a flow. The shear gives rise to a transient amplification that not only influences the amplitude of perturbations but also their time correlations. We show that, in the presence…

混沌动力学 · 物理学 2009-11-10 Bruno Eckhardt , Rahul Pandit

When turbulent convection interacts with a turbulent shear flow, the cores of convective cells become aligned with the mean current, and these cells (which span the height of the domain) may interact with motions closer to the solid…

流体动力学 · 物理学 2025-04-09 Andrew P. Grace , David H. Richter

Origin of linear instability resulting in rotating sheared accretion flows has remained a controversial subject for long. While some explanations of such non-normal transient growth of disturbances in the Rayleigh stable limit were…

高能天体物理现象 · 物理学 2015-06-23 Sujit Kumar Nath , Amit K. Chattopadhyay

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement(or…

统计力学 · 物理学 2019-02-20 Bing Wang , Xiaoxiao Zhang , Yajuan Sun , Zhongwei Qu , Xuechao Li

The effect of oscillatory shear flows on turbulent transport of passive scalar fields is studied by numerical computations based on the results provided by E. Kim [\emph{Physics of Plasmas}, {\bf 13}, 022308, 2006]. Turbulent diffusion is…

等离子体物理 · 物理学 2009-11-13 A. P. L. Newton , E. Kim

We study a minimal shell model for the advection of a passive scalar by a Gaussian time correlated velocity field. The anomalous scaling properties of the white noise limit are studied analytically. The effect of the time correlations are…

chao-dyn · 物理学 2009-10-31 K. H. Andersen , P. Muratore-Ginanneschi

Spontaneous stochasticity is a modern paradigm for turbulent transport at infinite Reynolds numbers. It suggests that tracer particles advected by rough turbulent flows and subject to additional thermal noise, remain non-deterministic in…

流体动力学 · 物理学 2023-06-21 André Luís Peixoto Considera , Simon Thalabard

First passage time experiments were used to explore the effects of low amplitude noise as a source of accelerated phase space diffusion in two-dimensional Hamiltonian systems, and these effects were then compared with the effects of…

天体物理学 · 物理学 2009-10-31 Ilya V. Pogorelov , Henry E. Kandrup

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

介观与纳米尺度物理 · 物理学 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

We investigate the large-scale statistics of a passive scalar transported by a turbulent velocity field. At scales larger than the characteristic lengthscale of scalar injection, yet smaller than the correlation length of the velocity, the…

混沌动力学 · 物理学 2009-11-11 Antonio Celani , Agnese Seminara

Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the nonlinear dynamics across the scales, they are often…

流体动力学 · 物理学 2025-03-19 Lukas Bentkamp , Michael Wilczek

We study nonlinear wave equations perturbed by transport noise acting either on the displacement or on the velocity. Such noise models random advection and, under suitable scaling of space covariance, may generate an effective dissipative…

概率论 · 数学 2026-01-07 Chang Liu , Dejun Luo

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

流体动力学 · 物理学 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

The counterintuitive emergence of order from noise is a central phenomenon in science, ranging from pattern formation and synchronization to order-by-disorder in frustrated systems. While large-scale spatial self-organization induced by…

软凝聚态物质 · 物理学 2026-02-02 Satyam Anand , Guanming Zhang , Stefano Martiniani

We use an acoustic Lagrangian tracking technique, particularly adapted to measurements in open flows, and a versatile material particles generator (in the form of soap bubbles with adjustable size and density) to characterize Lagrangian…

流体动力学 · 物理学 2009-11-13 Nauman M. Qureshi , Mickael Bourgoin , Christophe Baudet , Alain Cartellier , Yves Gagne

The commonly used quasilinear approximation allows one to calculate the turbulent transport coefficients for the mean of a passive scalar or a magnetic field in a given velocity field. Formally, the quasilinear approximation is exact when…

流体动力学 · 物理学 2025-02-06 G. Kishore , Nishant K. Singh

We present a conformal theory for intermittent scalar fields. As an example, we consider the energy flux from large to small scales in the developed turbulent flow. The conformal correlation functions are found in the inertial range of…

混沌动力学 · 物理学 2007-05-23 G. A. Kuzmin
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