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Related papers: Intermittency via Self-Similarity -- An Analytic E…

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We demonstrate that like in the forward cascade of three dimensional turbulence that displays intermittency (lack of self-similarity) due to the concentration of energy dissipation in a small set of fractal dimension less than three, the…

Fluid Dynamics · Physics 2022-06-07 George Sofiadis , Ioannis E. Sarris , Alexandros Alexakis

The problem of the effects of compressibility and large-scale anisotropy on anomalous scaling behavior is considered for two models describing passive advection of scalar density and tracer fields. The advecting velocity field is Gaussian,…

Chaotic Dynamics · Physics 2009-10-31 N. V. Antonov , Juha Honkonen

It is shown that statistical properties of developed hydrodynamic turbulence are characterized by an infinite set of independent anomalous exponents which describes the scaling behavior of hydrodynamic fields constructed from the second and…

chao-dyn · Physics 2008-02-03 Vladimir V. Lebedev , Victor S. L'vov

By means of three dimensional high-resolution hybrid simulations we study the properties of the magnetic field spectral anisotropies near and beyond ion kinetic scales. By using both a Fourier analysis and a local analysis based on…

Solar and Stellar Astrophysics · Physics 2019-04-18 Simone Landi , Luca Franci , Emanuele Papini , Andrea Verdini , Lorenzo Matteini , Petr Hellinger

Intermittency of energy dissipation has long been studied via high-order moments in homogeneous and isotropic turbulence, but not much where the boundary effects are explicitly included. Here, we derive two fundamental Reynolds number…

Fluid Dynamics · Physics 2025-12-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

Fundamental quantities of turbulent flows, such as the dissipation constant $C_\varepsilon$ and the intermittency factor $\mu$, are examined in relation to each other for a broader class of non-ideal turbulent flows. In the context of the…

Fluid Dynamics · Physics 2025-12-12 F. Schmitt , A. Fuchs , J. Peinke , M. Obligado

The field theoretic renormalization group and operator product expansion are applied to the problem of a passive scalar advected by the Gaussian nonsolenoidal velocity field with finite correlation time, in the presence of large-scale…

chao-dyn · Physics 2009-10-31 N. V. Antonov

In this paper, we consider a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. In the statistical stationary regime, the behaviour of the kinetic energy is characterised by…

Soft Condensed Matter · Physics 2022-02-16 Roberto Benzi , Ilaria Castaldi , Federico Toschi , Jeannot Trampert

We characterize the statistical and geometrical properties of the cyclone-anticyclone asymmetry in a statistically-steady forced rotating turbulence experiment. Turbulence is generated by a set of vertical flaps which continuously inject…

Fluid Dynamics · Physics 2021-07-27 Basile Gallet , Antoine Campagne , Pierre-Philippe Cortet , Frédéric Moisy

We establish anomalous inertial range scaling of structure functions for a model of advection of a passive scalar by a random velocity field. The velocity statistics is taken gaussian with decorrelation in time and velocity differences…

chao-dyn · Physics 2016-08-31 Krzysztof Gawedzki , Antti Kupiainen

Intermittency and anisotropy are two important aspects of plasma turbulence, which the solar wind provides a natural laboratory to investigate. However, their forms and nature are still under debate, making it difficult to achieve a…

Solar and Stellar Astrophysics · Physics 2025-05-21 Honghong Wu , Jiansen He , Liping Yang , Xin Wang , Shiyong Huang , Zhigang Yuan

It was shown recently that the anomalous scaling of simultaneous correlation functions in turbulence is intimately related to the breaking of temporal scale invariance, which is equivalent to the appearance of infinitely many times scales…

chao-dyn · Physics 2016-08-31 David Daems , Siegfried Grossmann , Victor S. L'vov , Itamar Procaccia

We establish exact inequalities for the structure-function scaling exponents of a passively advected scalar in both the inertial-convective and viscous-convective ranges. These inequalities involve the scaling exponents of the velocity…

chao-dyn · Physics 2009-10-28 Gregory L. Eyink

A hydrodynamic model of active, low Reynolds number suspensions, shows the emergence of an asymptotic state with a universal spectral scaling and non-Gaussian (intermittent) fluctuations in the velocity field. Such states arise when these…

Fluid Dynamics · Physics 2023-06-28 Siddhartha Mukherjee , Rahul K. Singh , Martin James , Samriddhi Sankar Ray

We find strong evidence for intermittency in forced two dimensional (2D) turbulence in a flowing soap film experiment. In the forward enstrophy cascade the structure function scaling exponents are nearly indistinguishable from 3D studies.…

Chaotic Dynamics · Physics 2007-05-23 W. Brent Daniel , Maarten A. Rutgers

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation…

Fluid Dynamics · Physics 2021-03-17 Nicolás P. Müller , Juan Ignacio Polanco , Giorgio Krstulovic

Whether turbulence intermittencies shall be described by a log-Poisson, a log-stable pdf or other distributions is still debated nowadays. In this paper, a bridge between polymer physics, self-avoiding walk and random vortex stretching is…

Fluid Dynamics · Physics 2015-05-14 Nicolas Rimbert

Turbulence is prevalent in nature and industry, from large-scale wave dynamics to small-scale combustion nozzle sprays. In addition to the multi-scale nonlinear complexity and both randomness and coherent structures in its dynamics,…

In the inertial range of fully developed turbulence, we model the vertex network dynamics by an iterated unimodular map having the universal behavior. Inertial range anomalous scaling for the pair correlation functions of the velocity and…

Chaotic Dynamics · Physics 2007-05-23 D. Volchenkov , R. Lima

In this paper we discuss the dynamical features of intermittent fluctuations in homogeneous shear flow turbulence. In this flow the energy cascade is strongly modified by the production of turbulent kinetic energy related to the presence of…

Chaotic Dynamics · Physics 2007-05-23 P. Gualtieri , C. M Casciola , R. Benzi , G. Amati , R. Piva
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