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This paper presents results of a theoretical investigation of transport in a numerical model of a two-dimensional Kolmogorov flow. We investigate the changes in its mixing properties associated with transition from laminar regime to…

Chaotic Dynamics · Physics 2012-12-13 Radford Mitchell , Roman O. Grigoriev

It is most natural to assume that mysterious Small Ionized and Neutral Structures (SINS) indiffuse ISM arise from turbulence. There are two obvious problem with such an explanation, however. First of all, it is generally believed that at…

Astrophysics · Physics 2007-05-23 A. Beresnyak , A. Lazarian

Whether the Anderson localization can survive from the weak enough nonlinear interaction is still an open question. In this Letter, we study the effect of nonlinear interaction on disordered chain based on the wave turbulence theory. It is…

Statistical Mechanics · Physics 2020-10-13 Wang Zhen , Fu Weicheng , Zhang Yong , Zhao Hong

Many scaling relations are observed for self-gravitating systems in the universe. We explore the consistent understanding of them from a simple principle based on the proposal that the collision-less dark matter fluid terns into a turbulent…

Astrophysics · Physics 2010-02-04 Akika Nakamichi , Masahiro Morikawa

We present a detailed study of the statistics of a system of diffusing aggregating particles with a steady monomer source. We emphasise the case of low spatial dimensions where strong diffusive fluctuations invalidate the mean-field…

Statistical Mechanics · Physics 2009-11-11 Colm Connaughton , R. Rajesh , Oleg Zaboronski

In the standard cascade picture of 3D turbulent fluid flows, energy is input at a constant rate at large scales. Energy is then transferred to smaller scales by an intermittent process that has been the focus of a vast literature. However,…

Fluid Dynamics · Physics 2015-06-16 Chen-Chi Chien , Daniel B. Blum , Greg A. Voth

The understanding of turbulent flows is one of the biggest current challenges in physics, as no first-principles theory exists to explain their observed spatio-temporal intermittency. Turbulent flows may be regarded as an intricate…

Fluid Dynamics · Physics 2021-12-08 Juan Ignacio Polanco , Nicolás P. Müller , Giorgio Krstulovic

The problems with explaining the Small Ionized and Neutral Structures (SINS) appealing to turbulence stem from inefficiency of the Kolmogorov cascade in creating large fluctuations at sufficiently small scales. However, other types of…

Astrophysics · Physics 2007-05-23 A. Lazarian

In experimental study of very high Reynolds number turbulence, we found evidences that there are distinguished vortex structures in the intermediate range, that is, between the Kolmogorov and Taylor microscales, where they are indeed…

Fluid Dynamics · Physics 2007-05-23 S. I. Vainshtein

We study the dynamics of a Bose-Einstein condensate in a Sinai-oscillator trap under a monochromatic driving force. Such a trap is formed by a harmonic potential and a repulsive disk located in the center vicinity corresponding to the first…

Quantum Gases · Physics 2017-08-04 Leonardo Ermann , Eduardo Vergini , Dima L. Shepelyansky

We consider the phase coherent transport of a quasi one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow identified in [T. Paul et al., Phys. Rev.…

Quantum Gases · Physics 2009-09-18 T. Paul , M. Albert , P. Schlagheck , P. Leboeuf , N. Pavloff

The steady state of the model of cluster aggregation with deposition is characterized by a constant flux of mass directed from small masses towards large masses. It can therefore be studied using phenomenological theories of turbulence,…

Statistical Mechanics · Physics 2009-11-10 Colm Connaughton , R. Rajesh , Oleg Zaboronski

A novel model of wave turbulence is presented which allows to explain in the same frame various nonlinear wave phenomena: intermittency, form and direction of the energy cascades, formation of a zero-frequency band with non-zero energy,…

Mathematical Physics · Physics 2015-03-19 E. Kartashova

An exact result concerning the energy transfers between non-linear waves of thin elastic plate is derived. Following Kolmogorov's original ideas in hydrodynamical turbulence, but applied to the F\"oppl-von K\'arm\'an equation for thin…

Statistical Mechanics · Physics 2018-02-07 Gustavo Düring , Giorgio Krstulovic

We consider the steady state statistics of turbulence in general classes of dissipative hydrodynamic equations, where the fluctuations are sustained by a random source concentrated at large scales. It is well known that in some particular…

High Energy Physics - Theory · Physics 2010-10-28 Itzhak Fouxon , Yaron Oz

We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained…

Fluid Dynamics · Physics 2009-11-11 A. Alexakis , P. D. Mininni , A. Pouquet

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…

Fluid Dynamics · Physics 2022-08-24 Alessandro Chiarini , Davide Gatti , Andrea Cimarelli , Maurizio Quadrio

Large-scale structure formation can be modeled as a nonlinear process that transfers energy from the largest scales to successively smaller scales until it is dissipated, in analogy with Kolmogorov's cascade model of incompressible…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Jose Gaite

In turbulent flows, the Kolmogorov wavenumber characterizes the smallest scales at which viscous effects dominate. A mathematical analogue of this notion first introduced by Foias and Prodi [8] -- a determining wavenumber -- quantifies the…

Analysis of PDEs · Mathematics 2026-04-14 Hassan Babaei , Mimi Dai

Remarkably, even under negligible inertia, the addition of microstructural agents can generate chaotic flow fields. Such behavior can arise in polymer solutions, leading to elastic turbulence, or from active, self-driven particles, which…

Fluid Dynamics · Physics 2026-01-15 Vedad Dzanic , Sumesh P. Thampi , Julia M. Yeomans