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The Sun, aside from its eleven year sunspot cycle is additionally subject to long term variation in its activity. In this work we analyse a solar-like convective dynamo simulation, containing approximately 60 magnetic cycles, exhibiting…

太阳与恒星天体物理 · 物理学 2017-10-11 Frederick A. Gent , Maarit J. Käpylä , Jörn Warnecke

A fundamental problem in plasma physics, space science, and astrophysics is the transport of energetic particles interacting with stochastic magnetic fields. In particular the motion of particles across a large scale magnetic field is…

空间物理 · 物理学 2015-08-26 Andreas Shalchi

Starting from classical transport theory, we derive a set of covariant equations describing the dynamics of mean fields and their statistical fluctuations in a non-Abelian plasma in or out of equilibrium. A general procedure is detailed for…

高能物理 - 唯象学 · 物理学 2009-10-31 Daniel F. Litim , Cristina Manuel

We study statistical properties of turbulent inverse cascades in a class of nonlinear models describing a scalar field transported by a two-dimensional incompressible flow. The class is characterized by a linear relation between the…

统计力学 · 物理学 2010-12-20 G. Falkovich , S. Musacchio

The Kolmogorov-Zakharov spectrum predicted by the Weak Turbulence Theory remains elusive for wave turbulence of flexural waves at the surface of an thin elastic plate. We report a direct measurement of the nonlinear timescale $T_{NL}$…

混沌动力学 · 物理学 2015-06-03 Benjamin Miquel , Nicolas Mordant

We re-examine the nature of the turbulent magnetic diffusivity tensor of mean field electrodynamics and show that an inconsistency arises if it is calculated via consideration of time-independent magnetic fields. Specifically, the predicted…

太阳与恒星天体物理 · 物理学 2010-01-14 David W. Hughes , Michael R. E. Proctor

Supernova remnants are expected to contain braided (or stochastic) magnetic fields, which are in some regions directed mainly perpendicular to the shock normal. For particle acceleration due to repeated shock crossings, the transport in the…

天体物理学 · 物理学 2007-05-23 U. D. J. Gieseler , J. G. Kirk

We consider the movement of a particle advected by a random flow of the form $\vv+\delta \bF(\vx)$, with $\vv\in\R^d$ a constant drift, $\bF(\vx)$ -- the fluctuation -- given by a zero mean, stationary random field and $\delta\ll 1$ so that…

混沌动力学 · 物理学 2015-06-26 Tomasz Komorowski , Lenya Ryzhik

Using the test-field method for nearly irrotational turbulence driven by spherical expansion waves it is shown that the turbulent magnetic diffusivity increases with magnetic Reynolds numbers. Its value levels off at several times the rms…

星系天体物理 · 物理学 2010-11-05 Axel Brandenburg , Fabio Del Sordo

Evidence for non-Fickian diffusion of a passive scalar is presented using direct simulations of homogeneous isotropic turbulence. The results compare favorably with an explicitly time-dependent closure model based on the tau approximation.…

天体物理学 · 物理学 2009-11-10 Axel Brandenburg , Petri Käpylä , Amjed Mohammed

The nonlinear coefficients defining the mean electromotive force (i.e., the nonlinear turbulent magnetic diffusion, the nonlinear effective velocity, the nonlinear kappa-tensor, etc.) are calculated for an anisotropic turbulence. A…

天体物理学 · 物理学 2009-11-07 I. Rogachevskii , N. Kleeorin

The possibility to derive an equation for the mean velocity field in turbulent flow by using classical statistical mechanics is investigated. An application of projection operator technique available in the literature is used for this…

经典物理 · 物理学 2007-05-23 J. Piest

Aims: We determine the components of the $\Lambda$-effect tensor that quantifies the contributions to the turbulent momentum transport even for uniform rotation. Methods: Three-dimensional numerical simulations are used to study turbulent…

天体物理学 · 物理学 2008-08-22 P. J. Käpylä , A. Brandenburg

The stochastic advection of low energy deuterium ions is studied in a three dimensional realistic turbulence model in conditions relevant for current tokamak fusion experiments. The diffusion coefficients are calculated starting from the…

等离子体物理 · 物理学 2017-07-28 A. Croitoru

We investigate dynamo action in global compressible solar-like convective dynamos in the framework of mean-field theory. We simulate a solar-type star in a wedge-shaped spherical shell, where the interplay between convection and rotation…

太阳与恒星天体物理 · 物理学 2018-01-17 Jörn Warnecke , Matthias Rheinhardt , S. Tuomisto , Petri J. Käpylä , Maarit J. Käpylä , Axel Brandenburg

Dynamical random walk of classical particle in thermodynamically equilibrium fluctuating medium, - Gaussian random potential field, - is considered in the framework of explicit stochastic representation of deterministic interactions. We…

统计力学 · 物理学 2013-02-05 Yu. E. Kuzovlev

From Liouville's equation, a phase-space multi-scale transport equation is systematically derived. The proposed phase-space multi-scale transport equation based on the first principle indicates that the nonlinear stochastic transport is due…

等离子体物理 · 物理学 2014-01-14 Shaojie Wang

It has long been known that weakly nonlinear field theories can have a late-time stationary state that is not the thermal state, but a wave turbulent state with a far-from-equilibrium cascade of energy. We go beyond the existence of the…

统计力学 · 物理学 2024-03-26 Vladimir Rosenhaus , Michael Smolkin

Virtually, all existing theoretical works on turbulent poloidal momentum transport are based on quasilinear theory. Nonlinear poloidal momentum flux - $\langle \tilde{v}_r \tilde{n} \tilde{v}_{\theta} \rangle$ is universally neglected.…

等离子体物理 · 物理学 2016-08-24 Lu Wang , Tiliang Wen , P. H. Diamond

The diffusion of uni-directional magnetic fields by two dimensional turbulent flows in a weakly ionized gas is studied. The fields here are orthogonal to the plane of fluid motion. This simple model arises in the context of the decay of the…

天体物理学 · 物理学 2009-11-07 Eun-jin Kim , P. H. Diamond