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Dynamical mean-field theory (DMFT) provides an optimal local approximation for correlated lattice systems by mapping the lattice onto a self-consistent effective impurity model. To account for the missing long-range correlations, we propose…

强关联电子 · 物理学 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

Combined action of helical motions of plasma (the $\alpha$ effect) and non-uniform (differential) rotation is a key dynamo mechanism of solar and galactic large-scale magnetic fields. Dynamics of magnetic helicity of small-scale fields is a…

太阳与恒星天体物理 · 物理学 2022-09-20 N. Kleeorin , I. Rogachevskii

A weak fluctuating magnetic field embedded into a turbulent conducting medium grows exponentially while its characteristic scale decays. In the ISM and protogalactic plasmas, the magnetic Pr is very large, so a broad spectrum of growing…

天体物理学 · 物理学 2008-11-26 Alexander Schekochihin , Steven Cowley , Jason Maron , Leonid Malyshkin

After reviewing the variational approach to splitting mean flow and fluctuation kinetics in the standard Vlasov theory, the same method is applied to the drift-kinetic equation from Littlejohn's theory of guiding-center motion. This process…

等离子体物理 · 物理学 2020-03-05 Cesare Tronci

The existence of a weak galactic magnetic field has been repeatedly confirmed by observational data. The origin of this field has not as yet been explained in a fully satisfactory way and represents one of the main challenges of the…

天体物理学 · 物理学 2009-11-06 Alexander Schekochihin , Stanislav Boldyrev , Russell Kulsrud

We analyze direct numerical simulations of large-scale dynamos in inhomogeneous nonhelically driven rotating turbulence with and without shear. The forcing is modulated so that the turbulent intensity peaks in the middle of the…

等离子体物理 · 物理学 2025-05-02 Axel Brandenburg , Ethan T. Vishniac

We reveal and analyze an efficient magnetic dynamo action due to precession-driven hydrodynamic turbulence in the local model of a precessional flow, focusing on the kinematic stage of this dynamo. The growth rate of magnetic field…

流体动力学 · 物理学 2024-05-08 V. Kumar , F. Pizzi , G. Mamatsashvili , A. Giesecke , F. Stefani , A. J. Barker

We study the possibility to reproduce the statistical relations of the sunspot activity cycle, like the so-called Waldmeier relations, the cycle period - amplitude and the cycle rise rate - amplitude relations, by means of the mean field…

太阳与恒星天体物理 · 物理学 2015-05-30 V. V. Pipin , D. D. Sokoloff

A quantum mechanical model is used to derive a generalized Landau-Lifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The…

材料科学 · 物理学 2009-11-07 A. Rebei , G. J. Parker

The current understanding of astrophysical magnetic fields is reviewed, focusing on their generation and maintenance by turbulence. In the astrophysical context this generation is usually explained by a self-excited dynamo, which involves…

天体物理学 · 物理学 2008-11-26 Axel Brandenburg , Kandaswamy Subramanian

By following the Kazantsev theory and taking into account both microscopic and turbulent diffusion of magnetic fields, we develop a unified treatment of the kinematic and nonlinear stages of turbulent dynamo, and study the dynamo process…

星系天体物理 · 物理学 2016-12-28 Siyao Xu , A. Lazarian

We study a fully connected Hopfield-type associative memory network with online activity-dependent synaptic plasticity, where neural states and synaptic couplings coevolve during retrieval. Using the generating-functional formalism, we…

无序系统与神经网络 · 物理学 2026-05-22 Yoshinori Hara , Yoshiyuki Kabashima

We investigate the structure of magnetic field amplified by turbulent velocity fluctuations, in the framework of the kinematic Kazantsev-Kraichnan model. We consider Kolmogorov distribution of velocity fluctuations, and assume that both…

天体物理学 · 物理学 2010-01-15 Leonid Malyshkin , Stanislav Boldyrev

Recent works have reported on the collective behavior of multiphase systems under fractional flow. Such behavior has been linked to pressure and/or flux fluctuations under stationary flow conditions that occur over a broad range of…

流体动力学 · 物理学 2025-02-18 Dick Bedeaux , Signe Kjelstrup , Steffen Berg , Umar Alfazazi , Ryan T. Armstrong

Using the magnetohydrodynamic (MHD) description, we develop a nonlinear dynamo model that couples the evolution of the large scale magnetic field with turbulent dynamics of the plasma at small scale by electromotive force (e.m.f.) in the…

地球与行星天体物理 · 物理学 2011-09-29 Giuseppina Nigro , Pierlugi Veltri

We argue that magnetic flux-conservation in turbulent plasmas at high magnetic Reynolds numbers neither holds in the conventional sense nor is entirely broken, but instead is valid in a novel statistical sense associated to the "spontaneous…

等离子体物理 · 物理学 2013-05-29 Gregory L. Eyink

Time-irreversible stochastic processes are frequently used in natural sciences to explain non-equilibrium phenomena and to design efficient stochastic algorithms. Our main goal in this thesis is to analyse their dynamics by means of large…

概率论 · 数学 2021-09-21 Mikola C. Schlottke

We add the $\alpha-$ effect in the dynamo driven accretion disk model proposed by Tout & Pringle (1992), i.e., a dynamo model depends on the physical processes such as Parker instability, Balbus-Hawley instability, magnetic field…

天体物理学 · 物理学 2007-05-23 Chun-yu Ma , Peter L Biermann

Accretion disc turbulence along with its effect on large-scale magnetic fields plays an important role in understanding disc evolution in general, and the launching of astrophysical jets in particular. Motivated by enabling a comprehensive…

高能天体物理现象 · 物理学 2022-04-06 Oliver Gressel , Martin E. Pessah

The small-scale kinematic dynamo in a two-dimensional chaotic flow is studied. The analytic approach is developed in framework of the Kraichnan-Kazantsev model. It is shown that the growth of magnetic field $\bm{B}$ fluctuations stops at…

混沌动力学 · 物理学 2016-03-30 Igor Kolokolov