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A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability…

斑图形成与孤子 · 物理学 2009-11-07 V. V. Mekhonoshin , Adrian Lange

In order to understand the conditions which lead a highly magnetized, relativistic plasma to become unstable, and in such cases how the plasma evolves, we study a prototypical class of magnetostatic equilibria where the magnetic field…

高能天体物理现象 · 物理学 2015-08-31 William E. East , Jonathan Zrake , Yajie Yuan , Roger D. Blandford

In this article, we study the stability and large time behavior for an multi-dimensional incompressible magnetohydrodynamical system with a velocity damping term, for small perturbations near a steady-state of magnetic field fulfilling the…

偏微分方程分析 · 数学 2025-12-30 Hui Fang , Pingping Gui , Yanping Zhou

The presence of magnetic fields in many astrophysical objects is due to dynamo action, whereby a part of the kinetic energy is converted into magnetic energy. A turbulent dynamo that produces magnetic field structures on the same scale as…

星系天体物理 · 物理学 2020-03-19 Amit Seta , Paul J. Bushby , Anvar Shukurov , Toby S. Wood

The linear and nonlinear evolution of magnetic reconnection in collisionless high-temperature plasmas with a strong guide field is analyzed on the basis of a two-dimensional gyrofluid model. The linear growth rate of the reconnecting…

等离子体物理 · 物理学 2015-02-20 Luca Comisso , Daniela Grasso , François L. Waelbroeck , Dario Borgogno

The ABC flow is a prototype for fast dynamo action, essential to the origin of magnetic field in large astrophysical objects. Probably the most studied configuration is the classical 1:1:1 flow. We investigate its dynamo properties varying…

流体动力学 · 物理学 2015-06-05 Ismaël Bouya , Emmanuel Dormy

This study considers the linear stability of Poiseuille-Rayleigh-B\'enard flows, subjected to a transverse magnetic field to understand the instabilities that arise from the complex interaction between the effects of shear, thermal…

流体动力学 · 物理学 2017-09-01 Tony Vo , Gregory J. Sheard , Alban Pothérat

The growth rate of the dynamo instability as a function of the magnetic Reynolds number Rm is investigated by means of numerical simulations for the family of the ABC flows and for 2 different forcing scales. For the ABC flows that are…

流体动力学 · 物理学 2015-05-28 Alexandros Alexakis

If a magnetic field normal to the surface of a magnetic fluid is increased beyond a critical value a spontaneous deformation of the surface arises (normal field instability). The instability is subcritical and leads to peaks of a…

patt-sol · 物理学 2016-09-08 Thomas Mahr , Ingo Rehberg

Magnetic field generation in three-dimensional Rayleigh-B\'enard convection of an electrically conducting fluid is studied numerically by fixing the Prandtl number at $P=0.3$ and varying the Rayleigh number (Ra) as a control parameter. A…

流体动力学 · 物理学 2017-10-11 R. Chertovskih , E. L. Rempel , E. V. Chimanski

This paper is a detailed report on a programme of simulations used to settle a long-standing issue in the dynamo theory and demonstrate that the fluctuation dynamo exists in the limit of large magnetic Reynolds number Rm>>1 and small…

Consider a semimartingale reflecting Brownian motion (SRBM) $Z$ whose state space is the $d$-dimensional nonnegative orthant. The data for such a process are a drift vector $\theta$, a nonsingular $d\times d$ covariance matrix $\Sigma$, and…

概率论 · 数学 2010-09-30 Maury Bramson , J. G. Dai , J. M. Harrison

Kinematic dynamo in incompressible isotropic turbulent flows with high magnetic Prandtl number is considered. The approach interpreting an arbitrary magnetic field distribution as a superposition of localized perturbations (blobs) is…

流体动力学 · 物理学 2023-10-26 A. S. Il'yn , A. V. Kopyev , V. A. Sirota , K. P. Zybin

We study the dynamo instability for a Kazantsev-Kraichnan flow with three velocity components that depends only on two-dimensions u = (u(x, y, t), v(x, y, t), w(x, y, t)) often referred to as 2.5 dimensional (2.5D) flow. Within the…

流体动力学 · 物理学 2016-11-03 K. Seshasayanan , A. Alexakis

We consider the magnetorotational instability (MRI) of a hydrodynamically stable Taylor-Couette flow with a helical external magnetic field in the inductionless approximation defined by a zero magnetic Prandtl number ($\Pm=0)$. This leads…

流体动力学 · 物理学 2008-11-26 J. Priede , I. Grants , G. Gerbeth

This paper investigates stochastic solenoidal magnetohydrodynamics within the field-theoretic Martin-Siggia-Rose-De Dominicis-Janssen formalism, with a specific focus on the stability of the system when spatial mirror (parity) symmetry is…

等离子体物理 · 物理学 2026-04-03 Michal Hnatič , Tomáš Lučivjanský , Lukáš Mižišin , Yurii Molotkov , Andrei Ovsiannikov

The present study is concerned with the stability of a flow of viscous conducting liquid driven by pressure gradient in the channel between two parallel walls subject to a transverse magnetic field. Although the magnetic field has a strong…

流体动力学 · 物理学 2014-12-04 Jonathan Hagan , Jānis Priede

We consider the stability of a configuration consisting of a vertical magnetic field in a planar flow on elliptical streamlines in ideal hydromagnetics. In the absence of a magnetic field the elliptical flow is universally unstable (the…

天体物理学 · 物理学 2009-11-10 Norman R. Lebovitz , Ellen G. Zweibel

The linear marginal instability of an MHD Taylor-Couette flow of infinite vertical extension is considered. For hydrodynamically unstable flows the minimum Reynolds number exists even without a magnetic field, but there are also solutions…

天体物理学 · 物理学 2016-08-16 G. Rüdiger

Long-range magnetostatic interaction between wires strongly depends on their spatial position. This interaction, combined with applied tensile stress, influences the hysteresis loop of the system of wires through the stress dependence of…

材料科学 · 物理学 2007-05-23 P. Gawronski , A. Chizhik , J. M. Blanco , K. Kulakowski