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We investigate the interaction of magnetohydrodynamic waves with plasma density inhomogeneities. Our numerical study of the full MHD equations shows that: (A) Plasma density inhomogeneities are a source of non-linear generation of…

Astrophysics · Physics 2007-05-23 D. Tsiklauri , V. M. Nakariakov , T. D. Arber

Interaction of impulsively generated MHD waves with a one-dimensional plasma inhomogeneity, transverse to the magnetic field, is considered in the three-dimensional regime. Because of the transverse inhomogeneity, MHD fluctuations, even if…

Astrophysics · Physics 2009-11-07 D. Tsiklauri , V. M. Nakariakov

The interaction of a weakly nonlinear Alfv\'enic pulse with an Alfv\'en speed inhomogeneity in the direction perpendicular to the magnetic field is investigated. Identically to the phase mixing experienced by a harmonic Alfv\'en wave, sharp…

Astrophysics · Physics 2009-11-07 D. Tsiklauri , T. D. Arber , V. M. Nakariakov

A new mechanism for the enhanced generation of compressible fluctuations by Alfven waves is presented. A strongly nonlinear regime of Alfven wave phase-mixing is numerically simulated in a one-dimensionally inhomogeneous plasma of finite…

Astrophysics · Physics 2007-05-23 V. M. Nakariakov , D. Tsiklauri , T. D. Arber

Turbulence in astrophysical and space plasmas is dominated by the nonlinear interaction of counterpropagating Alfven waves. Most Alfven wave turbulence theories have been based on ideal plasma models, such as incompressible MHD, for Alfven…

In the previous works harmonic, phase-mixed, Alfven wave dynamics was considered both in the kinetic and magnetohydrodynamic regimes. Up today only magnetohydrodynamic, phase-mixed, Gaussian Alfven pulses were investigated. In the present…

Solar and Stellar Astrophysics · Physics 2017-01-03 D. Tsiklauri

It is often asserted or implicitly assumed, without justification, that the results of two-dimensional investigations of plasma turbulence are applicable to the three-dimensional plasma environments of interest. A projection method is…

Solar and Stellar Astrophysics · Physics 2019-02-20 Gregory G. Howes

Large-amplitude Alfv\'en waves are ubiquitous in space plasmas and a main component of magnetohydrodynamic (MHD) turbulence in the heliosphere. As pump waves they are prone to parametric instability by which they can generate cyclotron and…

Plasma Physics · Physics 2012-01-16 Eckart Marsch , Daniel Verscharen

We study the evolution of non-linear circularly polarised Alfven waves by solving numerically the time-dependent equations of magnetohydrodynamics (MHD) in one dimension. We examine the behaviour of the waves and find that different…

Astrophysics · Physics 2009-11-10 Rim Turkmani , Ulf Torkelsson

In this paper, we study the weakly-compressive high-frequency plasma waves which are superposed on a large-amplitude Alfv\'en wave in a multi-fluid plasma consisting of protons, electrons, and alpha particles. For these waves, the plasma…

Plasma Physics · Physics 2012-01-16 Daniel Verscharen , Eckart Marsch

The aim of the present study is to shed light on the effects connected with thermal misbalance due to non-equal cooling and heating rates induced by density and temperature perturbations in solar active regions hosting either propagating…

Solar and Stellar Astrophysics · Physics 2022-07-21 S. A. Belov , S. Vasheghani Farahani , N. E. Molevich

The multi-fluid modelling of high-frequency waves in partially ionized plasmas has shown that the behavior of magnetohydrodynamics waves in the linear regime is heavily influenced by the collisional interaction between the different species…

Solar and Stellar Astrophysics · Physics 2018-04-04 David Martínez-Gómez , Roberto Soler , Jaume Terradas

When magnetic energy density is much larger than that of matter, as in pulsar/black hole magnetospheres, the medium becomes force-free and we need relativity to describe it. As in non-relativistic magnetohydrodynamics (MHD), Alfv\'enic MHD…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Jungyeon Cho , A. Lazarian

The propagation of linear Alfv\'en wave pulses in an inhomogeneous plasma near a 2D coronal null point is investigated. When a uniform plasma density is considered, it is seen that an initially planar Alfv\'en wavefront remains planar,…

Solar and Stellar Astrophysics · Physics 2014-07-08 J. A. McLaughlin

Turbulence in space and astrophysical plasmas is governed by the nonlinear interactions between counterpropagating Alfven waves. Here we present the theoretical considerations behind the design of the first laboratory measurement of an…

Solar and Stellar Astrophysics · Physics 2015-06-16 G. G. Howes , K. D. Nielson , D. J. Drake , J. W. R. Schroeder , F. Skiff , C. A. Kletzing , T. A. Carter

We analyse nonlinear evolution of torsional Alfv\'en waves in a straight magnetic flux tube filled in with a low-$\beta$ plasma, and surrounded with a plasma of lower density. Such magnetic tubes model, in particular, a segment of a coronal…

Solar and Stellar Astrophysics · Physics 2017-05-09 S. V. Shestov , V. M. Nakariakov , A. S. Ulyanov , A. A. Reva , S. V. Kuzin

The nonlinear interaction between counterpropagating Alfven waves is the physical mechanism underlying the cascade of energy to small scales in astrophysical plasma turbulence. Beginning with the equations for incompressible MHD, an…

Solar and Stellar Astrophysics · Physics 2015-06-16 Gregory G. Howes , Kevin D. Nielson

We investigate the behaviour of nonlinear, nonideal Alfv\'en wave propagation within an inhomogeneous magnetic environment. The governing MHD equations are solved in 1D and 2D using both analytical techniques and numerical simulations. We…

Solar and Stellar Astrophysics · Physics 2015-03-18 J. A. McLaughlin , I. De Moortel , A. W. Hood

We demonstrate that in highly magnetized pair plasmas, nonlinear Alfven waves with wave-number $k \leq k_0 = \omega_p^2 /(\delta \omega_B)$ ($\delta =( \delta B)/B_0$ are relative fluctuations of the magnetic field) experience powerful…

High Energy Astrophysical Phenomena · Physics 2026-05-05 Maxim Lyutikov

Large-amplitude Alfv\'en waves are subject to parametric decays which can have important consequences in space, astrophysical, and fusion plasmas. Though the Alfv\'en wave parametric decay instability was predicted decades ago,…

Plasma Physics · Physics 2022-10-12 Feiyu Li , Xiangrong Fu , Seth Dorfman
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