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In this work, we generalise linear magnetohydrodynamic (MHD) stability theory to include equilibrium pressure anisotropy in the fluid part of the analysis. A novel 'single-adiabatic' (SA) fluid closure is presented which is complementary to…

Plasma Physics · Physics 2015-10-29 M. Fitzgerald , M. J. Hole , Z. S. Qu

Neutral beam injection or ion cyclotron resonance heating induces pressure anisotropy. The axisymmetric plasma equilibrium code HELENA has been upgraded to include anisotropy and toroidal flow. With both analytical and numerical methods, we…

Plasma Physics · Physics 2015-02-10 Zhisong Qu , Michael Fitzgerald , Matthew John Hole

We report on the impact of anisotropy to tokamak plasma configuration and stability. Our focus is on analysis of the impact of anisotropy on ITER pre-fusion power operation 5~MA, $B=1.8$~T ICRH scenarios. To model ITER scenarios remapping…

Plasma Physics · Physics 2020-01-22 M. J. Hole , Z. Qu , S. Pinches , M. Schneider , I. L. Arbina , M. J. Mantsinen , O. Sauter

We derive a sufficient condition for the linear stability of plasma equilibria with incompressible flow parallel to the magnetic field, $\bf B$, constant mass density and anisotropic pressure such that the quantity $\sigma_d=…

Plasma Physics · Physics 2020-06-24 A. Evangelias , G. N. Throumoulopoulos

The stabilization of ``rigid'' flute and ballooning modes $m = 1$ in an axisymmetric mirror trap with the help of an ideally conducting lateral both in the presence and in the absence of end MHD anchors is studied. The calculations were…

Plasma Physics · Physics 2023-01-10 Igor Kotelnikov , Vadim Prikhodko , Dmitri Yakovlev

Circular cross-section plasma is the most basic form of tokamak plasma and the fundamental configuration for magnetic confinement fusion experiments. Based on the HL-2A limiter discharge experiments, the magnetohydrodynamic (MHD)…

Plasma Physics · Physics 2026-01-19 SHEN Yong , DONG Jiaqi , SHI Zhongbing , HE Hongda , ZHAO Kaijun , PENG Xiaodong , QU Hongpeng , LI Jia , SUN Aiping

In this Master thesis we investigate the influence of pressure anisotropy and incompressible flow of arbitrary direction on the equilibrium properties of magnetically confined, axisymmetric toroidal plasmas. The main novel contribution is…

Plasma Physics · Physics 2016-08-16 Achilleas Evangelias

Pressure anisotropy can strongly influence the dynamics of weakly collisional, high-beta plasmas, but its effects are missed by standard magnetohydrodynamics (MHD). Small changes to the magnetic-field strength generate large…

High Energy Astrophysical Phenomena · Physics 2023-07-10 Jonathan Squire , Matthew W Kunz , Lev Arzamasskiy , Zade Johnston , Eliot Quataert , Alexander A Schekochihin

Accurate modeling of core instabilities in tokamak plasmas is essential to understand the underlying physical mechanisms and their impact on plasma confinement. The ideal stability of the internal kink mode and the m = 1 collisionless…

Effects of anisotropy on the geodesic acoustic mode (GAM) is analyzed by using gyro-kinetic equations applicable to low-frequency microinstabilities in a toroidally rotating tokamak plasma. Dispersion relation in the presence of arbitrary…

Plasma Physics · Physics 2015-03-05 Haijun Ren

The MHD stabilization of ``rigid'' flute and ballooning modes with azimuthal number $m = 1$ in an axisymmetric mirror trap by means of a perfectly conducting lateral wall is studied both in the presence and in the absence of the end MHD…

Plasma Physics · Physics 2023-06-19 Igor Kotelnikov

In the first part we present a review of our results concerning the weakly nonlinear regime of the mirror instability in the framework of an asymptotic model. This model belongs to the class of gradient type systems for which the free…

Plasma Physics · Physics 2015-02-02 E. A. Kuznetsov , T. Passot , V. P. Ruban , P. L. Sulem

We have developed a new global eigenvalue code, Multiscale Analysis for plasma Stabilities (MAS), for studying plasma problems with wave toroidal mode number n and frequency omega in a broad range of interest in general tokamak geometry,…

Plasma Physics · Physics 2023-06-14 Jian Bao , Wenlu Zhang , Ding Li , Zhihong Lin , Ge Dong , Chang Liu , Huasheng Xie , Guo Meng , Junyi Cheng , Chao Dong , Jintao Cao

Using the transport equations for an ideal anisotropic collisionless plasma derived from the Vlasov equation by the 16-moment method, we analyse the influence of pressure anisotropy exhibited by collisionless magnetized plasmas on the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 M. S. Nakwacki , J. Peralta-Ramos

We present a linear stability analysis of the perturbation modes in anisotropic MHD flows with velocity shear and strong magnetic field. Collisionless or weakly collisional plasma is described within the 16-momentum MHD fluid closure model,…

Solar and Stellar Astrophysics · Physics 2015-12-09 E. S. Uchava , B. M. Shergelashvili , A. G. Tevzadze , S. Poedts

A 2D nonlinear model for the electrical potential in the edge plasma in a tokamak generates a stiff problem due to the low resistivity in the direction parallel to the magnetic field lines. An asymptotic-preserving method based on a…

Numerical Analysis · Mathematics 2014-07-07 Philippe Angot , Thomas Auphan , Olivier Guès

Energetic particle (EP) driven instabilities will be of strongly increased relevance in future burning plasmas as the EP pressure will be very large compared to the thermal plasma. Understanding the interaction of EPs and bulk plasma is…

Plasma Physics · Physics 2022-12-14 T. J. Bogaarts , M. Hoelzl , G. T. A. Huijsmans , X. Wang

Kappa distributions are ubiquitous in space and astrophysical poorly collisional plasmas, such as the solar wind, suggesting that microscopic and macroscopic properties of these non-equilibrium plasmas are highly conditioned by the…

Plasma Physics · Physics 2020-12-04 Pablo S. Moya , Marian Lazar , Stefaan Poedts

Axisymmetric ($m=0$) gyrokinetic and extended-MHD simulations of sheared-flow Z-pinch plasma are performed with the high-order finite volume code COGENT. The present gyrokinetic model solves the long-wavelength limit of the gyrokinetic…

Plasma Physics · Physics 2020-11-06 V. I. Geyko , J. R. Angus , M. A. Dorf

We study the stability of large amplitude, circularly polarized Alfv\'en waves in an anisotropic plasma described by the double-adiabatic/CGL closure, and in particular the effect of a background thermal pressure anisotropy on the…

Space Physics · Physics 2017-12-27 Anna Tenerani , Marco Velli , Petr Hellinger
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