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A theoretical treatment is presented of kinetic equilibria in accretion discs around compact objects, for cases where the plasma can be considered as collisionless. The plasma is assumed to be axi-symmetric and to be acted on by…

Plasma Physics · Physics 2015-05-18 Claudio Cremaschini , John C. Miller , Massimo Tessarotto

A new approach to high pressure magnetically-confined plasmas is necessary to design efficient fusion devices. This paper presents an equilibrium combining two solutions of the Grad-Shafranov equation, which describes the…

Plasma Physics · Physics 2009-11-13 P. -A. Gourdain , S. C. Cowley , J. -N. Leboeuf

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

Equations describing plasma equilibria are derived from the total energy of the system. The MHD equilibrium is shown to hold even for systems where the magnetic field may locally vanish. Through conservation of helicity, confinement is…

Plasma Physics · Physics 2019-06-20 John Hedditch

We construct the low-frequency formulation of the turbulence characterizing the plasma in a Tokamak edge. Under rather natural assumptions we demonstrate that, even in the presence of poloidal magnetic fluctuations, it is possible to deal…

Plasma Physics · Physics 2024-07-02 Giovanni Montani , Fabio Moretti

The macroscale structure and microscale fluctuation statistics of late-time asymptotic steady state flows in cylindrical geometries is studied using the methods of equilibrium statistical mechanics. The axisymmetric assumption permits an…

Fluid Dynamics · Physics 2019-06-05 Peter B. Weichman

Observations and numerical simulations of laboratory and space plasmas in almost collisionless regimes reveal anisotropic and non-gyrotropic particle distribution functions. We investigate how such states can persist in the presence of a…

Plasma Physics · Physics 2015-08-19 S. S. Cerri , F. Pegoraro , F. Califano , D. Del Sarto , F. Jenko

The effect of magnetic turbulence in shaping the current density in axisymmetric magnetized plasma is analyzed using a turbulent extension of Ohm's law derived from the self-consistent action-angle transport theory. Besides the well-known…

Plasma Physics · Physics 2017-08-02 Ilija Chavdarovski , Renato Gatto

This study examines the stability of Vlasov equilibrium solutions for magnetically confined plasmas, derived through the principle of maximum entropy. By treating the toroidal limit as a perturbation from an analytical cylindrical solution,…

Plasma Physics · Physics 2025-12-23 Aurélien Cordonnier , Yohann Lebouazda , Xavier Leoncini , Guilhem Dif-Pradalier

We investigate self-consistent, steady-state axisymmetric solutions of incompressible tokamak plasma using a visco-resistive magnetohydrodynamic model. A key contribution of this work is the formulation of Poisson's equation that governs…

Plasma Physics · Physics 2025-07-29 Anna Krupka , Marie-Christine Firpo

The stellarator as a concept of magnetic confinement fusion requires careful design to confine particles effectively. A design possibility is to equip the magnetic field with a property known as quasisymmetry. Though it is generally…

Plasma Physics · Physics 2022-02-03 Eduardo Rodriguez , Amitava Bhattacharjee

The physical mechanism responsible for driving accretion flows in astrophysical accretion disks is commonly thought to be related to the development of plasma instabilities and turbulence. A key question is therefore the determination of…

High Energy Astrophysical Phenomena · Physics 2015-06-03 C. Cremaschini , J. C. Miller , M. Tessarotto

Magnetohydrodynamic (MHD) and two-fluid quasi-neutral equilibria with azimuthal symmetry, gravity and arbitrary ratios of (nonrelativistic) flow speed to acoustic and Alfven speeds are investigated. In the two-fluid case, the mass ratio of…

Astrophysics · Physics 2015-06-24 K. G. McClements , A. Thyagaraja

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

We obtain analytic solutions of a generalised Grad-Shafranov equation describing steady states with incompressible plasma flow of arbitrary direction, toroidal current reversal and either nested or non-nested magnetic surfaces. It turns out…

Plasma Physics · Physics 2017-04-18 A. Kuiroukidis , G. N. Throumoulopoulos

We analyze an axisymmetric magnetohydrodynamics configuration, describing the morphology of a purely differentially rotating thin plasma disk, in which linear and non-linear perturbations are triggered associated with microscopic magnetic…

Solar and Stellar Astrophysics · Physics 2018-10-02 Giovanni Montani , Mariachiara Rizzo , Nakia Carlevaro

We consider the nonaxisymmetric modes of instability present in Taylor-Couette flow under the application of helical magnetic fields, mainly for magnetic Prandtl numbers close to the inductionless limit, and conduct a full examination of…

Fluid Dynamics · Physics 2015-10-28 Adam Child , Evy Kersalé , Rainer Hollerbach

We review the evidence for and against the possibility that a strong enough poloidal field stabilizes an axisymmetric magnetostatic field configuration. We show that there does exist a class of resonant MHD waves which produce instability…

Solar and Stellar Astrophysics · Physics 2011-11-21 Alfio Bonanno , Vadim Urpin

Vlasov equilibria of axisymmetric plasmas with vacuum toroidal magnetic field can be reduced, up to a selection of ions and electrons distributions functions, to a Grad-Shafranov-like equation. Quasineutrality narrow the choice of the…

Plasma Physics · Physics 2015-06-18 H. Tasso , G. N. Throumoulopoulos

We investigate the properties of a hot accretion flow bathed in a poloidal magnetic field. We consider an axisymmetric viscous resistive flow in the steady state configuration. We assume the dominant mechanism of energy dissipation is due…

High Energy Astrophysical Phenomena · Physics 2017-08-30 Maryam Samadi , Shahram Abbassi