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We show that the self-organized single-helical-axis (SHAx) and double-helical-axis (DAx) states in reversed field pinches can be reproduced in a minimally constrained equilibrium model using only five parameters. This is a significant…

Plasma Physics · Physics 2013-08-09 G. R. Dennis , S. R. Hudson , D. Terranova , P. Franz , R. L. Dewar , M. J. Hole

Single Helical Axis (SHAx) states obtained in high current reversed field pinch (RFP) plasmas display, aside from a dominant mode in the m=1 spectrum, also a dominant m=0 mode, with the same toroidal mode number as the m=1 one. The two…

Plasma Physics · Physics 2011-01-12 E. Martines , R. Lorenzini , B. Momo , S. Munaretto , P. Innocente , M. Spolaore

The equilibrium of a finite-beta cylindrical RFP plasma in the presence of saturated-amplitude tearing modes is investigated. The singularities arising from the perturbative analysis of the MHD force balance equation JxB=grad(p) are…

Plasma Physics · Physics 2007-05-23 P. Zanca , F. Sattin , E. Martines

In this paper a relaxation theory, proposed several years ago for plasmas where a single dominant mode is present, is revisited. The solutions of the related eigenvalue problem are numerically calculated and discussed. Although these…

Plasma Physics · Physics 2016-10-27 Roberto Paccagnella

A recent study [1] about the scaling with the aspect ratio (i.e. the ratio between the major and minor radius of the torus) of the dominant mode in Single Helical (SH) Reverse Field Pinch (RFP) plasmas has shown, at intermediate aspect…

Plasma Physics · Physics 2018-08-15 R. Paccagnella , S. Masamune , A. Sanpei

The equilibrium of a finite-beta RFP plasma in the presence of saturated-amplitude tearing modes is investigated. The singularities of the MHD force balance equation JXB=grad(p) at the modes rational surfaces are resolved through a proper…

Plasma Physics · Physics 2009-11-07 P. Zanca , F. Sattin

In this paper a new idea is presented which is able to predict the scaling law with the aspect ratio for the toroidal mode number of the so called Single Helicity states in Reversed Field Pinch plasmas. The model starts considering the pure…

Plasma Physics · Physics 2016-03-23 Roberto Paccagnella

The RFP is a toroidal magnetic configuration in which plasmas can spontaneously transform into different self-organized states. Among various states, the QSH state has a dominant component for the magnetic field and significantly improves…

Magnetic equilibrium reconstruction is a crucial simulation capability for interpreting diagnostic measurements of experimental plasmas. Equilibrium reconstruction has mostly been applied to systems with isotropic pressure and relatively…

The Multi-region Relaxed MHD (MRxMHD) has been successful in the construction of equilibria in three-dimensional (3D) configurations. In MRxMHD, the plasma is sliced into sub-volumes separated by ideal interfaces, each undergoing…

Plasma Physics · Physics 2020-05-20 Z. S. Qu , R. L. Dewar , F. Ebrahimi , J. K. Anderson , S. R. Hudson , M. J. Hole

A new method to obtain the radial profile of the magnetic perturbation in a toroidal force-free plasma having circular cross section is developed. The method is quite general and can be applied to any circular low-beta plasma once suitable…

Plasma Physics · Physics 2007-05-23 David Terranova , Paolo Zanca

The two-dimentional (2D) separatrix shaping plays a crucial role in the confinement of the Field Reversed Configuration (FRC), and the magnetic coils serve as an effective means for its control. In this work we develop a method to optimize…

Plasma Physics · Physics 2023-11-08 Zitong Qu , Ping Zhu , Zhipeng Chen , Haolong Li , Jiaxing Liu

Till now the magnetohydrodynamic (MHD) simulation of the reversed field pinch (RFP) has been performed by assuming axis-symmetric radial time independent dissipation profiles. In helical states this assumption is not correct since these…

Plasma Physics · Physics 2016-03-14 D. Bonfiglio , S. Cappello , D. F. Escande

Ideal MHD relaxation is the topology-conserving reconfiguration of a magnetic field into a lower energy state where the net force is zero. This is achieved by modeling the plasma as perfectly conducting viscous fluid. It is an important…

Plasma Physics · Physics 2017-10-26 Christopher Berg Smiet , Simon Candelaresi , Dirk Bouwmeester

Recent development of real-time equilibrium code Equinox [1] using a fixed-point algorithm [2] allow major plasma magnetic parameters to be identified in real-time, using rigorous analytical method. The code relies on the boundary flux code…

Plasma Physics · Physics 2007-05-23 Krzysztof Bosak , Jacques Blum , Emmanuel Joffrin

A hybrid spectral/finite-element code is developed to numerically solve the resistive finite-pressure magnetohydrodynamic equilibria without the necessity of postulating nested magnetic flux surfaces in the non-axisymmetric toroidal…

Plasma Physics · Physics 2024-12-30 Jian Zhang , Ping Zhu , Chris C. Hegna

In this work, several key scaling laws of the quasi-static magnetic compression of field reversed configuration (FRC) plasma [Spencer, Tuszewski, and Linford, 1983] are amended from a series of 2D FRC MHD equilibriums numerically obtained…

Results are presented of a first study of collisionless magnetic reconnection starting from a recently found exact nonlinear force-free Vlasov-Maxwell equilibrium. The initial state has a Harris sheet magnetic field profile in one direction…

Solar and Stellar Astrophysics · Physics 2016-03-23 Fiona Wilson , Thomas Neukirch , Michael Hesse , Michael G. Harrison , Craig R. Stark

This paper analyzes the relationship between the Single Helical relaxed states studied in R. Paccagnella, Phys. of Plasmas 23 (2016) 092512 and the so called 'helical ohmic equilibria', i.e. plasma states that are solutions of the helical…

Plasma Physics · Physics 2018-03-14 Roberto Paccagnella

This paper deals with the numerical reconstruction of the plasma current density in a Tokamak and of its equilibrium. The problem consists in the identification of a non-linear source in the 2D Grad-Shafranov equation, which governs the…

Numerical Analysis · Mathematics 2009-11-26 Jacques Blum , Cédric Boulbe , Blaise Faugeras
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