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We present the verification, validation, and results of an approximate, analytic model for the radial profile of the stress, strain, and displacement within the toroidal field (TF) coil of a Tokamak at the inner midplane, where stress…

The paper suggests certain regimes of fusion plasma with magnetic confinement, when the Larmor radius $\lambda$ and the angle $\alpha$ (determining the orientation of the local coordinates) form an analytic function $w=\lambda e^{i\alpha}$…

Plasma Physics · Physics 2022-12-14 Alexander M. Balk

The equilibrium of a cylindrical plasma with purely poloidal mass flow and cross section of arbitrary shape is investigated within the framework of the ideal MHD theory. For the system under consideration it is shown that only…

plasm-ph · Physics 2009-10-30 G. N. Throumoulopoulos , G. Pantis

A novel plasma state has been found in the presence of a uniform applied axial magnetic field in periodic cylindrical geometry. This state is driven electrostatically by helical electrodes, providing a driving field that depends on radius…

Plasma Physics · Physics 2017-08-15 Cihan Akçay , John M. Finn , Richard A. Nebel , Daniel C. Barnes

The equilibrium of an axisymmetric magnetically confined plasma with anisotropic resistivity and toroidal flow is investigated in the framework of magnetohydrodynamics (MHD). The stationary states are determined by an elliptic differential…

Plasma Physics · Physics 2015-06-26 G. Poulipoulis , G. N. Throumoulopoulos , H. Tasso

New plasma regimes with high confinement, low core impurity accumulation and small Edge localized mode (ELMs) perturbations have been obtained close to ITER conditions in magnetically confined plasmas from the Joint European torus (JET)…

The topology and the geometry of a surface play a fundamental role in determining the equilibrium configurations of thin films of liquid crystals. We propose here a theoretical analysis of a recently introduced surface Frank energy, in the…

Mathematical Physics · Physics 2015-06-18 Antonio Segatti , Michael Snarski , Marco Veneroni

We demonstrate that vacuum forming of 10-cm diameter silicon wafers of various crystallographic orientations under an x-ray permeable, flexible window can easily generate spherically bent crystal analyzers (SBCA) and toroidally bent crystal…

Instrumentation and Detectors · Physics 2018-09-17 Evan P. Jahrman , William M. Holden , Alexander S. Ditter , Stosh A. Kozimor , Scott L. Kihara , Gerald T. Seidler

Hot-cold ablative mixing plasmas are ubiquitous in astrophysical and laboratory systems, where a cold/dense plasma is roughly in pressure balance with a hot/dilute plasma. Examples include the plasma thermal quench during major disruptions…

Plasma Physics · Physics 2025-04-01 Yanzeng Zhang , Xian-Zhu Tang

A novel plasma state has been found [C.~Ak\c{c}ay, J.~Finn, R.~Nebel and D.~Barnes, Phys.~Plasmas \textbf{24}, 052503 (2017)] in the presence of a uniform applied axial magnetic field in periodic cylindrical geometry. This state is driven…

Plasma Physics · Physics 2018-03-14 Cihan Akçay , John M. Finn , Richard A. Nebel , Daniel C. Barnes , Neal Martin

A central issue in the design of tokamaks or stellarators is the coils that produce the external magnetic fields. The freedom that remains unstudied in the design of coils is enormous. This freedom could be quickly studied computationally…

Plasma Physics · Physics 2024-10-15 Allen H Boozer

Shaping of magnetic flux surfaces is found to have a strong impact on turbulence and transport in tokamak edge plasmas. A series of axisymmetric equilibria with varying elongation and triangularity, and a divertor configuration are…

Plasma Physics · Physics 2010-05-10 Alexander Kendl , Bruce D. Scott

A numerical workflow is developed to explore the viability of running multiple plasma configurations in the ARC fusion pilot plant. Suitable cost functions for various poloidal field coil sets are evaluated based on currents required in the…

Plasma Physics · Physics 2022-12-19 Nicolai de Boucaud , Theodore Golfinopoulos , Alessandro Marinoni

From a common expression for the poloidal electrostatic field of a tokamak, in the limit of large aspect ratio and concentric circular flux surfaces, one may determine the associated potential. This potential satisfies Poisson's equation,…

Plasma Physics · Physics 2011-01-11 Robert W. Johnson

Tokamak operational regimes with small edge localized modes (ELMs) could be a solution to the problem of large transient heat loads in future fusion reactors because they provide quasi-continuous exhaust while keeping a good plasma…

The potential formation of multi-mega-ampere beams of relativistic "runaway" electrons (REs) during sudden terminations of tokamak plasmas poses a significant challenge to the tokamak's development as a fusion energy source. Here, we use…

The prediction of perturbed equilibrium models for tokamaks with small 3D fields is strongly dependent on which reference frame for axisymmetry is assumed - for example, the toroidal field (TF) coil vs the poloidal field (PF) coil centroid.…

Plasma Physics · Physics 2025-09-29 J. Halpern , N. C. Logan , E. Paul , C. Paz-Soldan

In this paper, the collective dynamics of the large aspect ratio dusty plasma is studied over a wide range of discharge parameters. An inductively coupled diffused plasma, which creates an electrostatic trap to confine the negatively…

Plasma Physics · Physics 2018-03-14 Mangilal Choudhary , S. Mukherjee , P. Bandyopadhyay

In the merging-compression method of plasma start-up, two flux-ropes with parallel toroidal current are formed around in-vessel poloidal field coils, before merging to form a spherical tokamak plasma. This start-up method, used in the…

Plasma Physics · Physics 2014-03-04 A. Stanier , P. Browning , M. Gordovskyy , K. G. McClements , M. P. Gryaznevich , V. S. Lukin

We determine all helical surfaces in three-dimensional Euclidean space which possess a constant ratio $a:=\kappa_1/\kappa_2$ of principal curvatures (CRPC surfaces), thus providing the first explicit CRPC surfaces beyond the known…

Differential Geometry · Mathematics 2022-04-14 Yang Liu , Olimjoni Pirahmad , Hui Wang , Dominik L. Michels , Helmut Pottmann