Field reversed configurations

Tuszewski, M.

doi:10.1088/0029-5515/28/11/008

Cited by 549 publications

(364 citation statements)

References 310 publications

(914 reference statements)

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“…Applying Hamilton's equations, Equation (4), to the Hamiltonian, Equation (9), where the partial derivative of H is taken with respect to ζ, we get a force along ζ:…”

Section: Types Of Midplane Particle Orbitsmentioning

confidence: 99%

Regular and stochastic orbits of ions in a highly prolate field-reversed configuration

2004

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Ion dynamics in a field-reversed configuration (FRC) are explored for a highly elongated device, with emphasis placed on ions having positive canonical angular momentum. Due to angular invariance, the equations of motion are that of a two degree of freedom system with spatial variables ρ and ζ. As a result of separation of time scales of motion, caused by large elongation, there is a conserved adiabatic invariant, J ρ , which breaks down during the crossing of the phase-space separatrix. For integrable motion, which conserves J ρ , an approximate one-dimensional effective potential was obtained by averaging over the fast radial motion. This averaged potential has the shape of either a double or single symmetric well centered about ζ = 0. The condition for the approach to the separatrix and therefore the break-down of the adiabatic invariance of J ρ is derived and studied under variation of J ρ and conserved angular momentum, π φ . Since repeated violation of J ρ results in chaotic motion, this condition can be used to predict whether an ion (or distribution of ions) with given initial conditions will undergo chaotic motion.

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“…Applying Hamilton's equations, Equation (4), to the Hamiltonian, Equation (9), where the partial derivative of H is taken with respect to ζ, we get a force along ζ:…”

Section: Types Of Midplane Particle Orbitsmentioning

confidence: 99%

Regular and stochastic orbits of ions in a highly prolate field-reversed configuration

2004

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“…In the past half century, compact toroid plasma configurations, such as field-reversed configurations (FRCs), have been extensively studied in the search for a cost-effective, high-power-density fusion energy reactor concept [1][2][3][4]. Since FRC's have the highest achievable beta among magnetic fusion configurations, they offer the possibility of an advanced-fuel reactor, provided the confinement and stability is sufficiently favorable.…”

Section: The Stability Of Frcs and The Effects Of Finite Ion Gyro-radiusmentioning

confidence: 99%

“…When an Ohmic transformer is turned on, it generates a one-turn inductive voltage in the azimuthal direction, thus creating an electric field in the azimuthal direction. This electric field induces a current as well as an inward plasma motion at the plasma surface through the Ohm's law, (2) where η⊥ is the perpendicular resistivity. With an external driving field, Eθ would compress the plasma by the Vr×Bp force, thus inducing a stronger pressure gradient and increasing the (diamagnetic) plasma current.…”

Section: Sustainment Of Frc On Mrxmentioning

confidence: 99%

Formation and sustainment of field reversed configuration (FRC) plasmas by spheromak merging and neutral beam injection

Yamada

2016

AIP Conference Proceedings

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“…The field-reversed configuration (FRC) is a compact toroidal confinement device [Tuszewski, 1988] which is formed with primarily poloidal magnetic field and a zero or negligibly small toroidal magnetic field. The plasma beta of the FRC is one of the highest for any magnetically confined plasma.…”

Section: Single Fluid Mdr Based Modelmentioning

confidence: 99%

Minimum dissipative relaxed states applied to laboratory and space plasmas

Dasgupta¹,

Shaikh²,

Hu³

et al. 2009

J. Plasma Phys.

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Abstract. The usual theory of plasma relaxation, based on the selective decay of magnetic energy over the (global) magnetic helicity, predicts a force-free state for a plasma. Such a force-free state is inadequate to describe most realistic plasma systems occurring in laboratory and space plasmas as it produces a zero pressure gradient and cannot couple magnetic fields with flow. A different theory of relaxation has been proposed by many authors, based on a well-known principle of irreversible thermodynamics, the principle of minimum entropy production rate which is equivalent to the minimum dissipation rate (MDR) of energy. We demonstrate the applicability of minimum dissipative relaxed states to various self-organized systems of magnetically confined plasma in the laboratory and in the astrophysical context. Such relaxed states are shown to produce a number of basic characteristics of laboratory plasma confinement systems and solar arcade structure.

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Field reversed configurations

Cited by 549 publications

References 310 publications

Regular and stochastic orbits of ions in a highly prolate field-reversed configuration

Regular and stochastic orbits of ions in a highly prolate field-reversed configuration

Formation and sustainment of field reversed configuration (FRC) plasmas by spheromak merging and neutral beam injection

Minimum dissipative relaxed states applied to laboratory and space plasmas

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