Self-Consistent Kinetic Model for Two-Dimensional Cusped and Minimum-B Type Equilibria

Sestero, A.

doi:10.1063/1.1692667

Cited by 6 publications

(2 citation statements)

References 9 publications

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“…For the same reason, the kinetic energy of translation at/in the anode of a confined ion must also be smaller than or equal to zero, and that of rotation must be smaller than rriir 2 u 2 i /2, otherwise it would run out of anode and be absorbed by cathode or collide on the anode. Therefore, only those whose energies satisfy the following expression are considered to be confined q a $(r, z) < e a < q a $ Aa + -marjw^ , (6) where w P a are the gyro-frequencies of electron (a = e) and ion (a = i) at the cusp region. Equations ( 5) and ( 6) compose the limits of integration of integrals of the distribution of electron and ion in our problem.…”

Section: Truncation Of Plasma Energymentioning

confidence: 99%

The Vlasov Equilibrium in the Electrostatically Plugged Tandem Mirror Machine MM-4U

Xiao-Bing¹,

Deng²,

Zhao³

et al. 1995

Commun. Theor. Phys.

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The Vlasov equilibrium in the electrostatically plugged tandem mirror machine with double cusps MM-4U is discussed. The plasma potential, density, and non-neutrality profiles are obtained by solving the Poisson–Maxwell equations on the basis of a solution of the Vlasov equation in equilibrium. The truncation conditions of the energy of plasma particles are included. The results show that the potential reaches a maximum and the density gets a minimum at the throat of the machine, i.e., at z = ±0.36 m. This consorts with the experimental measurements. The non-neutrality profiles show that there are four ion wells in the machine, two at the throats and another two at the centers of cusp.

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Section: Truncation Of Plasma Energymentioning

confidence: 99%

The Vlasov Equilibrium in the Electrostatically Plugged Tandem Mirror Machine MM-4U

Xiao-Bing¹,

Deng²,

Zhao³

et al. 1995

Commun. Theor. Phys.

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“…plane cusp configurations (SESTERO and GIUPPONI. 1969) and plasma beams (SESTERO, 1966; ~E R S T E D T , 1981,1984), have been constructed from the considered class of distribution functions. An analytically tractable subclass of the distributions.…”

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confidence: 99%

Variational principle and comparison theorem for the kinetic stability of two-dimensional Vlasov equilibria

Ågren¹

1986

Plasma Phys. Control. Fusion

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Distribution functions of the form F ( H . pI) are used to describe two-dimensional high j l plasmas with purely axial current. Both species, electrons and singly charged ions, are treated kinetically. Vacuum fields and effects due to neutral lines. finite gyro radii, particle trapping and electrostatic fields are included in the study. F o r i independent perturbations, a variational principle, which is simple to use in applications. is derived. Pressure profiles fulfilling the corresponding stability criterion are found in Extrap and in : pinch geometry. For a large class of displacements. the system is kinetically stable if it is M H D stable.

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Plasma Behavior in a Toroidal High-β Device

Gallagher

1970

The Physics of Fluids

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The stability of a cusp magnetic field has been combined with the low loss rate of a closed field configuration in a series of three small toroidal devices designed for plasma containment. In operation, a pinch partly stabilized by an axial magnetic field, is produced prior to application of the containing cusp field. The axial stabilizing field of the pinch is then trapped by the plasma so that closed field lines are maintained within the plasma while the cusp is excluded from the plasma. There is no evidence of turbulence and the device exhibits a loss rate an order of magnitude below that to be expected from the same device operated as a minimum-B configuration without field trapping. Containment time is dependent on the decay rate of the applied cusp field. Maximum value of β within the plasma exceeds 2 and β remains above 1 for 15 μsec. Electron densities and temperatures exceed 1016 cm−3 and 105 °K, respectively.

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Self-Consistent Kinetic Model for Two-Dimensional Cusped and Minimum-B Type Equilibria

Abstract: Articles you may be interested inSelf-consistent nonstationary two-dimensional model of multipactor in dielectric-loaded accelerator structures Phys. Plasmas 16, 073102 (2009); Source field modeling by selfconsistent Gaussian beam superposition (twodimensional)

Cited by 6 publications

References 9 publications

The Vlasov Equilibrium in the Electrostatically Plugged Tandem Mirror Machine MM-4U

The Vlasov Equilibrium in the Electrostatically Plugged Tandem Mirror Machine MM-4U

Variational principle and comparison theorem for the kinetic stability of two-dimensional Vlasov equilibria

Plasma Behavior in a Toroidal High-β Device

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