Steady-State Plasma Flow in a Magnetic Field

Морозов, А. И.; Solov'ev, L. S.

doi:10.1007/978-1-4615-7814-7_1

Cited by 70 publications

(85 citation statements)

References 3 publications

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“…The second factor is a geometrical one and M = M in a cylindrical approximation. 16 In DIII-D with divertor, M Ͻ M since the poloidal mode number "seen" by the plasma is different from that of the I-coil located at the low field side where the pitch angle is larger than in the vicinity of the X-point. Firmly M and its radial variation can be determined only by calculating vacuum RMP numerically, see Refs.…”

Section: Characteristics Of Stochastic Magnetic Fieldmentioning

confidence: 99%

Particle transfer in edge transport barrier with stochastic magnetic field

et al. 2008

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Charged particle losses at the plasma edge affected by resonant magnetic perturbations (RMP) are considered by taking into account the electron and ion flows both parallel and perpendicular to perturbed field lines. Calculations are done for H-mode plasmas of low collisionality, i.e., under conditions where significant pump out of particles has been observed in experiments on the DIII-D tokamak [J. Luxon, Nucl. Fusion 42, 614 (2002)] with RMP from the I-coils. It is demonstrated that the perpendicular ion flux, arising by magnetic field stochastization due to the deviation of poloidal rotation from the neoclassical one, is of more importance than the parallel ion flow. With both loss contributions included, computations provide a pump out level in agreement with observations if the screening of RMP by the plasma rotation is taken into account. The impact of possible enhancement in the perpendicular electron transport due to fluctuations observed with RMP in the edge transport barrier is assessed.

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Section: Characteristics Of Stochastic Magnetic Fieldmentioning

confidence: 99%

Particle transfer in edge transport barrier with stochastic magnetic field

et al. 2008

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“…The general incompatibility of energy conservation and Galilei invariance in guiding-center mechanics is justified and analysed in Section 4. It may be added that the relativistic guiding-center mechanics by Morozov and Solov'ev [7] conserves energy in time-independent fields, but lacks Lorentz invariance, as we would expect. The same is true for the consistent relativistic guiding center theory of [9] that conserves energy and phase space volume at the same time.…”

Section: Introductionmentioning

confidence: 87%

Energy Conserving Non-relativistic Guiding Center Mechanics and the Galilean Principle of Relativity

Wimmel

1983

Zeitschrift Für Naturforschung A

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Arguments and representative examples are given that suggest that exact energy conservation and Galilei invariance are incompatible in non-relativistic guiding-center mechanics. Provided that this is true in general it also follows that exact energy conservation and Lorentz invariance are incompatible in relativistic guiding-center mechanics. It would furthermore follow that every guiding-center mechanics with exact energy conservation is a non-unique theory owing to the principle of relativity. The paper also presents a Galilei invariant guiding-center mechanics that does not conserve energy.

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“…Further manipulation of the MHD equations gives the flow constants (Morozov & Solov'ev 1980;Contopoulos 1995;Liffman & Siora 1997) …”

Section: The Mhd Nozzle Equationmentioning

confidence: 99%

“…Hartmann's work was the forerunner of plasma acceleration devices that have been used extensively in a number of fields ranging from space-craft propulsion, fusion research and power generation (Sutton & Sherman 1965;Jahn 1968). A major result of this research was the discovery, by A. I. Morozov and his colleagues in the late 1950s, of a class of solutions for magnetically driven flows which were similar to the Hugoniot solution for a de Laval jet (Morozov & Solov'ev 1980;Morozov 1990). Other authors appear to have, independently, obtained this result at a slightly later time (Pai 1962).…”

Section: Introductionmentioning

confidence: 99%

Relativistic Jet Flow from a One Dimensional Magnetic Nozzle—Analytic Solutions

Liffman

2001

Publ. – Astron. Soc. Aust

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Magnetohydrodynamic devices that can accelerate plasmas to speeds of the order of hundreds of kilometres per second have been designed and built for nearly forty years. Up to the time of writing, however, the theory for such devices has been exclusively non-relativistic. In this paper we derive the special relativistic magnetohydrodynamic (SRMHD) equations and use them to obtain the relativistic, magnetic nozzle equation which describes the production of jet flows with speeds approaching the speed of light.We obtain analytic solutions to this equation and show that, in principle, magnetic field gradients can accelerate a plasma to highly relativistic speeds. We also show that the exit kinetic energy, EK, of a particle is given by the equation EK = m0C2FR, where m0 is the rest mass of the particle and CFR is the fast magnetosonic speed at the start of the flow.The relativistic nozzle differs in a number of ways from the non-relativistic case.A non-relativistic nozzle has a relatively symmetric converging/diverging shape, while a highly relativistic nozzle converges in the usual manner, but diverges, in an abrupt fashion, at the very end of the nozzle. The gentle divergence of non-relativistic nozzles causes the exit plasma densities and magnetic fields of the flow to have values that are small relative to their values at the start of the nozzle. The abrupt divergence of a highly relativistic nozzle implies that, for a less than perfect nozzle, the exit values of the mass density and the magnetic field strength are comparable to their initial values. This unexpected dichotomy in behaviour may have future application in understanding the ‘radio-loud’ and ‘radio-quiet’ relativistic jets that are produced from astrophysical sources.

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Steady-State Plasma Flow in a Magnetic Field

Cited by 70 publications

References 3 publications

Particle transfer in edge transport barrier with stochastic magnetic field

Particle transfer in edge transport barrier with stochastic magnetic field

Energy Conserving Non-relativistic Guiding Center Mechanics and the Galilean Principle of Relativity

Relativistic Jet Flow from a One Dimensional Magnetic Nozzle—Analytic Solutions

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