1984
DOI: 10.1088/0029-5515/24/8/008
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Particle-confinement criteria for axisymmetric field-reversed magnetic configurations

Abstract: Based on two constants of motion, H and YQ, where H is the total energy of a particle and P# is its canonical angular momentum, particle confinement criteria are derived which impose constraints on H and PQ. With no electric field at the ends of field-reversed magnetic configurations, confinement criteria for closed-field and absolute confinements are obtained explicitly, including both lower and upper bounds of Pg/q, where q is the charge of the species considered, for a class of Hill's vortex field-reversed … Show more

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Cited by 25 publications
(9 citation statements)
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“…The existence of such a boundary was first recognized for Astron systems 11 and later in the context of FRCs per se. 18 The latter derived a kinetic "confinement boundary" illustrated in Fig. 1 H þ x cj P h < 0;…”
Section: Kinetic Ion Modelmentioning
confidence: 99%
“…The existence of such a boundary was first recognized for Astron systems 11 and later in the context of FRCs per se. 18 The latter derived a kinetic "confinement boundary" illustrated in Fig. 1 H þ x cj P h < 0;…”
Section: Kinetic Ion Modelmentioning
confidence: 99%
“…Particle loss can induce a plasma rotation in the ion diamagnetic direction. Indeed, examination of particle orbits reveals [256,323] that particles lost out of the FRC separatrix have a preferred sign (negative) of their angular momentum. Therefore, as they leave, the remaining plasma gradually acquires a net (positive) rotational motion.…”
Section: Origin Of the Rotationmentioning
confidence: 99%
“…As the temperature outside the separatrix decreases, the average end loss time ͗1/ʈ͘ Ϫ1 decreases and the difference from ͗ʈ͘ MHD increases. If there are particle losses that are not ascribed to the cross-field diffusion, such as particle loss process 21,22 into the loss cone in the (H,p ) plane, the difference between ͗1/ʈ͘ Ϫ1 and ͗ʈ͘ MHD diminishes. The reason for this is that the effective particle confinement time, N , for cross-field diffusion in Eq.…”
Section: Discussionmentioning
confidence: 99%