By C. Truesdell
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Extra resources for The Tragicomical History of Thermodynamics, 1822-1854 (Studies in the History of Mathematics and the Physical Sciences)
Example text
Consequently, the poloidal coordinate may still be ignored when curvature and grad-B drifts are considered, and the angular momentum is a constant of the net particle motion including drifts. Hence, the trapped 44 3 Magnetic Confinement particles move on drift surfaces that are surfaces of revolution about the centerline. As long as the device is designed so that these drift surfaces do not intersect with a material wall, the trapped particles are confined. Thus, mirror-trapped particles can be confined in systems with dimensions that are large compared to a gyroradius.
7. The upward (in our picture) flux of ions consists of all ions to the right whose guiding centers lie within rL of the surface element, and the downward flux consists of all ions to the left whose guiding centers lie within rL of the surface element. If there are more particles to the right than the left (rn as shown in Fig. 7), then there will be a net upward flux across the surface elements. If the particle density is uniform, but the gyroradius is larger for particles located to the left than to the right of the surface element, then there will be a net downward ion flux through the surface element.
The poloidal field is produced by an axial, or toroidal, current in the plasma which is induced by the transformer action of a set of primary poloidal field, or “ohmic heating,” coils. , are closed, in an ergodic sense), then particles are obviously confined with respect to their lowest order guiding center motion along the field lines. The simplest “closed field” configuration is a torus. An axisymmetric toroidal field can be formed, conceptually, by taking a flexible solenoidal coil and bending it around until the two ends meet.