Numerical Calculations of Off-Resonance Heating
J. C. Sprott
Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830
(Received 31 March 1972)
The off-resonance heating that is observed in hot-electron plasmas is explained
in terms of harmonic resonances, appropriately modified to include relativistic
and Doppler effects. A theoretical expression for the heating rate is proposed
and is found to agree with the results of a computer simulation over a
range of parameters. The theoretical heating rate is evaluated numerically
for several special cases, including a uniform magnetic field, a mirror
field with a 2:1 mirror ratio, and a large-aspect ratio bumpy torus. The
enhanced axial loss observed experimentally with heating below the cyclotron
frequency is explained by absorption at harmonics of the electron bounce
Ref: J. C. Sprott, Phys. Fluids 15,
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