For the loss-cone distribution function of problem 5.3 (in Chapter 5), show that

Compare these results with those of problem 6.2(d) and provide physical arguments to justify the difference in the perpendicular part of the average thermal energy.

Data from Problem 5.3.

The electrons inside a system of two coaxial magnetic mirrors can be described by the so-called loss-cone distribution function

where v_∥ and v_⊥ denote the magnitudes of the electron velocities in the directions parallel and perpendicular to the magnetic bottle axis, respectively, and where α_∥² = 2kT_∥/m and α_⊥² = 2kT_⊥/m.

Data from Problem 6.2d

Show that

Transcribed Image Text:

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