Suppose that the peculiar (random) velocities of the electrons in a given plasma satisfy the following modified

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Suppose that the peculiar (random) velocities of the electrons in a given plasma satisfy the following modified Maxwell-Boltzmann distribution function (considering u = 0),

(a) Verify that the electron number density is given by n0.

(b) Considering a Cartesian coordinate system with the z axis coincident with the parallel direction, show that the kinetic pressure dyad is given by

which indicates the presence of an anisotropy in the z direction.

(c) Calculate the heat flow vector q.

(d) Show that

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