Consider the following simplified steady-state equation of motion, for each species in a fluid plasma, where the

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Consider the following simplified steady-state equation of motion, for each species in a fluid plasma,

where the electric (E) and magnetic (B) fields are uniform, but the number density (n) and the kinetic pressure (p) have a spatial gradient. Taking the cross-product of this equation with B show that, besides the E x B drift, there is also a diamagnetic drift given by

Provide physical arguments to justify the physical reason for this fluid drift. Explain if there is any motion of the particle guiding centers associated with this fluid drift, and why it does not appear in single particle orbit theory.

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