Unformatted text preview: Y = yv x / Ω with Ω = qB/mc . Hint: the arguments of f are all constants of motion. What are X and Y ? 3. A cylindrically symmetric plasma has a distribution function f given in terms of the energy H and canonical angular momentum P θ = r ( mv θ + qA θ /c ), which are the particle constants of motion, f ( r, v ) = n (2 πT/m ) 3 / 2 exp (HλP θ T ) , (2) where n , λ and T are constants. The vector potential A θ ( r ) produces a uniform magnetic ﬁeld. Find expressions for the density and rotation rate as a function of r ....
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 Fall '08
 drake
 Thermodynamics, Charge, Work, Entropy, Fundamental physics concepts, Noether's theorem, cylindrically symmetric plasma, canonical angular momentum

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