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Two-dimensional dynamics of two-component plasma with finite
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6.It is clear that for any functions and . The use of the Poisson brackets makes trivial transformation to another pair of canonically conjugated coordinate.
7.This classification is rather conventional. In the framework of the used above Hamilton formalism one of the guiding center coordinates is generalized momentum. In this sense, depends on both coordinates and momentums.
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10.This is kinetic equation in the phase space , where one of the coordinate serves as a generalized momentum.
11.The latter is the potential of the repulsion of two parallel like-charged rods, while the potential given by Eq. (20) is the potential of attraction of two parallel overlapping spiral coils with equal currents.
12.More general form of such kind of equilibrium containing eigenfunctions of the avaraging operator is superposition of the form where all scalars of the wave vectors are equal, .
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