Superfluid plasmas - Multivelocity nonlinear hydrodynamics of superfluid solutions with charged condensates coupled electromagnetically

Physics

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Condensates, Coupled Modes, Magnetohydrodynamics, Plasmas (Physics), Superfluidity, Conservation Laws, Hall Effect, Hamiltonian Functions, Lie Groups, Liquid Helium, Velocity Distribution

Scientific paper

In the four levels of nonlinear hydrodynamic description presented for a nondissipative multicondensate solution of superfluids with vorticity, both charged and uncharged, the Hamiltonian structure is presented for each theory. The multivelocity hydrodynamic equations for uncharged superfluid condensates in the density formulation are shown to possess a noncanonical Hamiltonian formulation. The induced drag interaction discovered in Andreev and Bashkin (1976), and caused by the relative motion among the superfluids, arises in the present context on the basis of a generalized two-cocycle on the Poisson bracket.

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