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Published 1984 | Published
Book Section - Chapter Open

The Hamiltonian structure of the BBGKY hierarchy equations


The BBGKY hierarchy equations for the evolution of the i-point functions of a plasma with electrostatic interactions are shown to be Hamiltonian. The Poisson brackets are Lie-Poisson brackets on the dual of a Lie algebra. This algrebra is constructed from the algebra of n-point functions under Poisson bracket and the filtration obtained by considering subspaces of i-point functions, 1 ≤ i ≤ n.

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© 1984 American Mathematical Society. Research partially supported by DOE Contract DE-AT03-82ER-12097. Research partially supported by DOE Contract DE-FG05-80ET-53088.

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August 19, 2023
January 13, 2024