Marsden, Jerrold E. and Morrison , Philip J. and Weinstein, Alan J. (1984) The Hamiltonian structure of the BBGKY hierarchy equations. In: Fluids and plasmas : geometry and dynamics. Contemporary mathematics. No.28. American Mathematical Society , Providence, R.I., pp. 115-124. ISBN 0821850288. https://resolver.caltech.edu/CaltechAUTHORS:20100902-100636174
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Abstract
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.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 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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| Series Name: | Contemporary mathematics | ||||||
| Issue or Number: | 28 | ||||||
| Record Number: | CaltechAUTHORS:20100902-100636174 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100902-100636174 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 19767 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 04 Sep 2010 03:11 | ||||||
| Last Modified: | 03 Oct 2019 02:01 |
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