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The Hamiltonian structure of the BBGKY hierarchy equations

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
Related URLs:
URLURL TypeDescription
http://www.ams.org/bookstore?fn=20&arg1=conmseries&ikey=CONM-28PublisherArticle
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.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AT03-82ER-12097
Department of Energy (DOE)DE-FG05-80ET-53088
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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