BBGKY hierarchy - Revision history

Carl McBride: Added a reference

2010-05-27T13:19:08Z

Added a reference

← Older revision		Revision as of 15:19, 27 May 2010
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	with the important extension to dense liquids. The equations are exact, and relate the [[phase space]]		with the important extension to dense liquids. The equations are exact, and relate the [[phase space]]
	probability density for ''n''+1 particles to the phase space		probability density for ''n''+1 particles to the phase space
	probability density for ''n'' particles . In Ref. 1 it is shown that the [[H-theorem]] follows from the [[Kirkwood superposition approximation]].		probability density for ''n'' particles . In Ref. 2 it is shown that the [[H-theorem]] follows from the [[Kirkwood superposition approximation]].
	==See also==		==See also==
	*[[Liouville's theorem]]		*[[Liouville's theorem]]
	*[[Vlasov equation]]		*[[Vlasov equation]]
	==References==		==References==
	#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]		#[http://dx.doi.org/10.1098/rspa.1946.0093 M. Born and H. S. Green "A General Kinetic Theory of Liquids. I. The Molecular Distribution Functions", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''188''' pp. 10-18 (1946)]
			#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]
	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Carl McBride at 14:00, 27 September 2007

2007-09-27T14:00:45Z

← Older revision		Revision as of 16:00, 27 September 2007
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			{{Stub-general}}
	The '''BBGKY hierarchy''' consists of distribution functions, named after Bogolyubov, Born, Green, [[John G. Kirkwood \| Kirkwood]] and Yvon.		The '''BBGKY hierarchy''' consists of distribution functions, named after Bogolyubov, Born, Green, [[John G. Kirkwood \| Kirkwood]] and Yvon.
	The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,		The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,

Carl McBride at 09:29, 21 August 2007

2007-08-21T09:29:40Z

← Older revision		Revision as of 11:29, 21 August 2007
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	~~Distribution~~ functions, Bogolyubov, Born, Green, [[John G. Kirkwood \| Kirkwood]] and Yvon.		The '''BBGKY hierarchy''' consists of distribution functions, named after Bogolyubov, Born, Green, [[John G. Kirkwood \| Kirkwood]] and Yvon.
	The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,		The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,
	with the important extension to dense liquids.		with the important extension to dense liquids. The equations are exact, and relate the [[phase space]]
			probability density for ''n''+1 particles to the phase space
			probability density for ''n'' particles . In Ref. 1 it is shown that the [[H-theorem]] follows from the [[Kirkwood superposition approximation]].
	In Ref. 1 it is shown that the [[H-theorem]] follows from the [[Kirkwood superposition approximation]].		==See also==
			*[[Liouville's theorem]]
			*[[Vlasov equation]]
	==References==		==References==
	#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]		#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]
	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Carl McBride at 09:07, 29 May 2007

2007-05-29T09:07:43Z

← Older revision		Revision as of 11:07, 29 May 2007
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	The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,		The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,
	with the important extension to dense liquids.		with the important extension to dense liquids.
	In Ref. 1 it is shown that the [[H-theorem]] follows from the [[superposition approximation]].

			In Ref. 1 it is shown that the [[H-theorem]] follows from the [[Kirkwood superposition approximation]].
	==References==		==References==
	#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]		#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]
	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Carl McBride: New page: Distribution functions, Bogolyubov, Born, Green, Kirkwood and Yvon. The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids, with the impo...

2007-05-29T09:06:38Z

New page: Distribution functions, Bogolyubov, Born, Green, Kirkwood and Yvon. The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids, with the impo...

New page

Distribution functions, Bogolyubov, Born, Green, [[John G. Kirkwood | Kirkwood]] and Yvon.
The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids,
with the important extension to dense liquids.
In Ref. 1 it is shown that the [[H-theorem]] follows from the [[superposition approximation]].
==References==
#[http://dx.doi.org/10.1098/rspa.1947.0031 H. S. Green "A General Kinetic Theory of Liquids. II Equilibrium Properties", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences '''189''' pp. 103-117 (1947)]
[[category: statistical mechanics]]