BBGKY hierarchy: Difference between revisions
Jump to navigation
Jump to search
Carl McBride (talk | contribs) No edit summary |
Carl McBride (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
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]] | ||
Revision as of 10:29, 21 August 2007
The BBGKY hierarchy consists of distribution functions, named after Bogolyubov, Born, Green, Kirkwood and Yvon. The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids, 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.