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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, | ||
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. | probability density for ''n'' particles . In Ref. 1 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.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]] |