Born-Green equation: Difference between revisions
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:<math> | :<math>k_B T \frac{\partial \ln {\rm g}(r_{12})}{\partial {\mathbf r}_1}= | ||
\frac{-\partial | \frac{-\partial \Phi(r_{12})}{\partial {\mathbf r}_1}- \rho \int \left[ \frac{\partial \Phi(r_{13})}{\partial {\mathbf r}_1} \right] {\rm g}(r_{13}){\rm g}(r_{23}) ~ {\rm d}{\mathbf r}_3</math> | ||
where <math>\Phi(r_{nm})</math> is the [[intermolecular pair potential]], ''T'' is the [[temperature]], and <math>k_B</math> is the [[Boltzmann constant]]. | |||
==References== | ==References== | ||
#[http://links.jstor.org/sici?sici=0080-4630%2819461231%29188%3A1012%3C10%3AAGKTOL%3E2.0.CO%3B2-9 M. Born and Herbert Sydney 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://links.jstor.org/sici?sici=0080-4630%2819461231%29188%3A1012%3C10%3AAGKTOL%3E2.0.CO%3B2-9 M. Born and Herbert Sydney 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)] | ||
[[category:statistical mechanics]] | [[category:statistical mechanics]] |
Revision as of 15:19, 10 July 2007
where is the intermolecular pair potential, T is the temperature, and is the Boltzmann constant.