Born-Green equation: Difference between revisions
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:<math>kT \frac{\partial \ln g(r_{12})}{\partial r_1}= | :<math>kT \frac{\partial \ln g(r_{12})}{\partial r_1}= | ||
\frac{-\partial U(r_{12})}{\partial r_1}- \rho \int \left[ \frac{\partial U(r_{13})}{\partial r_1} \right] g(r_{13})g(r_{23}) ~ d r_3</math> | \frac{-\partial U(r_{12})}{\partial r_1}- \rho \int \left[ \frac{\partial U(r_{13})}{\partial r_1} \right] g(r_{13})g(r_{23}) ~ d r_3</math> | ||
==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]] | |||
![{\displaystyle kT{\frac {\partial \ln g(r_{12})}{\partial r_{1}}}={\frac {-\partial U(r_{12})}{\partial r_{1}}}-\rho \int \left[{\frac {\partial U(r_{13})}{\partial r_{1}}}\right]g(r_{13})g(r_{23})~dr_{3}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5b167052e06908379493b10e24e616712dab5542)