Born-Green equation: Difference between revisions
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Carl McBride (talk | contribs) m (New page: <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_...) |
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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> | ||
Revision as of 18:48, 26 February 2007
![{\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)
References
- 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, volume 188 p. 10" (1946)