Born-Green equation

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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}) ~ d r_3}

References

1. 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)