A geometrical sum rule for two-dimensional fluid correlation functions
- 1 December 1968
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 1 (6), 1461-1471
- https://doi.org/10.1088/0022-3719/1/6/301
Abstract
A formal integral relation is derived relating the triplet correlation function g3 to the higher gn for a two-dimensional fluid. The relation is obtained as a power series in the density and is shown to converge absolutely for all realistic fluids. It is also shown that the rule is satisfied to a good approximation by a limited number of the lower gn. The extension to three dimensions is discussed.Keywords
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