Density fluctuations and the structure of a nonuniform hard sphere fluid

Details Density fluctuations and the structure of a nonuniform hard sphere fluid Density fluctuations and the structure of a nonuniform hard sphere fluid

2000-08-08

arxiv.org/abs/cond-mat/0008124v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.86.440

We derive an exact equation for density changes induced by a general external field that corrects the hydrostatic approximation where the local value of the field is adsorbed into a modified chemical potential. Using linear response theory to relate density changes self-consistently in different regions of space, we arrive at an integral equation for a hard sphere fluid that is exact in the limit of a slowly varying field or at low density and reduces to the accurate Percus-Yevick equation for a hard core field. This and related equations give accurate results for a wide variety of fields.

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