Chemical-potential route for multicomponent fluids

Abstract

The chemical potentials of multicomponent fluids are derived in terms of the pair correlation functions for arbitrary number of components, interaction potentials, and dimensionality. The formally exact result is particularized to hard-sphere mixtures with zero or positive nonadditivity. As a simple application, the chemical potentials of three-dimensional additive hard-sphere mixtures are derived from the Percus-Yevick theory and the associated equation of state is obtained. This Percus-Yevick chemical-route equation of state is shown to be more accurate than the virial equation of state. An interpolation between the chemical-potential and compressibility routes exhibits a better performance than the well-known Boublík-Mansoori-Carnahan-Starling-Leland equation of state.

9 pages, 1 figure; v2: minor changes

References in corpus (1)

• Chemical-Potential Route: A Hidden Percus-Yevick Equation of State for Hard Spheres

Cited by in corpus (6)

• Structural and Thermodynamic Properties of Hard-Sphere Fluids
• Chemical potential of a test hard sphere of variable size in a hard-sphere fluid
• Chemical potential of a test hard sphere of variable size in hard-sphere fluid mixtures
• Equation of state of sticky-hard-sphere fluids in the chemical-potential route
• Fourth virial coefficient of additive hard-sphere mixtures in the Percus-Yevick and hypernetted-chain approximations
• Equation of state for five-dimensional hyperspheres from the chemical-potential route