Abstract
The potential distribution theory recasts liquid state theory as a set of sum rules for the chemical potentials. These sum rules can be interpreted as measurements of the chemical potential at a point in space, via test particles, or in terms of the free energy changes involved in inserting or removing particles. As originally formulated, the case concerning the removal of a particle, inverse potential distribution theory, is ill-defined for models involving hard-core interactions. A modified version is presented that is suitable for hard-core systems with attractive interactions, and the physics involved is illustrated in terms of computer simulation thought experiments. As a simple example, inverse potential distribution theory is used to solve the one-dimensional lattice-gas model.
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