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We derive a hierarchy of equations which allow a general $n$-bodydistribution function to be measured by test-particle insertion of between $1$and $n$ particles, and successfully apply it to measure the pair and three-bodydistribution functions in a simple fluid. The insertion-based methods overcomethe drawbacks of the conventional distance-histogram approach, offeringenhanced structural resolution and a more straightforward normalisation. Theywill be especially useful in characterising the structure of inhomogeneousfluids and investigating closure approximations in liquid state theory.

Measuring Many-Body Distribution Functions in Fluids using Test-Particle Insertion