2006•Europhysics Letters (EPL)Open access

From pair correlations to pair interactions: An exact relation in one-dimensional systems

Hendrik Hansen‐Goos, Christian Lutz, Clemens Bechinger, Roland Roth

Abstract

We demonstrate that the pair potential V ( r ) in one-dimensional systems can be obtained analytically from the pair-distribution function in case of short-ranged interactions. We re-examine the exact statistical mechanics solution and propose a simple procedure for extracting the pair potential and the equation of state from experimentally measured pair-distribution functions. The method is applied to charge-stabilised colloids which are confined to a one-dimensional laser trap.

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Key concepts: Pair distribution function, Pair potential, Statistical physics, Radial distribution function, Statistical mechanics, Simple (philosophy), Distribution (mathematics), Trap (plumbing)