From pair correlations to pair interactions: An exact relation in one-dimensional systemsH. Hansen-Goos1, 2, C. Lutz3, C. Bechinger3 and R. Roth1, 2
1 Max-Planck-Institut für Metallforschung - Heisenbergstr. 3, 70569 Stuttgart, Germany
2 ITAP, Universität Stuttgart - Pfaffenwaldring 57, 70569 Stuttgart, Germany
3 2. Physikalisches Institut, Universität Stuttgart Pfaffenwaldring 57, 70569 Stuttgart, Germany
received 24 November 2005; accepted in final form 9 February 2006
published online 1 March 2006
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.
05.20.Jj - Statistical mechanics of classical fluids.
82.70.Dd - Colloids.
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