Issue
Europhys. Lett.
Volume 74, Number 1, April 2006
Page(s) 8 - 14
Section General
DOI http://dx.doi.org/10.1209/epl/i2005-10507-2
Published online 01 March 2006
Europhys. Lett., 74 (1), pp. 8-14 (2006)
DOI: 10.1209/epl/i2005-10507-2

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

H. 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

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.

PACS
05.20.Jj - Statistical mechanics of classical fluids.
82.70.Dd - Colloids.

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