| Issue |
Europhys. Lett.
Volume 74, Number 1, April 2006
|
|
|---|---|---|
| Page(s) | 8 - 14 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10507-2 | |
| Published online | 01 March 2006 | |
From pair correlations to pair interactions: An exact relation in one-dimensional systems
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:
9
February
2006
We demonstrate that the pair potential 
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
© EDP Sciences, 2006
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