Open AccessFrom pair correlations to pair interactions: An exact relation in one-dimensional systems
Author(s) -
Hendrik HansenGoos,
Christian Lutz,
Clemens Bechinger,
Roland Roth
Publication year - 2006
Publication title -
epl (europhysics letters)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.625
H-Index - 165
eISSN - 1286-4854
pISSN - 0295-5075
DOI - 10.1209/epl/i2005-10507-2
Subject(s) - pair distribution function , pair potential , statistical physics , radial distribution function , statistical mechanics , simple (philosophy) , distribution (mathematics) , trap (plumbing) , physics , distribution function , function (biology) , pair production , quantum mechanics , mathematics , mathematical analysis , molecular dynamics , philosophy , epistemology , evolutionary biology , meteorology , biology
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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