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The importance of correlations in free-volume models for depletion phenomena

S.M. Oversteegen and H.N.W. Lekkerkerker

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 1, 181-196

Abstract: Two different levels of the free-volume approximation for describing one-dimensional mixtures of hard rods of two different lengths are analysed and tested against the exact solution. The mean-field level free-volume approach, where only the statistically pre-averaged free volume of the larger rods is accounted for, yields a spurious phase transition. Taking correlations into account not only gives better quantitative results, it also shows qualitative right physics, i.e. no phase transition.

Keywords: Free-volume approximation; Depletion interaction; Hard-sphere mixtures (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:310:y:2002:i:1:p:181-196

DOI: 10.1016/S0378-4371(02)00743-4

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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