Validity of Tolman’s equation: How large should a droplet be?

DOI PDF 被引用文献3件
  • Kenichiro Koga
    Department of Chemistry and Center for Materials Research and Analysis, University of Nebraska, Lincoln, Nebraska 68588
  • X. C. Zeng
    Department of Chemistry and Center for Materials Research and Analysis, University of Nebraska, Lincoln, Nebraska 68588
  • A. K. Shchekin
    Department of Statistical Physics, St. Petersburg State University, 198904, St. Petersburg, Russia

書誌事項

公開日
1998-09-08
DOI
  • 10.1063/1.477006
公開者
AIP Publishing

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説明

<jats:p>Surface tension and the length δ (distance between the Gibbs surface of tension Rs and the equimolar surface Re) of simple liquid droplet (Lennard-Jones and Yukawa) are computed over a wide range of droplet sizes up to about 4×106 molecules. The study is based on the Gibbs theory of capillarity combined with the density–functional approach to gas–liquid nucleation. Since this method provides behavior of the surface tension fully consistent with the tension of the planner surface, the constant in Tolman’s equation δ∞ can be determined unequivocally from the asymptotic behavior of σs. Comparison of the tension given by Tolman’s equation against the result of exact thermodynamic relations reveals that Tolman’s equation is valid only when the droplet holds more than 106 molecules for the simple fluid systems near their triple points, in contrast to the conventional wisdom that Tolman’s equation may be applicable down to droplets holding a few hundreds of molecules.</jats:p>

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