Semiphenomenological theory of the Tolman length

V.I. Kalikmanov

Research output: Contribution to journalArticleAcademicpeer-review

30 Citations (Scopus)


A semiphenomenological cluster theory of the curvature correction dT to the surface tension of a spherical liquid drop (known as a ``Tolman length'') is presented. By using the Fisher droplet model of condensation [M. E. Fisher, Physics 3, 255 (1967)]. we obtain an equation relating dT to the saturation vapor pressure at a given temperature T. For low temperatures an analytical solution is obtained. In a general case the equation is solved numerically for various nonpolar substances. Not too close to Tc, dT is found to be positive and of the order of 0.2s, where s is a molecular diameter, in agreement with molecular dynamics simulations. As T¿Tc- the Tolman length becomes negative and diverges, as predicted by the density functional analysis.
Original languageEnglish
Pages (from-to)3068-3071
Number of pages4
JournalPhysical Review E: Statistical, Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number3
Publication statusPublished - 1997

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