Bubble free energy in a first-order phase transition

By integrating the thermodynamic Gibbs-Tolman-Konig-Buff equation, we derive an expression for the surface tension δ(R) and demonstrate that the use of its simple asymptotic (y=R/δ >>1) form, δ(R)=δ∞(1-2δ/R) is questionable in case of small droplets typical of the deconfinement phase transition. The misuse of the asymptotics affects the existing calculations of the droplet free energy and consequently, the estimated supercooling or superheating of the hot and dense nuclear matter. (author). 7 refs., 2 figs