Reply to "Comment on 'Simple improvements to classical bubble nucleation models' ".

We reply to the Comment by Schmelzer and Baidakov [Phys. Rev. E 94, 026801 (2016)]. They suggest that a more modern approach than the classic description by Tolman is necessary to model the surface tension of curved interfaces. Therefore we now consider the higher-order Helfrich correction, rather than the simpler first-order Tolman correction. Using a recent parametrization of the Helfrich correction provided by Wilhelmsen et al. [J. Chem. Phys. 142, 064706 (2015)], we test this description against measurements from our simulations, and find an agreement stronger than what the pure Tolman description offers. Our analyses suggest a necessary correction of order higher than the second for small bubbles with radius less than or similar to 1 nm. In addition, we respond to other minor criticism about our results.