1 Erratum to: Acta Mechanica Sinica (2013) 29(4):543–549 DOI 10.1007/s10409-013-0063-9

  1. 1.

    The formula in the fourth sentence of the second paragraph in the section Simulations and methodology should read: \(\phi (r)=4\epsilon [(\sigma /r)^{12} - (\sigma /r)^{6} ]\).

  2. 2.

    The two symbols \(\varepsilon \) in the third paragraph of the section Simulations and methodology should be \(\epsilon \).

  3. 3.

    The sentence right after Eq. (3) should read: where E(h) is the interaction energy of a single water molecule with a distance h from the substrate, \(\rho (h)\) is number density of the water molecules per unit volume, and A(h) is the cross section area of the water droplet.

  4. 4.

    The integral expression in Eq. (4) should read:

    $$\begin{aligned} E(h)= & {} \int \limits _0^\infty {\frac{8\uppi }{{3\sqrt{3} a_{{\text {CC}}}^2 }}\phi \left( {\sqrt{r^2 + h^2 } } \right) r\mathrm{d}r} \nonumber \\= & {} \frac{{16\uppi \epsilon }}{{3\sqrt{3} a_{{\text {CC}}}^2 }}\left( {\frac{{\sigma ^{12} }}{{5h^{10} }} - \frac{{\sigma ^6 }}{{2h^4 }}} \right) \nonumber \\= & {} \left( {\frac{{5\sigma ^4 }}{{3h^4 }} - \frac{{2\sigma ^{10} }}{{3h^{10} }}} \right) E_\text {ads}. \end{aligned}$$
    (4)
  5. 5.

    Equation (5) should read:

    $$\begin{aligned} \begin{aligned} E_\text {ads}&= E(h = \sigma ) = - \frac{{8\uppi \epsilon }}{{5\sqrt{3} }}\left( \frac{\sigma }{{a_\mathrm{CC}}}\right) ^2 \\&= - \frac{{8\uppi \epsilon }}{{5\sqrt{3} }}\left[ \frac{\sigma }{{(1 + \varepsilon )a_{\mathrm{CC}_0 } }}\right] ^2 \\&\approx - \frac{{8\uppi \epsilon }}{{5\sqrt{3} }}\left( \frac{\sigma }{{a_{\mathrm{CC}_0}}}\right) ^2 (1 - 2\varepsilon ). \end{aligned} \end{aligned}$$
    (5)

The authors apologize for these errors.