| 86 | | where ''N'',,CCN,, is the number of activated aerosols, ''N'',,0,, is the number concentration of dry aerosol, S is the supersaturation and k is power index between 0 and 1. In PALM the supersaturation is calculated explicitly by their thermodynamic fields of potential temperature and water vapor mixing ratio. However, curvature and solution effects can be considered with an analytical extension of the Twomey type activation scheme of [#khvorostyanov2006 Khvorostyanov and Curry (2006)]. |
| | 86 | where ''N'',,CCN,, is the number of activated aerosols, ''N'',,0,, is the number concentration of dry aerosol, S is the supersaturation and k is power index between 0 and 1. In PALM the supersaturation is calculated explicitly by their thermodynamic fields of potential temperature and water vapor mixing ratio. However, curvature and solution effects can be considered with an analytical extension of the Twomey type activation scheme of [#khvorostyanov2006 Khvorostyanov and Curry (2006)]. By doing so, the number of activated aerosol is calculated by |
| | 87 | #!Latex |
| | 88 | \begin{align*} |
| | 89 | & N_\mathrm{C}'=\frac{N_\mathrm{0}}{2} [1-\erf(u)]; u = \frac{\ln(S_\mathrm{0}/S}{\sqrt{2} \ln \sigma_\mathrm{s}} |
| | 90 | \end{align*} |
| | 91 | }}} |
