Fig. 4.

Ratio between rate coefficients inside and outside the cavity. The relation of $k_{\mathrm{in}}=k_{\mathrm{R}\to \mathrm{P}}^{\mathrm{VSC}}$ and $k_{\mathrm{out}}=k_{\mathrm{R}\to \mathrm{P}}$ was calculated at several detunings $\mathrm{\Delta }$. For these calculations $1\le N\le 10^{11}$, ${\omega }_{\mathrm{R}}={\omega }_{\mathrm{P}}$, $k_{\mathrm{B}}T=0.2\hslash {\omega }_{\mathrm{P}}$, $S=1$, $\hslash g=1.6\times 10^{-5}\hslash {\omega }_{\mathrm{P}}$, and $E_{001}^{‡}=4.9\hslash {\omega }_{\mathrm{P}}$. In agreement with Marcus theory, as the lower polariton mode decreases in energy (with increasing Rabi splitting), its corresponding activation energy falls and then rises, thus dominating the kinetics and becoming irrelevant, respectively. Notice that the trend of apparent enhancement at negative detunings eventually stops at low values of $∣\mathrm{\Delta }∣$