I noticed there are a few papers from Dr. Karuppuchamy Navamani, for example:
In which there is a strange formula (formula 2 of the first paper): $$ \left.\frac{\mathrm{d}E(\vec{E},\ T)}{\mathrm{d}t} \right\vert_{h_s,S}= \left.\frac{\mathrm{d}E}{\mathrm{d}t} \right\rvert_0 \exp\left(h_s-\frac{S}{k_B}\right)$$ where $\mathrm{d}E/\mathrm{d}t$ is the carrier’s energy transfer rate, $k_B$ is the Boltzmann constant, $h_S$ is the differential entropy, and $S$ is the entropy that quantifies the amount of disorder change due to randomness by thermal fluctuation, defect states, and various interactions such as phonon scattering.
This is very strange to me and I am not sure if this formula is right. The first paper that proposed the above formula is in the S50-S57 of the supporting information of Theoretical modeling of charge transport in triphenylamine–benzimidazole based organic solids for their application as host-materials in phosphorescent OLEDs.
But the deduction is very unclear, and there is no one else citing these papers, thus I am left wondering if these formulas and deductions are right.
