PyDDM.ddm_analysis_and_fitting.newt
PyDDM.ddm_analysis_and_fitting.newt¶
-
newt(t, s)¶ This function is used to determine a new time when a distribution of decay times are present. The new time is the average over all the decay times.
- Parameters
t (float) – Decay time (seconds), e.g. tau
s (float) – Stretching exponent
- Returns
newt (float)- New, average decay time (seconds)
Theory
\[\langle \tau \rangle = \int_{0}^{\infty} e^{\left( \frac{-\Delta t}{\tau}\right)^{s}} \,d \Delta t = \frac{1}{s} \Gamma \left( \frac{1}{s} \right) \tau\]