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Jonathan Nichols edited Pseudo-First Order Reactions.tex
over 9 years ago
Commit id: d1f71c1366d6116109bf4f9cc207d414126dde54
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The inequality between the statistical length and divergence measures the amount of disorder a rate coefficient has over a period of time, $\Delta t$, for a first order irreversible decay reaction.
The statistical length can be calculated as the integral of k'(t).
\begin{equation}
L(\Delta t)^2=\left[\int_0^{\Delta t}
\omega'dt=\omega'\Delta t\right]^2 \omega'dt\right]^2=(\omega'\Delta t)^2
\end{equation}
The divergence,$\mathcal{J}(\Delta{t})$, can also be calculated from k'(t)
\begin{equation}