deletions | additions       diff --git a/Kinetic Model With Dynamic Disorder.tex b/Kinetic Model With Dynamic Disorder.tex  index 9964c59..5403cb6 100644  --- a/Kinetic Model With Dynamic Disorder.tex  +++ b/Kinetic Model With Dynamic Disorder.tex 
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\begin{equation}  \mathcal{J}_{KWW}(\Delta{t})=\Delta t [A_0]\beta^2\omega^{2\beta} \ln(t)\bigg|_{t_i}^{t_f}  \end{equation}  These results closely match the results of the  first order irreversible decay, where $\mathcal{L}_{KWW}(\Delta{t})=\omega^{\beta}t^{\beta}\bigg|_{t_i}^{t_f}$, $\mathcal{J}_{KWW}(\Delta{t})=\frac{\Delta t\beta^{2}\omega^{2\beta}t^{2\beta-1}}{2\beta-1}\bigg|_{t_i}^{t_f}$, and when $\beta=\frac{1}{2}$, $\mathcal{J}_{KWW}(\Delta{t})=\Delta t \omega^{2\beta} \ln(t)\bigg|_{t_i}^{t_f}$. decay KWW model [citation], with the only difference being a dependence on the initial concentration, which is what we would expect seen in equation 19.