Jonathan Nichols edited Kinetic Model With Static Disorder.tex  over 9 years ago

Commit id: 8327416f75bc6ce6c81c0f5eb04c92b64000f326

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\begin{equation}  S(t)=\left(\frac{1}{2+2\omega tN_A(0)}+\frac{1}{2+2\omega'tN_A(0)}\right)  \end{equation}  The survival function in equation 26 36  shows a bi-exponential decay when $\omega\neq\omega'$, which shows that static disorder is present since a distribution of rate coefficients is necessary to describe the system. When $\omega=\omega'$, the survival function in equation 29 37  turns into the standard survival function for a second order reaction shown in equation 2. 12.  \begin{equation}  S(t)=\left(\frac{1}{2+2\omega tN_A(0)}+\frac{1}{2+2\omega tN_A(0)}\right)=\frac{2}{2+2\omega t[A_0]}=\frac{1}{1+\omega t[A_0]}  \end{equation}