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

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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}  \section{Plonka Plots $\frac{1}{S(t)}$ vs time. with changing w/w'}  The inequality between $\mathcal{L}^2(\Delta{t})$ and $\mathcal{J}(\Delta{t})$ measures not only the amount of static and dynamic order in a first order irreversible decay process, but also in second order, mixed second order, and $n^{th}$ order irreversible decay reactions. All of these inequalities rely on two functions of the Fisher information, time dependent rate coefficient,  the statistical length and divergence. The inequality between the statistical length and Fisher divergence measures the amount of static and dynamic disorder in the rate coefficient. A single rate coefficient is sufficient only when $\mathcal{L}^2(\Delta{t})$=$\mathcal{J}(\Delta{t})$, and is when classical kinetics truly works. In the future this work may be useful at looking at other kinetic theories such as Michaelis-Menten kinetics.