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Jonathan Nichols edited Second Order Decay1.tex
over 9 years ago
Commit id: 975c139f62e915723abceb21be583ebad6116a0c
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\begin{equation}
\omega^2[A_0]^2\Delta{t}^2-\left(\omega[A_0]\Delta{t}\right)^2\geq0
\end{equation}
This result is very similar to that of first order irreversible
decay($\omega^2\Delta{t}^2)-\left(\omega\Delta{t}\right)^2\geq0$), decay($\omega^2\Delta{t}^2)-\left(\omega\Delta{t}\right)^2\geq0$, the only difference being a dependence on the initial concentration of the reactant. This initial concentration dependence serves to cancel the concentration units in the second order rate coefficient, making the statistical length and Fisher divergence dimensionless. When there is a time independent rate coefficient and there is no static disorder, the equality holds $\omega^2[A_0]^2\Delta{t}^2=\left(\omega[A_0]\Delta{t}\right)^2$.