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Jason R. Green edited Abstract.tex
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Fluctuating rate coefficients are necessary to describe disordered kinetic processes with phenomenological, mass-action rate laws. First-order rate laws for irreversible decay have been the primary focus of this approach, but disorder may also manifest in higher-order kinetic processes. Here we present a measure of the static or dynamic disorder in irreversible decay for $A^n\to \textrm{products}$, $n=1,2,3,\ldots$. This measure quantifies the cumulative deviations of the rate coefficient history from a constant value -- the
inequality difference between the
time-integrated square of the
time-integrated rate coefficient
(times the time interval of interest) and the
square of the time-integrated rate
coefficient squared. Application of coefficient. Applying this
theory measure to empirical models for disordered kinetics
of order $n\geq 2$ shows this inequality measures the variation in rate coefficients for this
entire class of kinetic processes.
Traditional kinetics The equality is
valid only when a necessary and sufficient condition for the
equality holds. traditional kinetics with ``rate constants'' to hold.