Jason R. Green edited Abstract.tex  over 9 years ago

Commit id: 0c2718b20ffcf548909848208f46e4f993da71a0

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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 thetime-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.