this is for holding javascript data
Jason R. Green edited Abstract.tex
over 9 years ago
Commit id: 47f50c06087b772c2b0491eb1a1769dac4b91eec
deletions | additions
diff --git a/Abstract.tex b/Abstract.tex
index b9d6ab1..378e9ff 100644
--- a/Abstract.tex
+++ b/Abstract.tex
...
Fluctuating rate coefficients are necessary to describe disordered kinetic processes with phenomenological, mass-action rate laws.
First-order Linear rate laws for irreversible decay have been the primary focus of this approach, but kinetic processes with
an overall order higher than one nonlinear rate laws may also show disorder. Here we present a measure of the total disorder, static or dynamic, in irreversible decay for $A^n\to \textrm{products}$, $n=1,2,3,\ldots$. The measure of the rate coefficient history we introduce is the inequality between the time-integrated square of the rate coefficient (multiplied by the time interval of interest) and the square of the time-integrated rate coefficient. Applying this measure to empirical models for disordered kinetics of order $n\geq 2$ shows this inequality measures the cumulative deviations in rate coefficients from a constant value for this class of kinetic processes. The equality is a necessary and sufficient condition for the traditional kinetics with ``rate constants'' to hold.