this is for holding javascript data
Jason R. Green edited Abstract.tex
over 9 years ago
Commit id: 030595c51dc61636104365d90f9564bbf7b21bd3
deletions | additions
diff --git a/Abstract.tex b/Abstract.tex
index 6f19efd..44e742f 100644
--- a/Abstract.tex
+++ b/Abstract.tex
...
Fluctuating rate coefficients are necessary
to describe disordered in the mass-action rate laws of kinetic processes with
mass-action rate laws, whether the disorder. Any kinetic process can presumably manifest disorder, but a fundamental challenge is to measure this disorder from assumed rate
equations laws that are linear
or and nonlinear. Here we present a measure of the total disorder, static or dynamic, in the kinetics of irreversible decay $A^i\to \textrm{products}$, $i=1,2,3,\ldots n$ governed by (non)linear rate equations. We measure 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 of the rate coefficient history to empirical models for disordered kinetics with $i\geq 2$ shows this inequality measures the cumulative deviations in rate coefficients from a constant value. The equality is a necessary and sufficient condition for the traditional rate laws with ``rate constants'' to hold for this class of kinetic processes.