this is for holding javascript data
Jason R. Green edited Introduction.tex
over 9 years ago
Commit id: 4faf47554bbf926338ba8c42885f1e5858171371
deletions | additions
diff --git a/Introduction.tex b/Introduction.tex
index 4cef4c6..2850532 100644
--- a/Introduction.tex
+++ b/Introduction.tex
...
%An inequality between two important quantities known as the statistical length and Fisher divergence is able to quantitatively measure the amount of static and dynamic disorder of a rate coefficient over a period of time, and is able to determine when traditional kinetics is truly valid[insert citation]. This inequality measures the temporal and spatial variation in the rate coefficient. When there is no static or dynamic disorder, this inequality is reduced to an equality and it is the only time where traditional kinetics is valid. It captures the fluctuations associated with the rate coefficient for first order irreversible decay processes.
In this work we
expand on this idea providing more generality and utility to extend the
theory by generalizing to higher-order kinetics. For this work we propose a generalization application of
our previous first order this inequality to measure disorder in irreversible decay kinetics
to higher orders, with
complete framework analyzing any $n^{th}$ order system nonlinear rate laws (i.e., kinetics with
total ``order'' greater thane unity). We illustrate this
description. In this work we propose a method for studying these more complex cases in chemical kinetics proposing theory to analyze disorder in $n^{th}$ order kinetics and provide detailed framework with proof-of-principle analyses for
second order second-order kinetics for irreversible decay phenomena. We
then also connect this theory to
previously accepted previous work on
first order first-order kinetics showing how the model simplifies in a consistent manner when working with first order models.