From: W. Trevor King <wking@tremily.us>
Date: Fri, 21 Jun 2013 18:39:25 +0000 (-0400)
Subject: sawsim/discussion.tex: Remove double integral Kramers' testing
X-Git-Tag: v1.0~34
X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=56aff936312fad29bff8d435d3e02fe597299aa8;p=thesis.git

sawsim/discussion.tex: Remove double integral Kramers' testing

I don't have enough detail/support here to let it stand.
---

diff --git a/src/sawsim/discussion.tex b/src/sawsim/discussion.tex
index bea8c66..ec9d006 100644
--- a/src/sawsim/discussion.tex
+++ b/src/sawsim/discussion.tex
@@ -743,20 +743,6 @@ $l_{ts}$ is the characteristic length of the transition state.
 \citet{evans97} solved this unfolding rate for both inverse power law
 potentials and cusp potentials.
 
-\subsubsection{Double-integral Kramers' theory}
-
-The double-integral form of overdamped Kramers' theory may be too
-complex for analytical predictions of unfolding-force histograms.
-Rather than testing the entire \sawsim\ simulation (\cref{sec:sawsim}),
-we will focus on demonstrating that the Kramers' $k(F)$ evaluations
-are working properly.  If the Bell modeled histograms check out, that
-gives reasonable support for the $k(F) \rightarrow \text{histogram}$
-portion of the simulation.
-
-Looking for analytic solutions to Kramers' $k(F)$, we find that there
-are not many available in a closed form.  However, we do have analytic
-solutions for unforced $k$ for cusp-like and quartic potentials.
-
 \section{Review of current research}
 
 There is a long history of protein unfolding and unbinding