From: W. Trevor King <wking@drexel.edu>
Date: Thu, 2 Feb 2012 15:27:35 +0000 (-0500)
Subject: Add comments referenceing Brockwell's 2002 paper with respect to Gumbel dist.
X-Git-Tag: v1.0~352
X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=4bdbd9008447f7c537a520b4a3c67e5bcdb1e17d;p=thesis.git

Add comments referenceing Brockwell's 2002 paper with respect to Gumbel dist.
---

diff --git a/src/sawsim/discussion.tex b/src/sawsim/discussion.tex
index 777e50c..ec276e8 100644
--- a/src/sawsim/discussion.tex
+++ b/src/sawsim/discussion.tex
@@ -118,6 +118,8 @@ and and average
                \p[{-\ln\p({\frac{N_fk_{u0}k_BT}{\kappa v\Delta x_u}})
                    -\gamma_e}] \;,  \label{eq:sawsim:order-dep}
 \end{equation}
+% This is discussed in brockwell02, p465
+% consolidate with src/unfolding/distributions-single_domain-constant_loading.tex
 where $N_f$ and $\kappa$ depend on the domain index $i=N_u$.  Curves based
 on this formula fit the simulated data remarkably well considering the
 effective WLC\index{WLC} stiffness $\kappa_\text{WLC}$ is the only fitted
diff --git a/src/unfolding/distributions-single_domain-constant_loading.tex b/src/unfolding/distributions-single_domain-constant_loading.tex
index 902896e..d9456e8 100644
--- a/src/unfolding/distributions-single_domain-constant_loading.tex
+++ b/src/unfolding/distributions-single_domain-constant_loading.tex
@@ -129,6 +129,8 @@ $\alpha=-\beta\ln(\kappa\beta/kv)$, and $F=x$ we have
 So our unfolding force histogram for a single Bell domain under
 constant loading does indeed follow the Gumbel distribution.
 
+% Consolidate with src/sawsim/discussion.tex
+
 \subsection{Saddle-point Kramers' model}
 
 For the saddle-point approximation for Kramers' model for unfolding