5 files changed, 46 insertions, 21 deletions
diff --git a/figs/plot-avalanche-aspect.pdf b/figs/plot-avalanche-aspect.pdf
new file mode 100644
index 0000000..648b116
--- /dev/null
+++ b/figs/plot-avalanche-aspect.pdf
diff --git a/figs/plot-cluster-ratio.pdf b/figs/plot-cluster-ratio.pdf
new file mode 100644
index 0000000..bfb1854
--- /dev/null
+++ b/figs/plot-cluster-ratio.pdf
diff --git a/figs/plot-cluster-x.pdf b/figs/plot-cluster-x.pdf
new file mode 100644
index 0000000..2b1e945
--- /dev/null
+++ b/figs/plot-cluster-x.pdf
diff --git a/figs/plot-cluster-y.pdf b/figs/plot-cluster-y.pdf
new file mode 100644
index 0000000..1862880
--- /dev/null
+++ b/figs/plot-cluster-y.pdf
diff --git a/mm_2019.tex b/mm_2019.tex
index fedeace..c512ab9 100644
--- a/mm_2019.tex
+++ b/mm_2019.tex
@@ -77,12 +77,11 @@
   \begin{columns}
     \begin{column}{0.5\textwidth}
       \begin{overprint}
-        \onslide<1,3>\includegraphics[width=\textwidth]{figs/plain_square}
-        \onslide<2>\includegraphics[width=\textwidth]{figs/uncut_square}
-        \onslide<4>\includegraphics[width=\textwidth]{figs/perc_square}
-        \onslide<5>\includegraphics[width=\textwidth]{figs/med_square}
-        \onslide<6>\includegraphics[width=\textwidth]{figs/nuke_square}
-        \onslide<7>\includegraphics[width=\textwidth]{figs/nuke_voronoi}
+        \onslide<1>\includegraphics[width=\textwidth]{figs/plain_square}
+        \onslide<2>\includegraphics[width=\textwidth]{figs/perc_square}
+        \onslide<3>\includegraphics[width=\textwidth]{figs/med_square}
+        \onslide<4>\includegraphics[width=\textwidth]{figs/nuke_square}
+        \onslide<5>\includegraphics[width=\textwidth]{figs/nuke_voronoi}
       \end{overprint}
     \end{column}
     \begin{column}{0.5\textwidth}
@@ -101,15 +100,15 @@
 
       \bigskip
 
-      \alert<4>{Small $\beta$} is disordered, \alert<6->{large $\beta$} ordered
+      \alert<2>{Small $\beta$} is disordered, \alert<4->{large $\beta$} ordered
 
       \medskip
 
     \begin{overprint}
-      \onslide<1-3>\includegraphics[width=\textwidth]{figs/dist-all}
-      \onslide<4>\includegraphics[width=\textwidth]{figs/dist-small}
-      \onslide<5>\includegraphics[width=\textwidth]{figs/dist-med}
-      \onslide<6->\includegraphics[width=\textwidth]{figs/dist-large}
+      \onslide<1>\includegraphics[width=\textwidth]{figs/dist-all}
+      \onslide<2>\includegraphics[width=\textwidth]{figs/dist-small}
+      \onslide<3>\includegraphics[width=\textwidth]{figs/dist-med}
+      \onslide<4->\includegraphics[width=\textwidth]{figs/dist-large}
     \end{overprint}
     \end{column}
   \end{columns}
@@ -149,7 +148,7 @@
 
 \begin{frame}
   \frametitle{Fixed points}
-  \framesubtitle{$\pmb\beta\pmb=\pmb0$ -- percolation}
+  \framesubtitle{$\pmb\beta\pmb=\pmb0$ -- isotropic, self-similar percolation}
   \begin{columns}
     \begin{column}{0.5\textwidth}
       \begin{overprint}
@@ -181,7 +180,7 @@
 
 \begin{frame}
   \frametitle{Fixed points}
-  \framesubtitle{$\pmb\beta=\infty$ -- nucleation}
+  \framesubtitle{$\pmb\beta=\infty$ -- anisotropic, self-affine nucleation}
   \begin{columns}
     \begin{column}{0.5\textwidth}
       As $L\to\infty$, $\beta\to\infty$, reduces to nucleated crack propagation
@@ -212,13 +211,13 @@
 \end{frame}
 
 \begin{frame}
-  \frametitle{Self-similarity vs.\ self-affinity}
+  \frametitle{Self-similarity to self-affinity}
 
   Voltage (strain) applied along one direction---we should expect anisotropy!
   
   \bigskip
 
-  Clean cracks are \emph{self-affine}, self-similar under different rescalings of $x$ and $y$
+  Self-affine anisotropy emerges at different scales in different properties, but well within the intermediate microfractured regime.
 
 
   \begin{overprint}
@@ -232,18 +231,39 @@
 \begin{frame}
   \frametitle{Scaling theory}
 
-  Old: quantities like moments of $g$ depend on $L\beta^\nu$
+  \begin{columns}
+    \begin{column}{0.5\textwidth}
+      Quantities like moments of $g$ depend on $L_x\beta^{\nu_x}$ and $L_y\beta^{\nu_y}$, no simple ``collapse''
 
-  \bigskip
+      \bigskip
 
-  New: quantities like moments of $g$ depend on $L_x\beta^{\nu_x}$ and $L_y\beta^{\nu_y}$
+      Show expected isotropic percolation scaling in disordered limit, unusual crossover in the intermediate regieme.
 
-  \bigskip
+      \bigskip
 
-  \centering
+      Spatial properties of avalanches remain anisotropic in all regiemes.
+
+      \vspace{18pc}
+  \end{column}
+  \begin{column}{0.5\textwidth}
+    \begin{overprint}
+      \onslide<1>
+    \vspace{-1em}
+
+    \includegraphics[width=\textwidth]{figs/plot-cluster-x}
+
+    \vspace{1em}
+
+    \includegraphics[width=\textwidth]{figs/plot-cluster-y}
+
+    \vspace{1em}
 
-  \huge FIGURE: EXAMPLE SCALING OF $x$ AND $y$ MOMENTS OF $g$ SHOWING DIFFERENT $\nu$
+    \includegraphics[width=\textwidth]{figs/plot-cluster-ratio}
+  \onslide<2>\includegraphics[width=\textwidth]{figs/plot-avalanche-aspect}
+\end{overprint}
+  \end{column}
 
+\end{columns}
 
 \end{frame}
 
@@ -273,5 +293,10 @@
 
 \end{frame}
 
+\begin{frame}
+  \centering
+  \Huge\bf Questions?
+\end{frame}
+
 \end{document}