margin fixes -> geometry package

[lectures/latex.git] / nlsop / nlsop_emrs_2004.tex

diff --git a/nlsop/nlsop_emrs_2004.tex b/nlsop/nlsop_emrs_2004.tex
index a7191d01085958d7a86ed5f40f1b2adb4fd85d38..4d1ccf9e88ac2934306575b1496dc1444f8026d3 100644 (file)
--- a/nlsop/nlsop_emrs_2004.tex
+++ b/nlsop/nlsop_emrs_2004.tex
@@ -11,6 +11,8 @@
 \usepackage[dvips]{graphicx}
 \graphicspath{{./img/}}
 
+\usepackage[lmargin=3cm,rmargin=2cm,tmargin=2cm,bmargin=2cm,noheadfoot]{geometry}
+
 %\usepackage{./graphs}
 
 \title{Modelling of a selforganization process leading to periodic arrays of nanometric amorphous precipitates by ion irradiation}
@@ -92,7 +94,7 @@ The probability of amorphization is assumed to be proportional to the nuclear st
 \]
 with $p_{b}$, $p_{c}$ and $p_{s}$ being simulation parameters to weight the three different mechanisms of amorphization. The probability $p_{a \rightarrow c}$ of an amorphous volume to turn crystalline should behave contrary to $p_{c \rightarrow a}$ and is thus assumed as $p_{a \rightarrow c} = 1 - p_{c \rightarrow a}$.
 
-The simulation algorithm consists of three parts, the amorphization/re-crystallization process, the carbon incorporation and finally the carbon diffusion.
+The simulation algorithm consists of three parts, the amorphization/recrystallization process, the carbon incorporation and finally the carbon diffusion.
 
 For the amorphization/recrystallization process random values are computed to specify the volume which is hit by an impinging carbon ion. Two random numbers $x,y \in [0,1]$ are generated and mapped to the coordinates $k,l$ using a uniform probability distribution, $p(x)dx=dx \textrm{, } p(y)dy=dy$. A random number $z$ corresponding to the $m$ coordinate is distributed according to the linear approximated nuclear stopping power, $p(z)dz=(s z+s_0)dz$, where $s$ and $s_0$ are simulation parameters describing the nuclear energy loss. After calculating the local probability of amorphization $p_{c \rightarrow a}(k,l,m)$ of the selected volume another random number determines depending on the current status whether the volume turns amorphous, recrystallizes or remains unchanged. This step is looped for the average hits per ion in the simulation window as extracted from TRIM \cite{9} collision data.