--- trunk/mattDisertation/Introduction.tex	2004/01/09 02:41:45	914
+++ trunk/mattDisertation/Introduction.tex	2004/01/18 03:07:59	953
@@ -6,24 +6,29 @@ The techniques used in the course of this research fal
 
 \section{\label{introSec:theory}Theoretical Background}
 
-The techniques used in the course of this research fall under the two main classes of 
-molecular simulation: Molecular Dynamics and Monte Carlo. Molecular Dynamic simulations
-integrate the equations of motion for a given system of particles, allowing the researher
-to gain insight into the time dependent evolution of a system. Diffusion phenomena are 
-readily studied with this simulation technique, making Molecular Dynamics the main simulation
-technique used in this research. Other aspects of the research fall under the Monte Carlo
-class of simulations. In Monte Carlo, the configuration space available to the collection
-of particles is sampled stochastichally, or randomly. Each configuration is chosen with
-a given probability based on the Maxwell Boltzman distribution. These types of simulations
-are best used to probe properties of a system that are only dependent only on the state of
-the system. Structural information about a system is most readily obtained through
-these types of methods.
+The techniques used in the course of this research fall under the two
+main classes of molecular simulation: Molecular Dynamics and Monte
+Carlo. Molecular Dynamic simulations integrate the equations of motion
+for a given system of particles, allowing the researher to gain
+insight into the time dependent evolution of a system. Diffusion
+phenomena are readily studied with this simulation technique, making
+Molecular Dynamics the main simulation technique used in this
+research. Other aspects of the research fall under the Monte Carlo
+class of simulations. In Monte Carlo, the configuration space
+available to the collection of particles is sampled stochastichally,
+or randomly. Each configuration is chosen with a given probability
+based on the Maxwell Boltzman distribution. These types of simulations
+are best used to probe properties of a system that are only dependent
+only on the state of the system. Structural information about a system
+is most readily obtained through these types of methods.
 
-Although the two techniques employed seem dissimilar, they are both linked by the overarching
-principles of Statistical Thermodynamics. Statistical Thermodynamics governs the behavior of 
-both classes of simulations and dictates what each method can and cannot do. When investigating
-a system, one most first analyze what thermodynamic properties of the system are being probed,
-then chose which method best suits that objective.
+Although the two techniques employed seem dissimilar, they are both
+linked by the overarching principles of Statistical
+Thermodynamics. Statistical Thermodynamics governs the behavior of
+both classes of simulations and dictates what each method can and
+cannot do. When investigating a system, one most first analyze what
+thermodynamic properties of the system are being probed, then chose
+which method best suits that objective.
 
 \subsection{\label{introSec:statThermo}Statistical Thermodynamics}
 
@@ -33,12 +38,12 @@ Stochastic sampling
 
 \subsection{\label{introSec:monteCarlo}Monte Carlo Simulations}
 
-Stochastic sampling
+The Monte Carlo method was developed by Metropolis and Ulam for their
+work in fissionable material.\cite{metropolis:1949} The method is so
+named, because it heavily uses random numbers in the solution of the
+problem.
 
-detatiled balance
 
-metropilis monte carlo
-
 \subsection{\label{introSec:md}Molecular Dynamics Simulations}
 
 time averages