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\section{Introduction}\label{sec:introduction}
Magnetic materials are used in a variety of technological devices. The distinct 
magnetic property of these materials is utilized in devices such as compasses 
for navigation, in computer hard drives to store data \cite{yale:2023:hdd}, and 
MRI machines to produce detailed anatomical images. 

Magnetic materials care classified based on their specific magnetic behavior, 
and one of the groups consists of ferromagnetic materials. These materials are 
easily magnetized, and when exposed to a strong magnetic field they can become 
saturated. In addition, when these materials are heated to a critical point, they 
lose their magnetic property \cite{britannica:2023:ferromagnetism}. 

The Ising model was introduced by Wilhelm Lenz and Ernst Ising in the early 1920s, 
in an attempt to simulate a physical system of ferromagnets using statistical 
mechanics \cite{niss:2004:ising}. The model have later been used to describe 
other phenomena, such as networks of neurons \cite{bialek:2008:ising}.

We will use the Ising model to study the behavior in ferromagnets when they are 
exposed to temperatures near a critical point. In addition, we will numerically 
estimate the critical temperature where the system experience phase transition. 

In Section \ref{sec:methods}, we will present the theoretical background for 
this experiment, as well as the algorithms and tools used in the implementation. 
Continuing with Section \ref{sec:results}, we will present our results and 
discuss our findings. Lastly, we will conclude our findings in Section \ref{sec:conclusion}.
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