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\title{PHYSICS 212 Final Paper Proposal}
\author{Jixun Ding (SUID: 3624401)}
\date{Feb 8, 2019}

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I would like to follow a mixture of  \#4 and \#5 of the suggested paper topics. I would like to
\begin{itemize}
\item Study the Monte Carlo Renormalization Group (MCRG) and understand how it works.

\item Write an implementation of MCRG for the Ising Model on a 2D square lattice, find the critical exponents, and compare my results to original work in literature\cite{Swendsen1979}.

\item  Write an implementation of MCRG for the $O(3)$ Heisenberg model on a 2D square lattice and reproduce various results in original work in literature\cite{Shenker1980}. Confirm the model does not have a phase transition.

\end{itemize}

So far I have found: earliest formulation of MCRG by Ma\cite{Ma1976}; reviews of the methodology and results of MCRG by Gupta\cite{Gupta1986,Gupta1987}; two descriptions of MCRG by Swendsen\cite{Swendsen1982,Swendsen1984}. Textbook by Binder\cite{Binder2014} provide general background on Monte Carlo methods applied to statistical physics problems and a modern perspective on MCRG.

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