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Joshua Coles 2023-03-13 13:31:11 +00:00
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\documentclass[12pt]{iopart}
\newcommand{\gguide}{{\it Preparing graphics for IOP Publishing journals}}
%Uncomment next line if AMS fonts required
%\usepackage{iopams}
\usepackage{iopams}
\usepackage{todonotes}
\begin{document}
@ -39,9 +37,11 @@ From this we will take the following observables
\item The percentage occupation of the cluster in a ball of equal radius.
\end{enumerate}
\todo{Cavities???}
\todo{We will want to break up that observable discussion into multiple paragraphs, talk about how the critical exponent is related to the fractal dimension, how that relates to the embedding dimension, etc. Why one might be interested in the two other observables we pulled out of our ass.}
\section{Method}
\section{General Method}
\todo{What tense should this method be in?}
@ -53,6 +53,8 @@ We will investigate these characteristics in turn as time and computational mode
Once this minimal viable alteration is complete we will implement our first proper change to the system, introducing a sticking probability, $p_{stick}$, such that a particle is no longer guaranteed to stick when moving adjacent to the cluster, but instead has a chance of simply passing by. This represents a change in our first identified orthogonal behaviour of the model, and the simplest to implement in the framework of the initially provided code. We will verify behaviour against the minimal viable alteration to ensure it is correct. Once this has been done this data will then be analysed to identify a quantitive relationship between $p_{stick}$ and our observables previously listed.
\todo{Do we want to show that bouncing has no real effect}
\todo{Do we want to talk about testing, for example that we get a uniform offset, etc.}
\todo{Do we have any theory to link for this? Probably in results but worth bearing in mind}
@ -63,6 +65,17 @@ Once accuracy has been determined the model will be embedded in spaces of higher
Finally a system for more complex particle motion will be developed such that we can plug in multiple walk modes in addition to a standard random walk, for example by introducing an external force or various varieties.
\section{Specific Method}
\begin{enumerate}
\item Choice of maxParticles such that it converges?
\item Use of {convergent} eee
\end{enumerate}
Choice of maxParticles such that it converges?
\end{document}