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Cato added Example.tex
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\section{Example: a 24-bit particle}
Here we put the conclusions of section~\ref{sec:net2} into practice.
Take two ``particles'', represented by bit-strings (say 24 digits each). A bit corresponds here to the information of the particle, OR the value of a thermodynamic variable {\bf ??} which can be used to extract work.
Coarsen the particles by various amounts to reflect depth of measurement, so that the same particles are represented by 12, 8, 6, 4, 3 and two bits each\footnote{When coarsening a section of the string with equal numbers of \texttt{0}s and \texttt{1}s, I should choose one of the two answers at random with equal probability.}. How does the ``effort'' of measurement compare with the entropy change / work accessible?
24-bit\\
\texttt{0011 1010 1000 1110 0110 1011}\\
\texttt{0011 1010 1000 1110 1110 1011}
12-bit\\
\texttt{01 01 00 11 01 01}\\
\texttt{01 01 00 11 10 11}
8-bit\\
\texttt{01 00 10 11}\\
\texttt{01 00 11 11}
6-bit\\
\texttt{01 01 11}\\
\texttt{01 01 11}
4-bit\\
\texttt{00 11}\\
\texttt{00 11}
3-bit\\
\texttt{0 1 1}\\
\texttt{0 1 1}
2-bit\\
\texttt{01}\\
\texttt{01}
To do:
\begin{itemize}
\item Make a model which can extract work from the difference.
\end{itemize}