Cato added Example.tex  over 10 years ago

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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}