Cato Elucidate goal  over 10 years ago

Commit id: c56d0f928e10f4afdfa05a41e8f048844c92002e

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Statement of paradox.  \subsection{Goal and Discussion} \subsection{Goal}  Develop an information-theoretic approach to the Gibbs Gibbs'  Paradox. Quantify ``distinguishability'' in terms of information, and understand the thermodynamic consequences.     How much ``effort'' do we have to put into measuring the properties of e.g. a particle, to distinguish it from a similar particle? How does this affect the net extractable work?     Try to  develop a model (\`a la \citet{Mandal_Jarzynski_2012}) which realises it. where the information of a particle is manifest (e.g. a DNA molecule, or the particle is a binary string).  How much effort do we have to put into measuring properties to distinguish it from something similar? How does this balance with the extractable work?   \subsection{Counting microstates: thermodynamics versus statistical physics}