deletions | additions       diff --git a/Jarzynski.tex b/Jarzynski.tex  index e0e40b2..7f5ce26 100644  --- a/Jarzynski.tex  +++ b/Jarzynski.tex 
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Consider a particle in a 1D potential $V(x)$. Can I apply the JE to this system?  Some ideas:  Free energy  \begin{itemize}  \item What is temperature? Is there a way of turning mechanical energy into a free energy? How do I invoke a heat bath?  %  \item Can I make a partition function (if I have an explicit $V$)?  %  \item Treat For a single particle in a monotonic potential, what counts  as absorbing boundary with drift, like Payam2.3.   %   \item If we can make free energy change zero, then $\langle e^{-\beta W}\rangle = 1$. With dissipative process. a macro/microstate. Is multiplicity always one?  %  \item Free energy is work the can be done. But this is interpretation, not definition.   \end{itemize}   JE   \begin{itemize}  \item The JE shouldn't depend on microscopic dynamics of the system, as long as they are microscopically reversible. Can I propose my own dynamics? E.g. the particle goes up or down the potential with some probability.  %  \item Interpretation of the {\it control parameter} $\lambda(t)$ in this context: it is the ``force'' that a particle in a absolute zero vacuum would experience in the potential. Real experiment \ra randomness. 
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%  \item In the derivation of the JE, can we transform $\lambda(t) \ra \lambda(x)$ to make relevance to fixed potential stronger? If so, then smooth $V(x)$ can be steps in $H(t)$.  %  \end{itemize}   Solving the problem   \begin{itemize}  \item For a single particle in a monotonic potential, what counts Treat  as a macro/microstate. Is multiplicity always one? absorbing boundary with drift, like Payam2.3.  %  \item Free energy is work the If we  can be done. But this is interpretation, not definition. make free energy change zero, then $\langle e^{-\beta W}\rangle = 1$. With dissipative process.  \end{itemize}  Other notes:   \begin{itemize}   \end{itemize}