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Consider a particle in a 1D potential $V(x)$. Can I apply the JE to this system?    Some ideas:  \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 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.  \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.   \end{itemize}     Other notes:   \begin{itemize}  \end{itemize}