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\section{Jarzynski Equality for Particle in a 1D Potential}  Treat as absorbing boundary with drift, like Payam2.3. Consider a particle in a 1D potential $V(x)$. Can I apply the JE to this system?  If we can make free energy change zero, then $\langle e^{-\beta W}\rangle = 1$. With dissipative process.   Other ideas from park. 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.   \end{itemize}