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We illustrate some of the static and dynamic relations discovered by Cohen,Crooks, Evans, Jarzynski, Kirkwood, Morriss, Searles, and Zwanzig. Theserelations link nonequilibrium processes to equilibrium isothermal free energychanges and to dynamical path probabilities. We include ideas suggested byDellago, Geissler, Oberhofer, and Schoell-Paschinger. Our treatment is intendedto be pedagogical, for use in an updated version of our book: TimeReversibility, Computer Simulation, and Chaos. Comments are very welcome.

Free Energy Changes, Fluctuations, and Path Probabilities