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Title
| - Equilibrium Time Correlation Functions from Irreversible Transformations inTrajectory Space
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Abstract
| - We present a new identity for the statistical mechanics of trajectories, showing that a distribution of irreversibletransformations between ensembles of trajectories is sufficient to determine equilibrium time correlationfunctions. This general and exact result extends to the dynamical realm recently derived connections betweenthermodynamic free energies and statistics out of equilibrium. We focus on the specific application to populationcorrelation functions characterizing chemical kinetics. In this context we use the identity to compute reactionrate constants through appropriate averaging of an effective work to switch from nonreactive to reactivetrajectory ensembles. There is in principle no restriction on how quickly this switching of ensembles isperformed. We demonstrate the practicality of such a calculation for a model isomerization in dense solvent.
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