Improving free-energy estimates from unidirectional work measurements: theory and experiment.

@article{Palassini2011ImprovingFE,
  title={Improving free-energy estimates from unidirectional work measurements: theory and experiment.},
  author={Matteo Palassini and Felix Ritort},
  journal={Physical review letters},
  year={2011},
  volume={107 6},
  pages={
          060601
        }
}
We derive analytical expressions for the bias of the Jarzynski free-energy estimator from N nonequilibrium work measurements, for a generic work distribution. To achieve this, we map the estimator onto the random energy model in a suitable scaling limit parametrized by (logN)/μ, where μ measures the width of the lower tail of the work distribution, and then compute the finite-N corrections to this limit with different approaches for different regimes of (logN)/μ. We show that these expressions… 
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