An error measure, referred to as the hysteresis error, is developed from the Crooks fluctuation theorem to evaluate the sampling quality in free-energy calculations. Theory and the numerical free energy of hydration calculations are used to show that Hamiltonian replica exchange provides a direct route for minimizing the hysteresis error. Replica exchange swap probabilities yield the rate at which the hysteresis error falls with the simulation length, and this result can be used to decrease bias and statistical errors associated with free-energy calculations based on multicanonical simulations.

Original languageEnglish
Article number026104
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
StatePublished - Feb 20 2008


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