title: Equilibrium free energies from nonequilibrium metadynamics.
abstract: In this Letter we propose a new formalism to map history-dependent metadynamics in a Markovian process. We apply this formalism to model Langevin dynamics and determine the equilibrium distribution of a collection of simulations. We demonstrate that the reconstructed free energy is an unbiased estimate of the underlying free energy and analytically derive an expression for the error. The present results can be applied to other history-dependent stochastic processes, such as Wang-Landau sampling.
authors.affiliation: Computational Science, Department of Chemistry and Applied Biosciences, Eidgenössische Technische Hochschule Zürich, c/o USI Campus, Via Buffi 13, CH-6900 Lugano, Switzerland. gbussi@phys.chem.ethz.ch
authors.forename: Giovanni
authors.initials: G
authors.lastname: Bussi
authors.forename: Alessandro
authors.initials: A
authors.lastname: Laio
authors.forename: Michele
authors.initials: M
authors.lastname: Parrinello