Using bijective maps to improve free-energy estimates
Open Access
- 13 January 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 79 (1), 011113
- https://doi.org/10.1103/physreve.79.011113
Abstract
We derive a fluctuation theorem for generalized work distributions, related to bijective mappings of the phase spaces of two physical systems, and use it to derive a two-sided constraint maximum likelihood estimator of their free-energy difference which uses samples from the equilibrium configurations of both systems. As an application, we evaluate the chemical potential of a dense Lennard-Jones fluid and study the construction and performance of suitable maps.Keywords
This publication has 27 references indexed in Scilit:
- Single molecule pulling with large time stepsPhysical Review E, 2007
- Equilibrium free energies from fast-switching trajectories with large time stepsThe Journal of Chemical Physics, 2006
- Peptide Conformational Equilibria Computed via a Single-Stage Shifting ProtocolThe Journal of Physical Chemistry B, 2005
- Targeted free energy perturbationPhysical Review E, 2002
- Instantons in QCDReviews of Modern Physics, 1998
- Understanding Molecular SimulationComputers in Physics, 1997
- Nonequilibrium Equality for Free Energy DifferencesPhysical Review Letters, 1997
- A Monte Carlo method for determining free-energy differences and transition state theory rate constantsThe Journal of Chemical Physics, 1985
- Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella samplingJournal of Computational Physics, 1977
- High-Temperature Equation of State by a Perturbation Method. I. Nonpolar GasesThe Journal of Chemical Physics, 1954