Abstract
Expanded ensemble methods, designed to sample a range of an order parameter λ of interest, can be optimized to overcome the difficulties associated with traversing large free-energy barriers or rugged landscapes. The optimization strategy of Trebst et al. [Phys. Rev. E 70, 046701 (2004)] is based on finding suitable biasing weights for inter-λ transitions that maximize the number of round trips that the system performs between the lower and upper λ bounds. In this work, this optimized-ensemble methodology is extended by finding weights that minimize the mean round-trip time τ (between the λ end states) for a Markovian walk. Applications are presented for an atomistically detailed model and for systems where one needs to sample a wide range of concentrations or compositions. A less rigorous method that implements a dual τ minimization (for both upward and downward trajectories) is found to be harder to converge but produce more round trips than a method based on a single τ minimization for all trajectories. While the proposed methods do not always minimize the true τ, they have performances that are either similar or better than those of the original optimized-ensemble method and provide useful information to characterize deviations from Markovian dynamics in the sampling of the λ space.
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Dates
Type | When |
---|---|
Created | 16 years, 10 months ago (Oct. 20, 2008, 6:48 p.m.) |
Deposited | 2 years, 1 month ago (July 30, 2023, 10:25 p.m.) |
Indexed | 1 month ago (July 30, 2025, 6:51 a.m.) |
Issued | 16 years, 10 months ago (Oct. 20, 2008) |
Published | 16 years, 10 months ago (Oct. 20, 2008) |
Published Online | 16 years, 10 months ago (Oct. 20, 2008) |
Published Print | 16 years, 10 months ago (Oct. 21, 2008) |
@article{Escobedo_2008, title={Optimization of expanded ensemble methods}, volume={129}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2994717}, DOI={10.1063/1.2994717}, number={15}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Escobedo, Fernando A. and Martinez-Veracoechea, Francisco J.}, year={2008}, month=oct }