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Superposition-Enhanced Estimation of Optimal Temperature Spacings for Parallel Tempering Simulations.


Type

Article

Change log

Authors

Ballard, Andrew J 
Wales, David J 

Abstract

Effective parallel tempering simulations rely crucially on a properly chosen sequence of temperatures. While it is desirable to achieve a uniform exchange acceptance rate across neighboring replicas, finding a set of temperatures that achieves this end is often a difficult task, in particular for systems undergoing phase transitions. Here we present a method for determination of optimal replica spacings, which is based upon knowledge of local minima in the potential energy landscape. Working within the harmonic superposition approximation, we derive an analytic expression for the parallel tempering acceptance rate as a function of the replica temperatures. For a particular system and a given database of minima, we show how this expression can be used to determine optimal temperatures that achieve a desired uniform acceptance rate. We test our strategy for two atomic clusters that exhibit broken ergodicity, demonstrating that our method achieves uniform acceptance as well as significant efficiency gains.

Description

Keywords

1103 Clinical Sciences

Journal Title

J Chem Theory Comput

Conference Name

Journal ISSN

1549-9618
1549-9626

Volume Title

10

Publisher

American Chemical Society (ACS)
Sponsorship
European Research Council (267369)
Engineering and Physical Sciences Research Council (EP/I001352/1)
This project was funded by EPSRC Grant EP/I001352/1 and the ERC.