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Efficient scheme for optimization of parallel tempering Monte Carlo method

Dominik Gront and Andrzej Kolinski

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The parallel tempering (PT) Monte Carlo sampling scheme has already been applied to studying different systems, including spin glasses and biomolecules. In this work we examine the efficiency of PT simulations and propose an iterative procedure for the optimal selection of the replicas' temperatures. The method returns a set of temperatures for a PT simulation for which the overlap of the distribution of states (referred to as an overlap ratio) measured for every pair of adjacent replicas remains constant. The computational procedure is tested for two distinct simplified molecular models of polypeptides. The method is based on the most fundamental thermodynamic properties and therefore it could be applied to virtually any system governed by the canonical ensemble.


PACS

87.15.A- Theory, modeling, and computer simulation

36.20.Ey Conformation (statistics and dynamics)

87.14.E- Proteins

87.15.H- Dynamics of biomolecules

02.70.Uu Applications of Monte Carlo methods

Subjects

Soft matter, liquids and polymers

Atomic and molecular physics

Computational physics

Biological physics

Dates

Issue 3 (24 January 2007)

Received 4 October 2006, in final form 12 December 2006

Published 5 January 2007



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