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Theory of Adaptive Optimization for Umbrella Sampling
Author(s) -
Soohyung Park,
Wonpil Im
Publication year - 2014
Publication title -
journal of chemical theory and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.001
H-Index - 185
eISSN - 1549-9626
pISSN - 1549-9618
DOI - 10.1021/ct500504g
Subject(s) - umbrella sampling , replica , adaptive sampling , sampling (signal processing) , computer science , window (computing) , constant (computer programming) , mathematical optimization , mathematics , molecular dynamics , statistics , physics , monte carlo method , art , filter (signal processing) , visual arts , computer vision , programming language , operating system , quantum mechanics
We present a theory of adaptive optimization for umbrella sampling. With the analytical bias force constant obtained from the constrained thermodynamic length along the reaction coordinate, the windows are distributed to optimize the overlap between neighbors. Combining with the replica exchange method, we propose a method of adaptive window exchange umbrella sampling. The efficiency gain in sampling by the present method originates from the optimal window distribution, in which windows are concentrated to the region where the free energy is steep, as well as consequently improved random walk.

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