Complex temporal patterns in molecular dynamics: a direct measure of the phase-space exploration by the trajectory at macroscopic time scales

Dmitry Nerukh, Vladimir Ryabov, Robert C. Glen

Research output: Contribution to journalArticlepeer-review

Abstract

Computer simulated trajectories of bulk water molecules form complex spatiotemporal structures at the picosecond time scale. This intrinsic complexity, which underlies the formation of molecular structures at longer time scales, has been quantified using a measure of statistical complexity. The method estimates the information contained in the molecular trajectory by detecting and quantifying temporal patterns present in the simulated data (velocity time series). Two types of temporal patterns are found. The first, defined by the short-time correlations corresponding to the velocity autocorrelation decay times (â‰0.1â€ps), remains asymptotically stable for time intervals longer than several tens of nanoseconds. The second is caused by previously unknown longer-time correlations (found at longer than the nanoseconds time scales) leading to a value of statistical complexity that slowly increases with time. A direct measure based on the notion of statistical complexity that describes how the trajectory explores the phase space and independent from the particular molecular signal used as the observed time series is introduced.
Original languageEnglish
Article number036225
Number of pages11
JournalPhysical Review E
Volume77
Issue number3
DOIs
Publication statusPublished - 28 Mar 2008

Bibliographical note

© 2008 The American Physical Society

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