Detection and characterization of dynamical heterogeneity in an event series using wavelet correlation

Haw Yang

doi:10.1063/1.2969074

Detection and characterization of dynamical heterogeneity in an event series using wavelet correlation

Haw Yang

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

A method that combines wavelet-based multiscale decomposition with correlation statistical analysis to extract, detect, and characterize time-dependent variations in the spectral response of a system has been developed. The approach is independent of the distribution of the observable and does not rely on any presumed kinetic model for the system's dynamical response. It provides a quantitative and objective framework for studies of complex systems exhibiting dynamics that are nonuniform in time. Applying this method to computer simulated data, it is shown that the wavelet correlation approach is capable of resolving the size fluctuations in a single nanostructure by single-molecule tracking spectroscopy.

Original language	English (US)
Article number	074701
Journal	Journal of Chemical Physics
Volume	129
Issue number	7
DOIs	https://doi.org/10.1063/1.2969074
State	Published - 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1063/1.2969074

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title = "Detection and characterization of dynamical heterogeneity in an event series using wavelet correlation",

abstract = "A method that combines wavelet-based multiscale decomposition with correlation statistical analysis to extract, detect, and characterize time-dependent variations in the spectral response of a system has been developed. The approach is independent of the distribution of the observable and does not rely on any presumed kinetic model for the system's dynamical response. It provides a quantitative and objective framework for studies of complex systems exhibiting dynamics that are nonuniform in time. Applying this method to computer simulated data, it is shown that the wavelet correlation approach is capable of resolving the size fluctuations in a single nanostructure by single-molecule tracking spectroscopy.",

author = "Haw Yang",

note = "Funding Information: This work was supported by the U.S. Department of Energy. Thanks to H. Cang and D. Montiel for fruitful discussions and their critical reading of the manuscript, and to an anonymous reviewer for helpful comments. The author is an Alfred P. Sloan Fellow.",

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AB - A method that combines wavelet-based multiscale decomposition with correlation statistical analysis to extract, detect, and characterize time-dependent variations in the spectral response of a system has been developed. The approach is independent of the distribution of the observable and does not rely on any presumed kinetic model for the system's dynamical response. It provides a quantitative and objective framework for studies of complex systems exhibiting dynamics that are nonuniform in time. Applying this method to computer simulated data, it is shown that the wavelet correlation approach is capable of resolving the size fluctuations in a single nanostructure by single-molecule tracking spectroscopy.

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ER -

Detection and characterization of dynamical heterogeneity in an event series using wavelet correlation

Abstract

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