Numerical studies for localization-delocalization transition in vibrational spectra

B. J. Huang; Ten-Ming Wu

doi:10.1016/j.cpc.2010.07.015

Numerical studies for localization-delocalization transition in vibrational spectra

B. J. Huang, Ten-Ming Wu^*

^*Corresponding author for this work

Institute of Physics

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

2 Scopus citations

Abstract

By investigating the localization-delocalization transition (LDT) in the instantaneous-normal-mode spectrum of a simple fluid, we compare two numerical methods, the level-spacing statistics and the multifractal analysis, for determining the LDT in vibrational spectra. Both methods are based on scale invariance at the transition. Within numerical errors, our results of the two methods give a reasonable agreement on the location of the transition.

Original language	English
Pages (from-to)	213-215
Number of pages	3
Journal	Computer Physics Communications
Volume	182
Issue number	1
DOIs	https://doi.org/10.1016/j.cpc.2010.07.015
State	Published - 1 Jan 2011

Keywords

Instantaneous normal modes
Level-spacing statistics
Localization-delocalization transition
Multifractal analysis

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10.1016/j.cpc.2010.07.015

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title = "Numerical studies for localization-delocalization transition in vibrational spectra",

abstract = "By investigating the localization-delocalization transition (LDT) in the instantaneous-normal-mode spectrum of a simple fluid, we compare two numerical methods, the level-spacing statistics and the multifractal analysis, for determining the LDT in vibrational spectra. Both methods are based on scale invariance at the transition. Within numerical errors, our results of the two methods give a reasonable agreement on the location of the transition.",

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AU - Wu, Ten-Ming

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AB - By investigating the localization-delocalization transition (LDT) in the instantaneous-normal-mode spectrum of a simple fluid, we compare two numerical methods, the level-spacing statistics and the multifractal analysis, for determining the LDT in vibrational spectra. Both methods are based on scale invariance at the transition. Within numerical errors, our results of the two methods give a reasonable agreement on the location of the transition.

KW - Instantaneous normal modes

KW - Level-spacing statistics

KW - Localization-delocalization transition

KW - Multifractal analysis

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JO - Computer Physics Communications

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Numerical studies for localization-delocalization transition in vibrational spectra

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Keywords

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