Localization threshold of Instantaneous Normal Modes from level-spacing statistics

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Scientific paper

10.1103/PhysRevE.70.061502

We study the statistics of level-spacing of Instantaneous Normal Modes in a
supercooled liquid. A detailed analysis allows to determine the mobility edge
separating extended and localized modes in the negative tail of the density of
states. We find that at temperature below the mode coupling temperature only a
very small fraction of negative eigenmodes are localized.

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