Spectral statistics of the quenched normal modes of a network-forming molecular liquid

Details Spectral statistics of the quenched normal modes of a network-forming molecular liquid Spectral statistics of the quenched normal modes of a network-forming molecular liquid

2008-09-23

arxiv.org/abs/0809.3954v2

J. Chem. Phys. 130, 124512 (2009)

Physics

Condensed Matter

Soft Condensed Matter

Accepted for publication in The Journal of Chemical Physics

Scientific paper

10.1063/1.3099605

We evaluate the density of states of the quenched normal modes of ST2 water, and their statistical fluctuations, for a range of densities spanning three regimes of behavior of a hydrogen bonded liquid: a lower-density regime of random tetrahedral network formation; in the vicinity of a liquid-liquid critical point; and in a higher-density regime of fragile glass-forming behavior. For all cases we find that the fluctuations around the mean spectral densities obey the predictions of the Gaussian orthogonal ensemble of random matrix theory. We also measure the participation ratio of the normal modes across the entire frequency range, and find behavior consistent with the majority of modes being of an extended nature, rather than localized.

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