On the temperature dependence of the density of states of liquids at low energies
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Date
2024-08-13
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Springer Nature
Abstract
We report neutron-scattering measurements of the density of states (DOS) of water and liquid Fomblin in a wide range of temperatures. In the liquid phase, we confirm the presence of a universal low-energy linear scaling of the experimental DOS as a function of the frequency, g(w) = a(T)w ,
which persists at all temperatures. The low-frequency scaling of the DOS exhibits a sharp jump at the melting point of water, below which the standard Debye’s law, g(w) ∝ w2 , is recovered. On the contrary, in Fomblin, we observe a continuous transition between the two exponents reflecting its
glassy dynamics, which is confirmed by structure measurements. More importantly, in both systems, we find that the slope a(T) grows with temperature following an exponential Arrhenius-like form, a(T) ∝ exp(−<E>/T) . We confirm this experimental trend using molecular dynamics simulations
and show that the prediction of instantaneous normal mode (INM) theory for a(T) is in qualitative agreement with the experimental data. © The Authors - Open Access This article is licensed under a Creative Commons Attribution 4.0 International License.
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Keywords
Temperature range, Density, Liquids, Neutrons, Scattering, Debye-Scherrer method, Water, Simulation, Data, Superconductivity
Citation
Jin, S., Fan, X., Stamper, C., Mole, R. A., Yu, Y., Hong, L., Yu, D., & Baggioli, M. (2024). On the temperature dependence of the density of states of liquids at low energies. Scientific Reports, 14, 1-14, 18805. doi:10.1038/s41598-024-69504-2