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Spurious violation of the Stokes-Einstein-Debye relation in supercooled water.


ABSTRACT: The theories of Brownian motion, the Debye rotational diffusion model, and hydrodynamics together provide us with the Stokes-Einstein-Debye (SED) relation between the rotational relaxation time of the [Formula: see text]-th degree Legendre polynomials [Formula: see text], and viscosity divided by temperature, ?/T. Experiments on supercooled liquids are frequently performed to measure the SED relations, [Formula: see text]kBT/? and Dt[Formula: see text], where Dt is the translational diffusion constant. However, the SED relations break down, and its molecular origin remains elusive. Here, we assess the validity of the SED relations in TIP4P/2005 supercooled water using molecular dynamics simulations. Specifically, we demonstrate that the higher-order [Formula: see text] values exhibit a temperature dependence similar to that of ?/T, whereas the lowest-order [Formula: see text] values are decoupled with ?/T, but are coupled with the translational diffusion constant Dt. We reveal that the SED relations are so spurious that they significantly depend on the degree of Legendre polynomials.

SUBMITTER: Kawasaki T 

PROVIDER: S-EPMC6544661 | biostudies-literature | 2019 May

REPOSITORIES: biostudies-literature

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Spurious violation of the Stokes-Einstein-Debye relation in supercooled water.

Kawasaki Takeshi T   Kim Kang K  

Scientific reports 20190531 1


The theories of Brownian motion, the Debye rotational diffusion model, and hydrodynamics together provide us with the Stokes-Einstein-Debye (SED) relation between the rotational relaxation time of the [Formula: see text]-th degree Legendre polynomials [Formula: see text], and viscosity divided by temperature, η/T. Experiments on supercooled liquids are frequently performed to measure the SED relations, [Formula: see text]k<sub>B</sub>T/η and D<sub>t</sub>[Formula: see text], where D<sub>t</sub>  ...[more]

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