Fractional Stokes-Einstein Law for Ionic Transport in Liquids

Voronel, A.; Veliyulin, Emil; Machavariani, V Sh; Kisliuk, A.; Quitmann, D.

doi:10.1103/physrevlett.80.2630

Cited by 101 publications

(95 citation statements)

References 11 publications

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“…As soon as Eq. (1) was derived for hydrodynamic motion, it is reasonable to test whether it is applicable to atomic size [5] particles. This test is important for the main building units of the system and is of crucial significance for the conclusions on the mechanism of motion of smaller atoms and ions.…”

Section: Introductionmentioning

confidence: 99%

Relationship between diffusion, self-diffusion and viscosity

Avramov

2009

Journal of Non-Crystalline Solids

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a b s t r a c tWe investigate the experimental limits of validity of the Stokes-Einstein equation. There is an important difference between diffusion and self-diffusion. The experimental evidences show, that in the case of selfdiffusion the product Dg/T is constant and the Stokes-Einstein equation is still valid. On the other hand, comparison of existing experimental data, on viscosity g and diffusion coefficients D, of small, fast moving ions shows unambiguously that the product Dg/T depends strongly on temperature T. The temperature dependence of diffusion coefficient declines from that of viscosity. Therefore, the Stokes-Einstein equation is not valid in for fast moving ions.

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Section: Introductionmentioning

confidence: 99%

Relationship between diffusion, self-diffusion and viscosity

Avramov

2009

Journal of Non-Crystalline Solids

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“…Counter ion c × a (nm) [20][21][22] We attempted to apply the F-SE and found that even when the extra parameter m was introduced, the fitting in the linear plots ln(D) versus ln(kT/) were not much improved.…”

Section: Ionmentioning

confidence: 99%

Translational and Rotational Motions for TFSA-Based Ionic Liquids Studied by NMR Spectroscopy

Hayamizu¹

2011

Ionic Liquids - Classes and Properties

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“…An alternative approach for predicting the temperature dependence of resistivity is to apply the fractional Stokes-Einstein relation using measured viscosity data [17][18][19][20]. The fundamental StokesEinstein relation is…”

Section: Fractional Stokes-einstein Relationmentioning

confidence: 99%

“…While VFT was originally intended to describe the temperature dependence of viscosity [16], the more recently proposed fractional Stokes-Einstein relation indicates that resistivity should follow a similar non-Arrhenius form [17][18][19][20]. The main assumption of the fractional Stokes-Einstein relation is that the same microscopic mechanisms governing the shear flow of a liquid are also responsible for its conductivity.…”

Section: Introductionmentioning

confidence: 97%