Correlated ionic motion in solid electrolytes: Tests of Smoluchowski dynamics and conductivity relations

Correlated ionic motion in solid electrolytes: Tests of Smoluchowski dynamics and conductivity relations

The conductivity of a one-dimensional model for solid electrolytes of framework type is calculated using both the Langevin and Smoluchowski equations. The Smoluchowski conductivity is generally larger than that from the (more general) Langevin approach; they become identical only in the strong dampi...

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Veröffentlicht in:The Journal of chemical physics 1982-01, Vol.77 (11), p.5752-5756
Hauptverfasser: Jacobson, Solomon H., Ratner, Mark A., Nitzan, A.
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container_issue 11
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container_title The Journal of chemical physics
container_volume 77
creator Jacobson, Solomon H.
Ratner, Mark A.
Nitzan, A.
description The conductivity of a one-dimensional model for solid electrolytes of framework type is calculated using both the Langevin and Smoluchowski equations. The Smoluchowski conductivity is generally larger than that from the (more general) Langevin approach; they become identical only in the strong damping limit. The inversion of computed or observed carrier densities to obtain an effective potential is generally straightforward for one dimension, but the derivation of the conductivity from this potential is easy only in the strong-damping extreme. The vibrational spectra of most ionic conductors indicate that the quantititve validity of the Smoluchowski equation is dubious for them.
doi_str_mv 10.1063/1.443731
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title Correlated ionic motion in solid electrolytes: Tests of Smoluchowski dynamics and conductivity relations
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