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

Solomon H. Jacobson*, Mark A. Ratner, A. Nitzan

*Corresponding author for this work

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)5752-5756
Number of pages5
JournalThe Journal of Chemical Physics
Volume77
Issue number11
DOIs
StatePublished - Jan 1 1982

Fingerprint

Solid electrolytes
solid electrolytes
Damping
conductivity
Vibrational spectra
damping
Carrier concentration
vibrational spectra
derivation
conductors
inversions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

@article{0881a6a91e4b456db7ca21b5df43e300,
title = "Correlated ionic motion in solid electrolytes: Tests of Smoluchowski dynamics and conductivity relations",
abstract = "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.",
author = "Jacobson, {Solomon H.} and Ratner, {Mark A.} and A. Nitzan",
year = "1982",
month = "1",
day = "1",
doi = "10.1063/1.443731",
language = "English (US)",
volume = "77",
pages = "5752--5756",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
publisher = "American Institute of Physics Publising LLC",
number = "11",

}

Correlated ionic motion in solid electrolytes : Tests of Smoluchowski dynamics and conductivity relations. / Jacobson, Solomon H.; Ratner, Mark A.; Nitzan, A.

In: The Journal of Chemical Physics, Vol. 77, No. 11, 01.01.1982, p. 5752-5756.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Correlated ionic motion in solid electrolytes

T2 - Tests of Smoluchowski dynamics and conductivity relations

AU - Jacobson, Solomon H.

AU - Ratner, Mark A.

AU - Nitzan, A.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36749113120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749113120&partnerID=8YFLogxK

U2 - 10.1063/1.443731

DO - 10.1063/1.443731

M3 - Article

AN - SCOPUS:36749113120

VL - 77

SP - 5752

EP - 5756

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 11

ER -