Percolation concepts in solid state ionics

W. Dieterich; O. Dürr; P. Pendzig; A. Bunde; A. Nitzan

doi:10.1016/S0378-4371(98)00597-4

Percolation concepts in solid state ionics

W. Dieterich, O. Dürr, P. Pendzig, A. Bunde, A. Nitzan

School of Chemistry

Research output: Contribution to journal › Conference article › peer-review

Abstract

Structural disorder is an inherent property of solid materials, which can support a macroscopic ionic current. Many transport phenomena in these solid ionic conductors appear to be related to concepts from percolation theory. We demonstrate this for three classes of materials, namely (i) dispersed ionic conductors, which show conductance properties that can be related to random electrical networks, (ii) ion-doped network glasses, whose concentration-dependent diffusion properties are accessible by critical path analysis, and (iii) polymer ionic conductors. For the latter we discuss Monte Carlo simulations which indicate the applicability of dynamic bond percolation theory.

Original language	English
Pages (from-to)	229-237
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	266
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(98)00597-4
State	Published - 15 Apr 1999
Event	Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger Duration: 14 Jul 1998 → 17 Jul 1998

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abstract = "Structural disorder is an inherent property of solid materials, which can support a macroscopic ionic current. Many transport phenomena in these solid ionic conductors appear to be related to concepts from percolation theory. We demonstrate this for three classes of materials, namely (i) dispersed ionic conductors, which show conductance properties that can be related to random electrical networks, (ii) ion-doped network glasses, whose concentration-dependent diffusion properties are accessible by critical path analysis, and (iii) polymer ionic conductors. For the latter we discuss Monte Carlo simulations which indicate the applicability of dynamic bond percolation theory.",

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note = "Funding Information: The authors have benefited greatly from discussions with K. Funke, P. Maass and B. Roling. Moreover we are grateful to M.D. Ingram for bringing Ref. [46] to our attention. This work was supported in part by the Lion-foundation. ; null ; Conference date: 14-07-1998 Through 17-07-1998",

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AU - Dieterich, W.

AU - Dürr, O.

AU - Pendzig, P.

AU - Bunde, A.

AU - Nitzan, A.

N1 - Funding Information: The authors have benefited greatly from discussions with K. Funke, P. Maass and B. Roling. Moreover we are grateful to M.D. Ingram for bringing Ref. [46] to our attention. This work was supported in part by the Lion-foundation.

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AB - Structural disorder is an inherent property of solid materials, which can support a macroscopic ionic current. Many transport phenomena in these solid ionic conductors appear to be related to concepts from percolation theory. We demonstrate this for three classes of materials, namely (i) dispersed ionic conductors, which show conductance properties that can be related to random electrical networks, (ii) ion-doped network glasses, whose concentration-dependent diffusion properties are accessible by critical path analysis, and (iii) polymer ionic conductors. For the latter we discuss Monte Carlo simulations which indicate the applicability of dynamic bond percolation theory.

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Percolation concepts in solid state ionics

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