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A Fractal Model for Charge Diffusion Across a Rough Interface

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Scaling Phenomena in Disordered Systems
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Abstract

It would appear to be a simple matter to describe the process of charge transfer across the interface between two substances (e.g., electrode and electrolyte): there is ohmic resistance in each material and a capacitance across the interface.

Research sponsored by the Division of Materials Sciences and Applied Mathematical Sciences Subprogram, U. S. Department of Energy under contract DE-AC05-840R21400 with Martin Marietta Energy Systems, Inc.

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References

  1. See the review by P. H. Bottelberghs, in “Solid Electrolytes,” edited by P. Hagenmuller and W. Van Gool, Academic Press (New York, 1978), Chap. 10, and references cited therein.

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  2. J. B. Bates, private communication.

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  3. A. Le Mehaute and G. Crepy, Solid State Ionics 9 and 10: 17 (1983).

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  4. S. H. Liu, submitted for publication.

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  5. B. B. Mandelbrot, “The Fractal Geometry of Nature,” Freeman (New York, 1983 ).

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  6. T. Kaplan and L. J. Gray, submitted for publication.

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© 1991 Springer Science+Business Media New York

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Gray, L.J., Liu, S.H., Kaplan, T. (1991). A Fractal Model for Charge Diffusion Across a Rough Interface. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_6

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  • DOI: https://doi.org/10.1007/978-1-4757-1402-9_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1404-3

  • Online ISBN: 978-1-4757-1402-9

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