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Hopping Transport in Disordered Systems

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Organic Molecular Aggregates

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 49))

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Abstract

We present a study of transport in various disordered systems based on three different formalisms. We focus on the questions of diffusion of excitations and charge carriers in homogeneously disordered systems and on the conductivity in inhomogeneous (granular) systems. We derive first the generalized master equation as the basic equation for transport in a disordered system and then relate it to the continuous time random walk formalism and to the effective medium approximation approach. In the inhomogeneous case we use the critical path method to calculate the temperature dependence of the d.c. conductivity.

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Author information

Authors and Affiliations

  1. Corporate Research Science Laboratories, Exxon Research and Engineering Company, Linden, NJ, 07036, USA

    J. Klafter

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  1. J. Klafter
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Editor information

Editors and Affiliations

  1. Abteilung für Theoretische Physik, Universität Ulm, D-7900, Ulm, Fed. Rep. of Germany

    Peter Reineker

  2. Institut für Theoretische Physik der Universität Stuttgart, Pfaffenwaldring 57, D-7000, Stuttgart 80, Fed. Rep. of Germany

    Hermann Haken

  3. Physikalisches Institut der Universität Stuttgart, Pfaffenwaldring 57, D-7000, Stuttgart 80, Fed. Rep. of Germany

    Hans Christoph Wolf

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© 1983 Springer-Verlag Berlin Heidelberg

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Klafter, J. (1983). Hopping Transport in Disordered Systems. In: Reineker, P., Haken, H., Wolf, H.C. (eds) Organic Molecular Aggregates. Springer Series in Solid-State Sciences, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82141-7_17

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  • DOI: https://doi.org/10.1007/978-3-642-82141-7_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82143-1

  • Online ISBN: 978-3-642-82141-7

  • eBook Packages: Springer Book Archive

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