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Specific Examples of Critical Path Analysis

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Percolation Theory for Flow in Porous Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 771))

At the end of Chap. 2 the general technique of critical path analysis was introduced within the framework of the electrical conductivity of disordered systems. In many systems the charges that move between these sites are electrons, but in some cases they may be ions, or even protons. Critical path analysis will actually form the basis of much of the remainder of this book. However, there are some subtleties to the technique, and its application cannot be so easily generalized as sometimes assumed. To some extent every case or system must be evaluated separately. In typical solid-state applications conductances are connected between sites, which are located randomly in space (why?1) meaning that the critical bond fractions from the lattice models of Chap. 1 are not directly applicable.

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Authors and Affiliations

  1. Dept. of Physics and Geology, Wright State University, Dayton, OH 45431, USA

    Allen Hunt

  2. Dept. Agronomy, Iowa State University, Ames, IA 50011-1011, USA

    Robert Ewing

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  1. Allen Hunt
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  2. Robert Ewing
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Correspondence to Allen Hunt .

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Hunt, A., Ewing, R. (2009). Specific Examples of Critical Path Analysis. In: Percolation Theory for Flow in Porous Media. Lecture Notes in Physics, vol 771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89790-3_4

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  • DOI: https://doi.org/10.1007/978-3-540-89790-3_4

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