Relationship between the bulk modulus and the conductivity on a fractal

Kin Wah Yu, P. M. Chaikin, R. Orbach

    Research output: Contribution to journalArticle

    Abstract

    de Gennes has shown by an explicit calculation that the conductivity, conductance, and bulk modulus of a percolating network (a simple model for gelation without solvent) are related. We use recent scaling results on fractals to demonstrate that the bulk modulus on a fractal scales with the conductivity, while the force constant scales with the conductance. Our treatment is applicable to all fractal geometries, of which the percolating network is a special example.

    Original languageEnglish (US)
    Pages (from-to)4831-4832
    Number of pages2
    JournalPhysical Review B
    Volume28
    Issue number8
    DOIs
    StatePublished - 1983

    ASJC Scopus subject areas

    • Condensed Matter Physics

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