Dissipation, geometry, and the stability of the dense radial morphology

David G. Grier, Daniel Mueth

    Research output: Contribution to journalArticle

    Abstract

    The dense radial morphology appears in a number of systems undergoing branched growth. Neither ordered nor fractal, this pattern is characterized by a large number of branches radiating from a central seed and advancing behind a circular envelope. We propose a model for dense radial growth which self-consistently incorporates dissipation in the growth channels. A linear stability analysis of this model delimits conditions under which the dense radial morphology can develop. Predictions of this model are borne out by numerical simlations of evolving resistor bond networks.

    Original languageEnglish (US)
    Pages (from-to)3841-3848
    Number of pages8
    JournalPhysical Review E
    Volume48
    Issue number5
    DOIs
    StatePublished - 1993

    Fingerprint

    Dissipation
    dissipation
    geometry
    Linear Stability Analysis
    resistors
    Envelope
    seeds
    Fractal
    fractals
    Branch
    envelopes
    Model
    Prediction
    predictions

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics

    Cite this

    Dissipation, geometry, and the stability of the dense radial morphology. / Grier, David G.; Mueth, Daniel.

    In: Physical Review E, Vol. 48, No. 5, 1993, p. 3841-3848.

    Research output: Contribution to journalArticle

    Grier, David G. ; Mueth, Daniel. / Dissipation, geometry, and the stability of the dense radial morphology. In: Physical Review E. 1993 ; Vol. 48, No. 5. pp. 3841-3848.
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