Connecting the vulcanization transition to percolation

Weiqun Peng, Paul M. Goldbart, Alan J. McKane

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A minimal replica-field theoretical model was used to explain the vulcanization transition associated with the liquid and critical states. The relationship between the transition and percolation was investigated. Appropriate long-wavelength aspects of two and three point vertex functions for the model to all orders in perturbation theory were considered for the analysis. The vertex functions of vulcanization transition were found to coincide with those of a certain field-theoretical representation of percolation transition.
    Original languageEnglish
    Article number031105
    Pages (from-to)311051-311057
    Number of pages6
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume64
    Issue number3 I
    DOIs
    Publication statusPublished - Sept 2001

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