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Connecting the vulcanization transition to percolation

Weiqun Peng·Paul M. Goldbart·Alan J. McKane
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Abstract

The vulcanization transition is addressed via a minimal replica-field-theoretic model. The appropriate long-wave-length behavior of the two- and three-point vertex functions is considered diagrammatically, to all orders in perturbation theory, and identified with the corresponding quantities in the Houghton-Reeve-Wallace field-theoretic approach to the percolation critical phenomenon. Hence, it is shown that percolation theory correctly captures the critical phenomenology of the vulcanization transition associated with the liquid and critical states.

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Weiqun Peng, Paul M. Goldbart, Alan J. McKane. 2001-04-11. Connecting the vulcanization transition to percolation. https://doi.org/10.1103/physreve.64.031105

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