Connecting the vulcanization transition to percolation

Details Connecting the vulcanization transition to percolation Connecting the vulcanization transition to percolation

2001-04-11

arxiv.org/abs/cond-mat/0104212v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 5 figures

Scientific paper

10.1103/PhysRevE.64.031105

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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