On the relevance of percolation theory to the vulcanization transition

Details On the relevance of percolation theory to the vulcanization transition On the relevance of percolation theory to the vulcanization transition

2001-03-28

arxiv.org/abs/cond-mat/0103583v1

Phys. Rev. E 64, 026119 (2001)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 figures

Scientific paper

10.1103/PhysRevE.64.026119

The relationship between vulcanization and percolation is explored from the perspective of renormalized local field theory. We show rigorously that the vulcanization and percolation correlation functions are governed by the same Gell--Mann-Low renormalization group equation. Hence, all scaling aspects of the vulcanization transition are reigned by the critical exponents of the percolation universality class.

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