Connecting the vulcanization transition to percolation

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

Connecting the vulcanization transition to percolation

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

Physics and Astronomy

Stony Brook University

University of Illinois at Urbana-Champaign
University of Manchester

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 language	English
Article number	031105
Pages (from-to)	311051-311057
Number of pages	7
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	3 I
State	Published - Sep 2001

Cite this

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title = "Connecting the vulcanization transition to percolation",

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.",

author = "Weiqun Peng and Goldbart, \{Paul M.\} and McKane, \{Alan J.\}",

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T1 - Connecting the vulcanization transition to percolation

AU - Peng, Weiqun

AU - Goldbart, Paul M.

AU - McKane, Alan J.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0035443449

M3 - Article

SN - 1539-3755

VL - 64

SP - 311051

EP - 311057

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 3 I

M1 - 031105

ER -

Connecting the vulcanization transition to percolation

Abstract

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