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 |
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Article number | 031105 |
Pages (from-to) | 311051-311057 |
Number of pages | 6 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 64 |
Issue number | 3 I |
DOIs | |
Publication status | Published - Sept 2001 |