Statistical Mechanics Applied to Polymers.
Abstract
This research addresses both the theoretical and experimental aspects of polymers and polymer gelation. Several fundamental advances were made in the theory of polymers by applying the renormalization group and percolation theory. New theoretical formulations include the large-cell Monte Carlo renormalization group and the position-space renormalization group. The model of correlated site percolation was considered in detail. Specific theoretical formulations include a site-bound model of gelation, an extended model of gelation, a model for sol-gel phase boundary, models for vulcanization and gelation when two types of polymer chains are involved, a model for interior correlations in polymer chains, a theory of chain self-interaction, and models for scaling, universality, fluctuations of the cluster numbers, and asymptotic decay of cluster numbers. New generalizations of percolation models include continuum percolation, anisotropic percolation and oriented percolation. The experimental studies, utilizing Raman spectroscopy, of the gelation phase transition have addressed a number of systems including the structure of polyacrylamide gel and acrylamide-bisacrylamide copolymers. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1980
- Accession Number
- ADA100131
Entities
People
- H. Eugene Stanley
Organizations
- Boston University