Percolation and Critical Behaviour in Many Body Systems.
Abstract
The most important problem which has been tackled in the past 3 years has been the resolution of the discrepancy between series expansions and renormalization group calculations. Many research workers in different parts of the world have been concerned with this problem. The contribution of the King's College group has been to provide additional terms in the high temperature series expansions for the n-vector model, and to analyse the results taking into account the predictions of the renormalization group. Investigations of the statistical properties of a single polymer chain in 3 dimensions have continued using the Domb-Joyce model. The expansion factor in the two parameter approximation has been calculated for the mean square distance from one end of the chain, the mean square radius of gyration, and the probability of ring closure, as a function of excluded volume. Similar calculations have been undertaken for a two dimensional model. A new investigation has been carried out of the percolation exponent Beta. Baxter's exact solution for hard hexagons has been used to throw light on the nature of the virial series for hard core fluids.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 17, 1983
- Accession Number
- ADA127607
Entities
People
- C. Domb
Organizations
- King's College London