Percolation and Critical Behaviour in Many Body Systems.
Abstract
Many of the gaps in the scaling theory of percolation clusters for random systems have been filled during the past three years. These have led to a better understanding of the statistics of lattice animals, and of the nature of the percolation transition. Calculations have been undertaken to determine parameters which characterize the structure of the infinite percolating cluster. Investigations have been initiated of the properties of systems with correlated percolation (i.e., in which the probability of occupation of a given site influences its neighbours). Work has continued on high temperature expansions for the Ising and classical Heisenberg models in an attempt to remove the discrepancies with renormalization group calculations. Particular attention has been devoted to calculations in 4 dimensions because of the marginal significance of this dimension. Further investigations have been made of the statistical properties of a single polymer chain using the Domb-Joyce model, and of particular properties of self-avoiding walks. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1979
- Accession Number
- ADA082240
Entities
People
- C. Domb
Organizations
- King's College London