Percolation and Low Density Materials: Theory and Applications
Final technical rept. 1 Oct 1981-30 Sep 1985
BOSTON UNIV MA CENTER FOR POLYMER STUDIES
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A principal component of the contract has been the development of the renormalization group, with specific emphasis on applications to percolation and random materials. The main accomplishment is summarized in a series of several papers. One of these was identified by the Science Citation Index as being among the 100 most-cited physics papers during 1980-1981. This paper dealt with the problem of how the Wilson renormalization group could be applied to random systems in a fashion that yielded specific numbers that could be compared with real systems. The approach developed rests on the essential idea of percolation, that elements must connect across a macroscopic distance. This approach was extended to continuum percolation shortly thereafter, confirming that results first obtained for lattice systems also hold when there is no lattice. Other random systems, like linear and branched polymers, were found to be made tractable by the suitable modifications of our original approach. Keywords Clusters Nucleation and Metastable states.
- Physical Chemistry