Accession Number:

ADA255984

Title:

Macroscopic Properties of Random and Quasiperiodic Media

Descriptive Note:

Final rept. 1 Apr 1990-31 Jul 1992,

Corporate Author:

PRINCETON UNIV NJ DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1992-07-31

Pagination or Media Count:

3.0

Abstract:

In a series of papers, we have proven new, fundamental rigorous results about the critical behavior of percolation models. In the discrete case, for a hierarchical model of the conducting backbone, we have proven inequalities on the critical exponent for the conductivity of the random resistor network. Our inequality less than or equal to 2 in three dimensions rules out roughly one fourth of the numerical estimates published over the last 25 years.

Subject Categories:

  • Physical Chemistry
  • Electrical and Electronic Equipment
  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE