Macroscopic Properties of Random and Quasiperiodic Media

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1992
Accession Number
ADA255984

Entities

People

  • Kenneth M. Golden

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Conductivity
  • Electronic Components
  • Electronic Equipment
  • Films
  • Inequalities
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Percolation
  • Resistors
  • Semiconductors
  • Spine
  • Thick Films
  • Transport Properties
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design