Final Report on AFOSR-81-0042.

Abstract

A statistical-mechanical model for reversible gelation is developed. This model takes into account solvent effects, which usually are neglected in the calssical theory of gelation. The exact solution of this model is given for the limiting case in which 'loops' or intermolecular interactions may be neglected (Cayley tree). The general phase diagram is obtained and it is shown that, with a particular choice of a solvent, one can realize the interesting situation in which gelation point and consolute point coincide. This point has peculiar properties associated with the simultaneous divergence of 'connectivity' and thermal fluctutation. The recent experimental data of Tanka and collaborators are in good qualitative agreement with the predictions of the model.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA130101

Entities

People

  • H. Eugene Stanley

Organizations

  • Boston University

Tags

DTIC Thesaurus Topics

  • Chemical Bonds
  • Equations
  • Equations Of State
  • Experimental Data
  • Free Energy
  • Lepidoptera
  • Mechanics
  • Molecules
  • Phase
  • Phase Diagrams
  • Phase Transformations
  • Physics
  • Polymers
  • Statistical Mechanics
  • Statistical Thermodynamics
  • Thermodynamics
  • Transitions

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Theoretical Analysis.