Statistical Mechanics of the Amorphous Solid State of Randomly Cross-Linked Macromolecules

In the third part of this work, a semi-microscopic statistical-mechanical theory of the elastic properties of the amorphous solid state is presented that accounts for both thermal fluctuations and quenched disorder. It is found that the shear modulus grows continuously from zero at the transition, and does so with the classical exponent, i.e., with the third power of the excess crosslink density. It is also found that, quite surprisingly, the external stresses do not spoil the spherical symmetry of the localization clouds of the particles near the transition.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Date dc:date

10000-01-01

Author dc:creator

• Castillo, Horacio Emilio

Contributors dc:contributor

• Goldbart, Paul M.

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI9921669

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/80664