Statistical Mechanics of the Amorphous Solid State of Randomly Cross-Linked Macromolecules
Castillo, Horacio Emilio
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https://hdl.handle.net/2142/80664
Description
Title
Statistical Mechanics of the Amorphous Solid State of Randomly Cross-Linked Macromolecules
Author(s)
Castillo, Horacio Emilio
Issue Date
1999
Doctoral Committee Chair(s)
Goldbart, Paul M.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
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.
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