Rubber Elasticity: Solution of the James-Guth Model
B. E. Eichinger
TL;DR
This paper solves the James-Guth model of rubber elasticity, showing it aligns with Flory's established elastic free energy, thus bridging a significant theoretical gap in polymer physics.
Contribution
It provides an exact solution to the James-Guth model, demonstrating its equivalence to Flory's elastic free energy formulation.
Findings
The solution confirms the theoretical consistency between James-Guth and Flory models.
It offers a comprehensive analytical framework for rubber elasticity.
The results enhance understanding of polymer network elasticity.
Abstract
The solution of the many-body statistical mechanical theory of elasticity formulated by James and Guth in the 1940s is presented. The remarkable aspect of the solution is that it gives an elastic free energy that is essentially equivalent to that developed by Flory over a period of several decades.
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