On the validity of the Gibbs–diMarzio theory of the glass transition of lattice polymers

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Abstract
The derivation of the Gibbs–diMarzio theory is reconsidered in the framework of more general theories of complex fluids composed of polymers. Basic approximations are to model the polymers as nonreversal random walks and to reduce the equation of state to a van der Waals‐like form. Taking the criticism of Milchev on Flory’s first order transition of semiflexible lattice polymers into account, it can be shown that the transition temperature of the Gibbs–diMarzio glass transition is shifted towards a lower temperature. For the limiting case of an infinitely high coordination number, the transition temperature is even vanishing.

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