Abstract

This chapter considers a model polymer glass-forming (GF) liquid in d-dimensional space at constant pressure and focuses on how changes in d alter the various measures of the fragility and the characteristic temperatures of glass-formation. This approach is based on the generalized entropy theory (GET), which is a combination of the lattice cluster theory (LCT) for the thermodynamics of polymeric fluids and the AG theory linking the configurational entropy (sc) to the structural relaxation time (τα), that is, the segmental relaxation time. The chapter shows authors' illustrative computations that are performed for a melt of chains with the structure of polypropylene (PP) in variable d, where a single bending energy for the chain backbone specifies the chain stiffness in the LCT. The temperature dependence of the configurational entropy, without a vibrational component, of the fluid is central to the Adam-Gibbs (AG) model.

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