Douglas, J.
, Karl, F.
and Xu, W.
(2016),
Polymer Glass-Formation in Variable Dimension, Advanced Chemical Physics
(Accessed June 15, 2025)
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Polymer Glass-Formation in Variable Dimension
Published
Author(s)
, Freed Karl, Wensheng Xu
Abstract
We explore the nature of glass-formation in variable spatial dimensionality (d) based on the generalized entropy theory, a synthesis of the Adam-Gibbs model with direct computation of the configurational entropy of polymer fluids using an established statistical mechanical model. We find that structural relaxation in the fluid state asymptotically becomes Arrhenius in the d → ∞ limit and that the fluid transforms upon sufficient cooling above a critical dimension near d = 8 into a dense amorphous state with a finite positive residual configurational entropy. Direct computations of the isothermal compressibility and thermal expansion coefficient, taken to be physical measures of packing frustration, demonstrate that these fluid properties strongly correlate with the fragility of glass-formation.Citation
Advanced Chemical Physics
Pub Type
Journals
Keywords
glass-formation, variable dimensionality, Adam-Gibbs theory, polymer melts, critical dimension
Citation
Issues
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Created January 14, 2016, Updated April 23, 2020