The Logistic Function in Glass Transition Models of Amorphous Polymers: A Theoretical Framework for Isobaric Cooling Processes

• Published in: Macromolecular theory and simulations Vol. 33; no. 6
• Main Author: Corbisieri, Claudio
• Format: Journal Article
• Language: English
• Published: Weinheim Wiley Subscription Services, Inc 01.11.2024
• Subjects: Amorphous materials; amorphous polymer; Continuity (mathematics); Cooling; Differential equations; Exact solutions; Functions (mathematics); glass transition; Glass transition temperature; heat capacity; logistic function; Mathematical functions; Mathematical models; Ordinary differential equations; Polymers; Pressure dependence; Riccati equation; State variable; Temperature dependence; Thermal expansion; thermal expansion coefficient

Studying the macroscopic‐phenomenological behavior of amorphous polymers at glass transition is often subject to limitations because the ordinary differential equations that describe the material behavior require numerical solution. To avoid these limitations, ad‐hoc‐formulated models of the glass t...