Pan Wang, Tian-Tian Li, Sandrine Hoppe, Guo-Hua Hu, Fen-Er Chen
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Reevaluating Analytical Approximations of Fick's Second Law: A Computational Perspective
This study examines the limitations of classical analytical approximations of Fick's second law of diffusion and proposes a computational approach to determine the diffusion coefficient (D) using the entire diffusion process data. Traditional approximations rely on short-time diffusion data, potentially leading to misinterpretations. The computational method, validated with experimental data on liquid water diffusion in poly(lactic acid) and oxygen diffusion in poly(ethylene terephthalate), demonstrates higher accuracy and broader applicability. This approach challenges the common assumption that deviations from analytical approximations imply non-Fickian behavior, offering a more reliable method for diffusion analysis.
期刊介绍:
Macromolecular Theory and Simulations is the only high-quality polymer science journal dedicated exclusively to theory and simulations, covering all aspects from macromolecular theory to advanced computer simulation techniques.