Size-dependent penetrant diffusion in polymer glasses

Soft Matter ◽  
2018 ◽  
Vol 14 (21) ◽  
pp. 4226-4230 ◽  
Author(s):  
Dong Meng ◽  
Kai Zhang ◽  
Sanat K. Kumar

The universal scaling behavior of the diffusion coefficients D/T as a function of the “effective” penetrant size (σs − σc)/(α − α0).

2020 ◽  
Vol 316 ◽  
pp. 113824 ◽  
Author(s):  
S. Cheng ◽  
M. Musiał ◽  
Z. Wojnarowska ◽  
K.L. Ngai ◽  
J. Jacquemin ◽  
...  

1994 ◽  
Vol 63 (11) ◽  
pp. 4200-4205 ◽  
Author(s):  
Ryuji Abe ◽  
Masakiyo Horioka ◽  
Izumi Sakumiya ◽  
Satoshi Nakamura

The influence of structural heterogeneity, in the form of a non-uniform pore size distribution, on the isotherms and surface diffusion coefficients for monolayer physical adsorption is studied. A pore size dependent langmuirian isotherm is used along with consideration of equality of chemical potentials at the pore mouths at an intersection. The diffusion is modelled by a recently developed random walk formulation. It is found that the surface diffusion coefficients are strongly influenced by the heterogeneity and have a stronger increase with overall coverage than that predicted by the Darken equation. The results are found to match the experimental data of P. C. Carman and F. A. Raal on the diffusion of carbon dioxide in carbon black without the use of a fitting parameter.


Soft Matter ◽  
2018 ◽  
Vol 14 (41) ◽  
pp. 8249-8252 ◽  
Author(s):  
Piotr Polanowski ◽  
Andrzej Sikorski

A universal scaling behavior of chain size at the percolation threshold is presented.


2021 ◽  
Vol 103 (8) ◽  
Author(s):  
H. Sakai ◽  
Y. Matsumoto ◽  
Y. Haga ◽  
Y. Tokunaga ◽  
S. Kambe

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