Transport Behavior
Molecular movement through a polymer that does not follow the standard linear relationship with the square root of time defines a specific class of mass transfer. In many flexible packaging films, anomalous diffusion occurs when the rate of penetrant mobility is similar to the rate of polymer chain relaxation. This behavior typically appears in glassy polymers where the structural response to a solvent or moisture is slower than the actual movement of the molecules.
Designers of high barrier coatings must account for these non-linear rates to prevent premature failure of the shelf life calculations.
Non-Fickian Transport
While standard diffusion assumes a constant state of the material, this specific transport mode involves a time-dependent change in the polymer structure. In the case of anomalous diffusion, the penetrant enters the material and causes the chains to swell or to rearrange, which then creates more space for additional molecules to enter. This positive feedback loop results in a front of liquid or gas that moves through the substrate at a constant velocity.
Such a mechanism is common in lamination adhesives exposed to high humidity or specialized cleaning solvents.
Protective Barrier
Understanding these rates is necessary for the production of food-grade plastics that must block oxygen or water vapor. Because anomalous diffusion can lead to sudden changes in the permeability of a film, it is measured using gravimetric sorption tests over extended periods. Engineers use these findings to select resins that maintain their mechanical stiffness even when saturated.