Cooperative diffusion constant, related

In order to estimate the first contribution from the elastic adsorption, a C gel picture is used, in which the gel is a collection of adjacent blobs of radius that has a characteristic relaxation time Ti / >coop, where Dcoop r/bnrji is the cooperative diffusion constant of the gel, T is temperature and t] is the viscosity of the solvent [80]. Each blob is associated with a partial polymer chain (the polymer chain between two next-neighboring cross-linking points). The scaling theory relates this molecular structure of the gel with its elastic modulus E by the equation [80]. 

The cooperative diffusion constant is related to the network properties through... 

A fluctuation dissipation theorem directly relates the sedimentation coefficient to the cooperative diffusion constant. 

The reaction of an amorphous polymer with a solvent is dependent upon diffusion of the attacking reactant. If the polymer is at a temperature above its Tg there is a constant cooperative segmental motion that favors diffusion from hole to hole in the polymer mass wherein hole formation in a polymer above its Tg is related to the relative mobility of the diffusing molecules. The rate of diffusion is dependent on the temperature, the molecular size, and the extent of the compatibility of the corrosive molecules with those of the polymer (36). 

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