Abstract
It is shown under very general conditions that the intermediate scattering function for the generalized Rouse—Zimm model always takes the simple form G(K, t) α exp[− K 2( k B T/f) t], when the scattering vector K becomes sufficiently large. (Here k B is Boltzmann's constant, T is the absolute temperature and f is the individual bead friction factor.) A microscopic formulation for the bulk modulus and friction factor density of a gel network is incorporated into the viscoelastic continuum model of Tanaka et al. The resulting expression for the apparent long-wavelength diffusion coefficient of the gel is D G = ( k B T/f)2(1 - 2/Φ), where Φ is the network functionality.
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