Abstract
The available space fraction for convex solute particles in a random homogeneous and isotropic distribution of convex obstacles is calculated. The application to solute partition coefficients in polymer networks is discussed, and leading corrections due to obstacle-obstacle and solute-solute steric interactions are found. The available space fraction is also calculated when polymers are modeled both as Brownian paths and as Wiener sausages (Brownian paths with thickness). Considering the paths themselves as the solute, we analyze the depleted layer in a dilute polymer solution near a surface with typical lengthscale much larger than that of the polymers.
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