Abstract
Equilibrium swelling and stress-strain behaviour of d-dimensional polymer networks on fractal lattices is studied in single-chain approximation using the equivalence between various unit arrangements of an N-segment chain on a fractal and the diffusion of a random walker on fractals. The results indicate that for chains on fractal lattices only the O'Shaugnessy-Procaccia (OP) approach of the propagator function of the diffusing particle should be used as minimal model. The OP case is in accord with the physical intuition, since it increases the elastic force and modulus due to the decrease of configurations available during stretching.
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