Fractal dimensionality of polymer chains

The authors suggest that the concept of fractal dimensionality provides a useful characterisation of the configurational properties of a single polymer. From numerical studies of long polymers traced out by self-avoiding walks on a planar lattice, they find that the fractal dimensionality is well defined and has a constant value for most scales of length of the chain. Renormalisation group theory provides a theoretical basis for the concept of fractal dimensionality in polymers.