Self-avoiding walks with a curvature-dependent energy are studied with renormalization group methods on some fractal lattices. Fixed points corresponding to universal and non-universal behaviours are generally present. However initial conditions of the renormalization group recursions can prevent non-universality. When universality holds the persistence length is found to diverge much faster than in the periodic lattice as the curvature energy increases.
Self-avoiding Walks With Curvature Energy On Fractals
MARITAN, AMOS
1992
Abstract
Self-avoiding walks with a curvature-dependent energy are studied with renormalization group methods on some fractal lattices. Fixed points corresponding to universal and non-universal behaviours are generally present. However initial conditions of the renormalization group recursions can prevent non-universality. When universality holds the persistence length is found to diverge much faster than in the periodic lattice as the curvature energy increases.File in questo prodotto:
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