Multifractal behavior of linear polymers in disordered media

Details Multifractal behavior of linear polymers in disordered media Multifractal behavior of linear polymers in disordered media

2000-03-20

arxiv.org/abs/cond-mat/0003328v1

Physics

Condensed Matter

11 pages, 12 postscript figures, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.61.6858

The scaling behavior of linear polymers in disordered media modelled by self-avoiding random walks (SAWs) on the backbone of two- and three-dimensional percolation clusters at their critical concentrations p_c is studied. All possible SAW configurations of N steps on a single backbone configuration are enumerated exactly. We find that the moments of order q of the total number of SAWs obtained by averaging over many backbone configurations display multifractal behavior, i.e. different moments are dominated by different subsets of the backbone. This leads to generalized coordination numbers \mu_q and enhancement exponents \gamma_q, which depend on q. Our numerical results suggest that the relation \mu_1 = p_ c \mu between the first moment \mu_1 and its regular lattice counterpart \mu is valid.

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