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• W2043411481 startingPage "6858" @default.
• W2043411481 abstract "The scaling behavior of linear polymers in disordered media modeled by self-avoiding random walks (SAWs) on the backbone of two- and three-dimensional percolation clusters at their critical concentrations ${p}_{mathrm{c}}$ 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 ${ensuremath{mu}}_{q}$ and enhancement exponents ${ensuremath{gamma}}_{q},$ which depend on q. Our numerical results suggest that the relation ${ensuremath{mu}}_{1}{=p}_{mathrm{c}}ensuremath{mu}$ between the first moment ${ensuremath{mu}}_{1}$ and its regular lattice counterpart ensuremath{mu} is valid." @default.
• W2043411481 created "2016-06-24" @default.
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• W2043411481 date "2000-06-01" @default.
• W2043411481 modified "2023-10-18" @default.
• W2043411481 title "Multifractal behavior of linear polymers in disordered media" @default.
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• W2043411481 doi "https://doi.org/10.1103/physreve.61.6858" @default.
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