The structural properties of self-avoiding walks (SAWs) on the backbone of the incipient percolation cluster in both d=2 and d=3 were studied by using exact enumeration techniques. It was found that SAWs display multifractal behavior. In general, the results resolve previous inconsistencies regarding the suggested relation μ = p μ.
Ordemann, A., Porto, M., Roman, H., Havlin, S., Bunde, A. (2000). Multifractal behavior of linear polymers in disordered media. PHYSICAL REVIEW E, 61(6 B), 6858-6865 [10.1103/PhysRevE.61.6858].
Multifractal behavior of linear polymers in disordered media
Roman H. E.;
2000
Abstract
The structural properties of self-avoiding walks (SAWs) on the backbone of the incipient percolation cluster in both d=2 and d=3 were studied by using exact enumeration techniques. It was found that SAWs display multifractal behavior. In general, the results resolve previous inconsistencies regarding the suggested relation μ = p μ.
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