Random walks with intersections: Static and dynamic fractal properties
作者： Raf Dekeyser , Amos Maritan , Attilio Stella
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摘要: Static and dynamic properties of the fractal sets generated by free k-tolerant walks are analyzed in detail. A rather complete picture is obtained for set intersections random walks, using correlation functions like probability visiting one or more sites m times. Monte Carlo enumerations, jointly with sophisticated numerical analysis, used to determine dimension self-intersections walks. The results throw new light on Flory argument polymer chains excluded-volume effects; universal behavior explained a coarse-grained reinterpretation approximation. Diffusion same class allows us discuss also their universality respect dynamical properties. In particular, spectral equal (4/3 walk d=2 dimensions.
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