We study diffusion in a linear chain where random fields are located at each site and can accept the values ±E with equal probability. While the average density distribution of a random walker scales and is described by a single exponent, it requires an infinite hierarchy of exponents ± to characterize the fluctuations. Their density distribution f(±) is a single-hump function and depends continuously on the magnitude of the field E. © 1988 The American Physical Society.
Roman, H., Bunde, A., Havlin, S. (1988). Fractal measures of diffusion in the presence of random fields. PHYSICAL REVIEW A, GENERAL PHYSICS, 38(4), 2185-2188 [10.1103/PhysRevA.38.2185].
Fractal measures of diffusion in the presence of random fields
Roman H. E.;
1988
Abstract
We study diffusion in a linear chain where random fields are located at each site and can accept the values ±E with equal probability. While the average density distribution of a random walker scales and is described by a single exponent, it requires an infinite hierarchy of exponents ± to characterize the fluctuations. Their density distribution f(±) is a single-hump function and depends continuously on the magnitude of the field E. © 1988 The American Physical Society.
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