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Strong anomaly in diffusion generated by iterated maps | | J Dräger
; J Klafter
; | | Date: |
26 Jun 2000 | | Journal: | Phys Rev Lett, 84 (26 Pt 1), 5998-6001 | | Abstract: | We investigate the diffusion generated deterministically by periodic iterated maps that are defined by x(t+1) = x(t)+ax(z)(t)exp[-(b/x(t))(z-1)], z>1. It is shown that the obtained mean squared displacement grows asymptotically as sigma(2)(t) approximately ln (1/(z-1))(t) and that the corresponding propagator decays exponentially with the scaling variable |x|/square root of (sigma(2)(t))]. This strong diffusional anomaly stems from the anomalously broad distribution of waiting times in the corresponding random walk process and leads to a behavior obtained for diffusion in the presence of random local fields. A scaling approach is introduced which connects the explicit form of the maps to the mean squared displacement. | | Source: | PubMed, pmid10991108 | | Services: | Forum | Review | Favorites | |
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