Diffusion in discrete nonlinear dynamical systems
- 1 September 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 26 (3), 1779-1782
- https://doi.org/10.1103/physreva.26.1779
Abstract
Diffusive processes in one-dimensional discrete chaotic systems are considered. Drift and diffusion coefficients are calculated, which show critical behavior including logarithmic corrections. A Kubo formula for the diffusion coefficient in terms of the time-correlation function is given. Nondiffusive states may exist in certain parameter windows showing drift with broken symmetry or strict localization. Period-doubling bifurcations and states of periodic chaos describing chaotic but nondiffusive drift occur.Keywords
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