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Periodic orbit theory of strongly anomalous transport

arXiv:nlin/0310025 · doi:10.1088/0305-4470/37/1/006

Abstract

We establish a deterministic technique to investigate transport moments of arbitrary order. The theory is applied to the analysis of different kinds of intermittent one-dimensional maps and the Lorentz gas with infinite horizon: the typical appearance of phase transitions in the spectrum of transport exponents is explained.

22 pages, 10 figures, revised version