Anomalous diffusion with log-periodic modulation in a selected time interval

Details Anomalous diffusion with log-periodic modulation in a selected time interval Anomalous diffusion with log-periodic modulation in a selected time interval

2010-12-18

arxiv.org/abs/1012.4112v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

On certain self-similar substrates the time behavior of a random walk is modulated by logarithmic periodic oscillations on all time scales. We show that if disorder is introduced in a way that self-similarity holds only in average, the modulating oscillations are washed out but subdiffusion remains as in the perfect self-similar case. Also, if disorder distribution is appropriately chosen the oscillations are localized in a selected time interval. Both the overall random walk exponent and the period of the oscillations are analytically obtained and confirmed by Monte Carlo simulations.

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