title: Anomalous diffusion with log-periodic modulation in a selected time interval.
abstract: 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.
authors.affiliation: Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR) and Departamento de Física FCEyN, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina. lorenapadilla.r@gmail.com
authors.forename: L
authors.initials: L
authors.lastname: Padilla
authors.forename: H O
authors.initials: HO
authors.lastname: Mártin
authors.forename: J L
authors.initials: JL
authors.lastname: Iguain