INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
Anomalous diffusion with log-periodic modulation in a selected time interval
L. PADILLA; H. O. MÁRTIN; J. L. IGUAIN
PHYSICAL REVIEW E
AMER PHYSICAL SOC
Año: 2010 p. 201051 - 201051
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.