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Oscar Sotolongo Costa

Publications and source records attributed to Oscar Sotolongo Costa.

2 recordsLinked to original sources

Diffusion regimes in Levy flights with trapping

The diffusion of a walk in the presence of traps is investigated. Different diffusion regimes are obtained considering the magnitude of the fluctuations in waiting times and jump distances. A constant velocity during the jump motion is assumed to avoid the divergence of the mean squared displacement. Using the limit theorems of the theory of Levy stable distributions we have provided a characterization of the different diffusion regimes.

cond-mat.soft↗

Avalanche dynamics and nonexponential relaxation

The theory of SOC, and related avalanche dynamics, is proposed as the origin of the ubiquitous nonexponential relaxation observed in complex systems. Introducing some scaling laws and relations we have obtained that the normalized relaxation function follows an stretched exponential decay and that the frequency spectrum follows a "1/f" noise. Moreover, in the MF aproach the relaxation is found to be exponential.

cond-mat.soft↗