Anomalous diffusion in two-dimensional Anderson-localization dynamics

Patrick Sebbah, Didier Sornette, Christian Vanneste

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


Extensive numerical simulations of wave packets and pulses in two-dimensional (2D) random systems exhibit a subdiffusion at intermediate times, shown to be linked to the fractal structure of 2D eigenstates. The mean-square pulse width r-2 scales as t2ν, with 0≤ν≤1/2 being a continuous function of the disorder strength. Good agreement is found between numerical values of ν and weak-localization predictions. At very long times, the subdiffusive regime crosses over to localization with long power-law asymptotics.

Original languageEnglish
Pages (from-to)12506-12510
Number of pages5
JournalPhysical Review B
Issue number17
StatePublished - 1993
Externally publishedYes


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