TY - JOUR
T1 - Anomalous diffusion in two-dimensional Anderson-localization dynamics
AU - Sebbah, Patrick
AU - Sornette, Didier
AU - Vanneste, Christian
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/0001685144
U2 - 10.1103/physrevb.48.12506
DO - 10.1103/physrevb.48.12506
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AN - SCOPUS:0001685144
SN - 0163-1829
VL - 48
SP - 12506
EP - 12510
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 17
ER -