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 〈{}r²〉 scales as t^2ν, 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.
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Sebbah et al. (1993) studied this question.
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