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artículo con referato
"Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions"
L. Ermann and D.L. Shepelyansky
J. Phys. A: Math. Theor. 47(33) (2014) 335101/1-9
We study numerically the frequency modulated kicked nonlinear rotator with effective dimension d=1,2,3,4. We follow the time evolution of the model up to 109 kicks and determine the exponent α of subdiffusive spreading which changes from 0.35 to 0.5 when the dimension changes from d = 1 to 4. All results are obtained in a regime of relatively strong Anderson localization well below the Anderson transition point existing for d = 3,4. We explain that this variation of the exponent is different from the usual d- dimensional Anderson models with local nonlinearity where α drops with increasing d. We also argue that the renormalization arguments proposed by Cherroret N et al (arXiv:1401.1038) are not valid for this model and the Anderson model with local nonlinearity in d = 3.
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