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
Abstract
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 10
9 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.
DEPARTAMENTO FISICA TEORICA