Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 47, Issue 33, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/33/335101
Keywords
Anderson localization; nonlinearity; subdiffucion
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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 a 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 a 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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