Artículo
Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
Fecha de publicación:
08/2014
Editorial:
IOP Publishing
Revista:
Journal of Physics A: Mathematical and Theoretical
ISSN:
1751-8113
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Anderson Localization
,
Nonlinearity
,
Subdiffussion
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Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Ermann, Leonardo; Shepelyansky, D. L.; Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 47; 33; 8-2014; 1-9; 335101
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