Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-03-09
Phys. Rev. Lett. 104, 164102 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 3 figures submitted to Physical Review Letters
Scientific paper
10.1103/PhysRevLett.104.164102
We show, using detailed numerical analysis and theoretical arguments, that
the normalized participation number of the stationary solutions of disordered
nonlinear lattices obeys a one-parameter scaling law. Our approach opens a new
way to investigate the interplay of Anderson localization and nonlinearity
based on the powerful ideas of scaling theory.
Bodyfelt Joshua D.
Kottos Tsampikos
Shapiro Boris
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