One-Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems

被引：14

作者：

Bodyfelt, Joshua D. ^{[1
,2
,3
]}

Kottos, Tsampikos ^{[1
]}

Shapiro, Boris ^{[4
]}

机构：

[1] Wesleyan Univ, Dept Phys, Middletown, CT 06459 USA

[2] MPI Dynam & Self Org, D-37073 Gottingen, Germany

[3] MPI Phys Complex Syst, D-01187 Dresden, Germany

[4] Technion Israel Inst Technol, IL-32000 Haifa, Israel

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 104卷 / 16期

关键词：

DIMENSIONAL HAMILTONIAN-SYSTEMS; PARTIAL DIFFERENCE-EQUATIONS; ANDERSON LOCALIZATION; DISCRETE BREATHERS; PERIODIC-SOLUTIONS; DELOCALIZATION; MATRICES; LATTICES; LENGTH; WAVES;

D O I：

10.1103/PhysRevLett.104.164102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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