A self-consistent theory of localization in nonlinear random media. (14th November 2016)

• Record Type: Journal Article
• Authors: Cherroret, Nicolas
• Is Part Of: Journal of physics. Volume 29:Number 2(2017)
• Publication Date: 2016-11-14
• Subjects: Anderson localization -- nonlinearity -- self-consistent theory; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/0953-8984/29/2/024002
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: The self-consistent theory of localization is generalized to account for a weak quadratic nonlinear potential in the wave equation. For spreading wave packets, the theory predicts the destruction of Anderson localization by the nonlinearity and its replacement by algebraic subdiffusion, while classical diffusion remains unaffected. In 3D, this leads to the emergence of a subdiffusion-diffusion transition in place of the Anderson transition. The accuracy and the limitations of the theory are discussed.