Absence of Wavepacket Diffusion in Disordered Nonlinear Systems

Details Absence of Wavepacket Diffusion in Disordered Nonlinear Systems Absence of Wavepacket Diffusion in Disordered Nonlinear Systems

2007-10-13

arxiv.org/abs/0710.2621v1

Phys. Rev. Lett. 100, 084103 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.100.084103

We study the spreading of an initially localized wavepacket in two nonlinear chains (discrete nonlinear Schroedinger and quartic Klein-Gordon) with disorder. Previous studies suggest that there are many initial conditions such that the second moment of the norm and energy density distributions diverge as a function of time. We find that the participation number of a wavepacket does not diverge simultaneously. We prove this result analytically for norm-conserving models and strong enough nonlinearity. After long times the dynamical state consists of a distribution of nondecaying yet interacting normal modes. The Fourier spectrum shows quasiperiodic dynamics. Assuming this result holds for any initially localized wavepacket, a limit profile for the norm/energy distribution with infinite second moment should exist in all cases which rules out the possibility of slow energy diffusion (subdiffusion). This limit profile could be a quasiperiodic solution (KAM torus).

Affiliated with

Also associated with

No associations

Rating

Absence of Wavepacket Diffusion in Disordered Nonlinear Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Absence of Wavepacket Diffusion in Disordered Nonlinear Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absence of Wavepacket Diffusion in Disordered Nonlinear Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724383