Sub-power law decay of the wave packet maximum in disordered anharmonic chains
Abstract
Abstract We show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investigation are Klein–Gordon and nonlinear disordered Schrödinger-type chains, characterized by a harmonic onsite disordered potential and quartic nearest-neighbour coupling. Our results apply in the long-time limit, hold almost surely, and are valid for arbitrary finite energy values.
Fields of Study & Subjects
Nonlinear Photonic Systems
Acoustic Wave Resonator Technologies
Advanced Fiber Optic Sensors
Publication details
- Journal / source
- Nonlinearity
- Publisher
- IOP Publishing
- Volume
- 39
- Issue
- 4
- Pages
- 045002–045002
- Publication date
- 7 April 2026
- Language
- EN