Scaling properties of weak chaos in nonlinear disordered lattices
- We study the discrete nonlinear Schrodinger equation with a random potential in one dimension. It is characterized by the length, the strength of the random potential, and the field density that determines the effect of nonlinearity. Following the time evolution of the field and calculating the largest Lyapunov exponent, the probability of the system to be regular is established numerically and found to be a scaling function of the parameters. This property is used to calculate the asymptotic properties of the system in regimes beyond our computational power.
| Author details: | Arkadij PikovskijORCiDGND, Shmuel Fishman |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.83.025201 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Volume: | 83 |
| Issue: | 2 |
| Number of pages: | 4 |
| Funding institution: | Israel Science Foundation (ISF); U.S.-Israel Binational Science Foundation (BSF); Minerva Center of Nonlinear Physics of Complex Systems; Shlomo Kaplansky academic chair |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
