The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Universal Spreading of Wave Packets in Disordered Nonlinear Systems
Open accessAbstract
In the absence of nonlinearity all eigenmodes of a chain with disorder are spatially localized (Anderson localization). The width of the eigenvalue spectrum and the average eigenvalue spacing inside the localization volume set two frequency scales. An initially localized wave packet spreads in the presence of nonlinearity. Nonlinearity introduces frequency shifts, which define three different evolution outcomes: (i) localization as a transient, with subsequent subdiffusion; (ii) the absence of the transient and immediate subdiffusion; (iii) self-trapping of a part of the packet and subdiffusion of the remainder. The subdiffusive spreading is due to a finite number of packet modes being resonant. This number does not change on average and depends only on the disorder strength. Spreading is due to corresponding weak chaos inside the packet, which slowly heats the cold exterior. The second moment of the packet grows as t;{alpha}. We find alpha=1/3.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Messiah, A. (1961) · Cited by 16,012
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
Transport and Anderson localization in disordered two-dimensional photonic lattices
Schwartz, T., Bartal, G., Fishman, S., & Segev, M. (2007) · Nature · doi:10.1038/nature05623 · Cited by 1,600
Flach, S., & Willis, C. R. (1998) · Physics Reports · doi:10.1016/s0370-1573(97)00068-9 · Cited by 1,221
Self-citationMacKay, R. S., & Aubry, S. (1994) · Nonlinearity · doi:10.1088/0951-7715/7/6/006 · Cited by 990
Anderson Localization and Nonlinearity in One-Dimensional Disordered Photonic Lattices
Lahini, Y., Avidan, A., Pozzi, F., Sorel, M., Morandotti, R., Christodoulides, D. N., & Silberberg, Y. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013906 · Cited by 978
Statistics of energy levels and eigenfunctions in disordered systems
Mirlin, A. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00091-5 · Cited by 684
Destruction of Anderson Localization by a Weak Nonlinearity
Pikovsky, A. S., & Shepelyansky, D. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.094101 · Cited by 419
Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
Sanchez-Palencia, L., Clément, D., Lugan, P., Bouyer, P., Shlyapnikov, G. V., & Aspect, A. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.210401 · Cited by 313
Cited by
Anderson localization of light
Segev, M., Silberberg, Y., & Christodoulides, D. N. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.30 · Cited by 813
Realization of discrete quantum billiards in a two-dimensional optical lattice
Krimer, D. O., & Khomeriki, R. (2011) · Physical Review A · doi:10.1103/physreva.84.041807 · Cited by 35
Self-citation
Metadata
- Authors
- Flach, S., Krimer, D. O., & Skokos, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-01-14
- Volume
- 102
- Issue
- 2
- Pages
- 024101-024101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2011721894
- Cited by
- 317
- References
- 21
- FWCI
- 27.33
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Universal Spreading of Wave Packets in Disordered Nonlinear Systems. https://app.cochat.ai/papers/10.1103/physrevlett.102.024101
- The paper
- Flach, S., Krimer, D. O., & Skokos, C. (2009). Universal Spreading of Wave Packets in Disordered Nonlinear Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.102.024101
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
