| Zugriffsnummer | 36742 |
| Dokumenttyp | Zeitschriftenartikel |
| Sprache | Englisch |
| Titel | Superdiffusion, large-scale synchronization, and topological defects |
| Autor(in); Institution |
Großmann, Robert; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
Peruani, Fernando; Université de Nice Sophia Antipolis, Laboratoire J.A. Dieudonné, Nice, FRANCE
Bär, Markus; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
|
| Quelle/Jahr | Physical Review E: 93 (2016), 040102-1 - 040102-6 |
| ISSN | 1539-3755 (PRINT) ; 1538-4519 (ONLINE) ; 2470-0045 |
| DOI | |
| Verlag | Ridge, NY: American Physical Society |
| Freie Schlagworte | synchronization ; statistical physics ; stochastic analysis methods ; anomalous transport |
| Zusammenfassung | We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker Change randomly, hereby introducing an additional, independent source of fluctuations, thus constituting the intrinsic nonequilibrium nature of the temporal dynamics. We employ this paradigmatic model system to discuss how the emergence of order is affected by the motion of individual entities. In particular, we consider both normal diffusive motion and superdiffusion. A non-Hamiltonian field theory including multiplicative noise terms is derived which describes the nonequilibrium dynamics at the macroscale. This theory reveals a defect-mediated transition from incoherence to quasi-long-range order for normal diffusion of oscillators in two dimensions, implying a power-law dependence of all synchronization properties on system size. In contrast, superdiffusive transport suppresses the emergence of topological defects, thereby inducing a continuous synchronization transition to long-range order in two dimensions. These results are consistent with particle-based simulations. |
