Regensburg 2019 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 31: Nonlinear Dynamics, Synchronization and Chaos
DY 31.11: Vortrag
Mittwoch, 3. April 2019, 12:45–13:00, H20
Correlations and hyperuniformity in the avalanche size of the Oslo model — •Rosalba Garcia-Millan1, Gunnar Pruessner1, Luke Pickering2, and Kim Christensen2 — 1Department of Mathematics, Imperial College London - London SW7 2AZ, UK — 2Department of Physics, Blackett Laboratory, Imperial College London - London SW7 2AZ, UK
Certain random processes display anticorrelations resulting in local Poisson-like disorder and global order, where correlations suppress fluctuations. Such processes are called hyperuniform. Using a map to an interface picture we show via analytic calculations that a sequence of avalanche sizes of the Oslo model is hyperuniform in the temporal domain with the minimal exponent λ=0. We identify the conserved quantity in the interface picture that gives rise to the hyperuniformity in the avalanche size. We further discuss the fluctuations of the avalanche size in two variants of the Oslo model. We support our findings with numerical results.