2017/10/31 by Rosalba Garcia-Millan, Gunnar Pruessner, L. Pickering +2 · 17 citations
Economics, Econometrics and Finance · Environmental Science · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Ecosystem dynamics and resilience #Geography #Physical geography #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #msc:60G99
paper · pdf · doi:10.1209/0295-5075/122/50003
published in Europhysics Letters (EPL) 122(5), 50003 (Institute of Physics) · 11 pages, 7 figures
openalex publication_date 2018/07/17 · arxiv created 2018/08/05 · arxiv updated 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.