Correlations and hyperuniformity in the avalanche size of the Oslo Model

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Title: Correlations and hyperuniformity in the avalanche size of the Oslo Model
Authors: Garcia Millan, R
Pruessner, G
Pickering, L
Christensen, K
Item Type: Journal Article
Publication Date: 2018-07-17
Abstract: 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 $\lambda=0$ . 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.
Issue Date: 17-Jul-2018
Date of Acceptance: 19-Jun-2018
ISSN: 1286-4854
Publisher: European Physical Society
Journal / Book Title: Europhysics Letters: a letters journal exploring the frontiers of physics
Volume: 122
Issue: 5
Copyright Statement: © EPLA, 2018. This is an author-created, un-copyedited version of an article accepted for publication in Europhysics Letters. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
01 Mathematical Sciences
02 Physical Sciences
Fluids & Plasmas
Publication Status: Published
Embargo Date: 2019-07-17
Article Number: 50003
Appears in Collections:Condensed Matter Theory
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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