Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 31: Poster: Statistical Physics
DY 31.23: Poster
Mittwoch, 20. März 2024, 15:00–18:00, Poster C
Correlation, crossover and broken scaling in the Abelian Manna Model — •Letian Chen1, Hoai Nguyen Huynh1,2, and Gunnar Pruessner1 — 1Department of Mathematics, Imperial College London, United Kingdom — 2Institute of High Performance Computing, Agency for Science, Technology and Research, Singapore
The role of correlations in self-organised critical (SOC) phenomena is investigated by studying the Abelian Manna Model (AMM) in two dimensions. Local correlations of the debris left behind after avalanches are destroyed by re-arranging particles on the lattice between avalanches, without changing the one-point particle density. It is found that the spatial correlations are not relevant to small avalanches, while changing the scaling of the large (system-wide) ones, yielding a crossover in the model's scaling behaviour. This crossover breaks the simple scaling observed in normal SOC.
Keywords: Self-organised criticality; Correlation functions; Finite-size scaling; Universality