Breakdown of the Universality Hypothesis in Directed Abelian Sandpile\n Models

1998/06/25 by Rick Tully, Tully, Rick, George Reiter +1
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9806310

arxiv created 1998/06/25 · openalex publication_date 1998/06/25 · arxiv updated 2009/11/30 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28

Abstract

We show that in a broad class of directed abelian sandpile models that had\nbeen expected to have the same exponents as the Dhar-Ramaswamy model, the\navalanche exponent depends upon the details of the interaction, calling into\nquestion the general existence of universality classes in self organized\ncritical models.\n

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