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Dragon kings in self-organized criticality systems

Guram Mikaberidze

Arthur Plaud

Raissa M. D'Souza

  • Department of Mathematics, University of California, Davis, California 95616, USA

  • Département de Physique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France

  • University of California, Davis, California 95616, USA and Santa Fe Institute, Santa Fe, New Mexico 87501, USA

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Phys. Rev. Research 5, L042013 – Published 19 October, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L042013

Abstract

The spontaneous emergence of scale invariance, called self-organized criticality (SOC), is often attributed to a second-order absorbing-state phase transition (ASPT). Many real-world systems display SOC, yet with extreme events overrepresented, called dragon kings (DKs) and causing significant disruption. We show analytically that the trade-off between driving impulse and dissipation rate can create DKs in a second-order ASPT. This establishes that DKs exist in SOC systems, reveals a taxonomy of DKs, and shows that larger dissipation and smoother driving lower risk of extreme events.

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Outline

Information

Phys. Rev. Research 5, L042013– Published 19 October, 2023
  • Received 9 December 2022
  • Accepted 6 September 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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