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Transition from self-organized criticality towards self-organized bistability

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  • Aliakbarian, Navid
  • Moghimi-Araghi, Saman

Abstract

We study the transition from Self-Organized Criticality (SOC) to Self-Organized Bistability (SOB) in sandpile models by introducing a facilitation mechanism, parameterized by a control variable λ. Our results show that SOB-like features emerge in finite systems but diminish as the system size increases, indicating that this mechanism does not preserve the SOB behavior in the thermodynamic limit. To analyze this behavior, we employ finite-size scaling and introduce a novel renormalization scheme in which λ acts as a “running parameter”, allowing us to extract its β function. This analysis demonstrates that facilitation behaves as an irrelevant perturbation: the system remains on the critical hyper-plane, and its large-scale critical properties are ultimately governed by the same fixed point as in SOC.

Suggested Citation

  • Aliakbarian, Navid & Moghimi-Araghi, Saman, 2026. "Transition from self-organized criticality towards self-organized bistability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).
    • Handle: RePEc:eee:phsmap:v:682:y:2026:i:c:s0378437125008003
    DOI: 10.1016/j.physa.2025.131148
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    References listed on IDEAS

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