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PreprintCC BY 4.0arXiv

Nonlinear Physics and Self-Organized Criticality in Astrophysics

Abstract

The definition of self-organized criticality (SOC) is ambiguous and controversial. Here we discuss the nonlinear physics of six basic SOC definitions, such as: phase transitions, fractal structures, power laws, SOC contingency, exponential growth, and diffusive decay. Statistics of SOC events or avalanche processes can be inferred from their size distributions, or from their spatio-temporal evolution.

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BibTeX
@misc{aschwanden2026nonlinear,
  title = {{Nonlinear Physics and Self-Organized Criticality in Astrophysics}},
  author = {Markus J. Aschwanden},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01119},
  eprint = {2611.01119},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01119},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonlinear Physics and Self-Organized Criticality in Astrophysics
AU  - Markus J. Aschwanden
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01119
UR  - https://arxiv.org/abs/2611.01119
AB  - The definition of self-organized criticality (SOC) is ambiguous and controversial. Here we discuss the nonlinear physics of six basic SOC definitions, such as: phase transitions, fractal structures, power laws, SOC contingency, exponential growth, and diffusive decay. Statistics of SOC events or avalanche processes can be inferred from their size distributions, or from their spatio-temporal evolution.
ER  -