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Observation and Analysis of Blinking Surface-enhanced Raman Scattering
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Apparent Power Laws Can Occur without Criticality.

Lawrence S Schulman1

  • 1Physics Department, Clarkson University, Potsdam, NY 13699-5820, USA.

Entropy (Basel, Switzerland)
|November 27, 2021
PubMed
Summary
This summary is machine-generated.

Power laws do not always indicate self-organized criticality. These statistical patterns can arise from systems not at criticality or from other underlying mechanisms, challenging common assumptions.

Keywords:
SOCcriticalitypower laws

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Area of Science:

  • Complex systems science
  • Statistical physics

Background:

  • Power law distributions are frequently observed in natural and social phenomena.
  • Their presence is often interpreted as evidence for self-organized criticality (SOC).

Purpose of the Study:

  • To critically examine the assumption that power laws exclusively signify self-organized criticality.
  • To explore alternative explanations for the emergence of power law distributions.

Main Methods:

  • Review of theoretical models exhibiting power law behavior.
  • Analysis of simulation results from systems both at and away from critical states.

Main Results:

  • Demonstration that power laws can emerge in systems not operating at a critical point.
  • Identification of non-critical mechanisms capable of generating power law statistics.
  • Highlighting that power laws are not a unique signature of self-organized criticality.

Conclusions:

  • The interpretation of power laws solely as indicators of self-organized criticality is an oversimplification.
  • Further investigation is required to distinguish between different origins of power law distributions in complex systems.