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Reply to comments on "Simple measure for complexity"

Shiner1, Davison, Landsberg

  • 1Abteilung Nephrologie, Inselspital, CH-3010 Bern, Switzerland.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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This study clarifies that multiple maximum entropies, or "disorders," can exist. The appropriate measure depends on the specific research question, challenging previous definitions of simple complexity.

Area of Science:

  • Statistical Mechanics
  • Information Theory
  • Complex Systems

Background:

  • The concept of
  • The definition of
  • Previous research has explored the relationship between entropy, disorder, and complexity in physical systems.

Purpose of the Study:

  • To address comments regarding the definition and application of maximum entropy measures.
  • To clarify the concepts of "disorder" and "simple complexity" in statistical mechanics.
  • To establish that the choice of entropy measure is context-dependent.

Main Methods:

  • Theoretical analysis of entropy definitions.
  • Critique of existing frameworks for quantifying disorder and complexity.
  • Discussion of the implications for equilibrium and nonequilibrium systems.

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Main Results:

  • There can be multiple valid measures of maximum entropy, leading to various interpretations of "disorder."
  • "Disorder" is not solely defined as a ratio of nonequilibrium to equilibrium entropy.
  • "Simple complexity" does not necessarily vanish in equilibrium systems or remain non-zero in nonequilibrium systems.

Conclusions:

  • The selection of an appropriate entropy measure for quantifying "disorder" and "simple complexity" is contingent upon the specific research questions.
  • Existing definitions of "disorder" and "simple complexity" may require re-evaluation to accommodate a broader range of systems and inquiries.
  • This work contributes to a more nuanced understanding of complexity and information in statistical physics.