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Self-organization from structural refrigeration.

Eric Smith1

  • 1Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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This study explores self-organization in classical currents using a solvable model. It reveals that reversible systems use entropy transport via cycles for self-organization, not diffusion.

Area of Science:

  • Statistical mechanics
  • Non-equilibrium thermodynamics
  • Classical electrodynamics

Background:

  • Understanding self-organization in classical systems is crucial for various fields.
  • Existing models often struggle with complex dynamics and macroscopic phenomena.

Purpose of the Study:

  • To investigate the self-organization of classical currents within an exactly solvable model.
  • To extend the Jaynes formulation of statistical mechanics to include macroscopic dynamics.

Main Methods:

  • Utilized an exactly solvable model to compute quantum statistics and macroscopic phenomenology.
  • Applied the Jaynes formulation of statistical mechanics to analyze thermodynamically reversible systems.

Main Results:

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  • Demonstrated that the Jaynes formulation naturally incorporates macroscopic dynamics and temperature heterogeneities.
  • Showed that self-organization in reversible systems is governed by entropy transport through cycles, not diffusion.
  • Identified limitations in decomposing systems and extrapolating equilibrium entropy functions.

    • Conclusions:

    • The Jaynes formulation provides a robust framework for studying self-organization in non-equilibrium systems.
    • Entropy transport via thermodynamic cycles is a key mechanism for self-organization in reversible systems.
    • Further research is needed to address system decomposition and entropy function extrapolation challenges.