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Related Experiment Videos

Thermodynamic relations in a driven lattice gas: numerical experiments.

Kumiko Hayashi1, Shin-ichi Sasa

  • 1Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153-8902, Japan. hayashi@jiro.c.u-tokyo.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

This study confirms thermodynamic relations in nonequilibrium steady states using a driven lattice gas model. Results show a free-energy function and compressibility linked to density fluctuations, extending equilibrium concepts.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Nonequilibrium steady states (NESS) present challenges for traditional thermodynamic descriptions.
  • Understanding thermodynamic relations in NESS is crucial for fields like soft matter and active matter.

Purpose of the Study:

  • To explore and validate thermodynamic relations in NESS.
  • To investigate the applicability of concepts like pressure, chemical potential, and free energy in driven systems.
  • To examine fluctuation relations and their connection to system compressibility in NESS.

Main Methods:

  • Numerical experiments on a driven lattice gas model.
  • Operational definitions for pressure and chemical potential in the context of the driven lattice gas.

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  • Verification of the integrability condition (Maxwell relation) for defined thermodynamic quantities.
  • Main Results:

    • The integrability condition (Maxwell relation) holds for pressure and chemical potential in the NESS, despite differing from equilibrium values.
    • A free-energy function can be constructed for the considered NESS.
    • A fluctuation relation associated with the free-energy function was investigated.
    • Compressibility in NESS can be expressed using density fluctuations.

    Conclusions:

    • Thermodynamic relations, including the existence of a free-energy function, are valid in the studied NESS.
    • The findings extend the applicability of thermodynamic concepts beyond equilibrium conditions.
    • Density fluctuations provide insights into compressibility even in nonequilibrium systems.