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Fluctuation theorems for entropy production in open systems

Rondoni1, Tel, Vollmer

  • 1Dipartimento di Matematica, Politecnico di Torino, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 14, 2000
PubMed
Summary

We developed a new fluctuation theorem for entropy in steady states with open boundaries. This theorem connects entropy fluctuations to phase-space density growth, offering insights into complex dynamical systems.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Non-equilibrium Thermodynamics

Background:

  • Understanding entropy fluctuations is crucial for non-equilibrium systems.
  • Open boundary conditions introduce unique challenges in modeling steady states.

Purpose of the Study:

  • To derive a fluctuation theorem for entropy in systems with density gradients and open boundaries.
  • To relate entropy fluctuations to phase-space density dynamics.

Main Methods:

  • Derivation of a fluctuation theorem.
  • Analysis of systems with open boundaries and density gradients.
  • Explicit application to a multibaker map model.

Main Results:

  • Entropy fluctuations are linked to the growth rate of phase-space density.

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  • The derived theorem applies to steady states with open boundaries.
  • The findings are generalizable to various dynamical systems.

    • Conclusions:

    • The study provides a novel framework for analyzing entropy fluctuations.
    • The results offer a new perspective on the behavior of non-equilibrium systems.
    • Comparison with stochastic system results is provided.