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Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Three detailed fluctuation theorems.

Massimiliano Esposito1, Christian Van den Broeck

  • 1Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium.

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

Total entropy production in dynamic systems can be divided into adiabatic and nonadiabatic parts. Both components, along with the total, independently satisfy detailed fluctuation theorems, offering new insights into nonequilibrium thermodynamics.

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Area of Science:

  • * Statistical mechanics
  • * Non-equilibrium thermodynamics
  • * Physical chemistry

Background:

  • * Entropy production quantifies irreversibility in dynamic systems.
  • * Detailed balance is a fundamental concept in equilibrium statistical mechanics.
  • * Fluctuation theorems generalize thermodynamic laws to small systems and short timescales.

Purpose of the Study:

  • * To decompose total entropy production into adiabatic and nonadiabatic contributions.
  • * To investigate whether these individual contributions satisfy detailed fluctuation theorems.
  • * To explore the implications for understanding nonequilibrium processes.

Main Methods:

  • * Theoretical analysis of trajectory entropy production.
  • * Derivation of entropy production from nonequilibrium boundary conditions and external driving.
  • * Application of fluctuation theorem principles to decomposed entropy terms.

Main Results:

  • * Total entropy production can be rigorously separated into adiabatic and nonadiabatic components.
  • * The adiabatic contribution arises from broken detailed balance due to boundary conditions.
  • * The nonadiabatic contribution stems from external driving forces.
  • * Each component (total, adiabatic, nonadiabatic) individually satisfies a detailed fluctuation theorem.

Conclusions:

  • * The detailed fluctuation theorem holds for total, adiabatic, and nonadiabatic entropy production separately.
  • * This provides a more nuanced understanding of irreversibility in driven and undriven systems.
  • * The findings offer a powerful framework for analyzing complex nonequilibrium phenomena.