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Hydrodynamics and the fluctuation theorem.

M Belushkin1, R Livi, G Foffi

  • 1Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland. maxim.belushkin@epfl.ch

Physical Review Letters
|June 25, 2011
PubMed
Summary
This summary is machine-generated.

The fluctuation theorem, a key statistical physics result, was verified in simulations of shear flow. It holds true when the measurement volume depends on a hydrodynamic time scale, confirming thermodynamic principles.

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Area of Science:

  • Statistical Physics
  • Thermodynamics
  • Computational Physics

Background:

  • The fluctuation theorem quantifies probabilities of entropy fluctuations violating the second law of thermodynamics.
  • It relates entropy production, measurement volume, and time span.

Purpose of the Study:

  • To investigate the validity of the fluctuation theorem in computer simulations.
  • To analyze the theorem's behavior under specific conditions of planar shear flow.

Main Methods:

  • Utilizing multiparticle collision dynamics (MPCD) simulations.
  • Capturing thermal fluctuations and hydrodynamic interactions within the simulations.
  • Analyzing the fluctuation theorem's predictions against simulation data.

Main Results:

  • The fluctuation theorem was verified across various averaging times.
  • Verification was contingent upon the measurement volume showing a specific dependency on a hydrodynamic time scale.

Conclusions:

  • The study confirms the fluctuation theorem's applicability in simulated complex systems.
  • A defined relationship between measurement volume and hydrodynamic time is crucial for theorem validity.