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Protocol for Relative Hydrodynamic Assessment of Tri-leaflet Polymer Valves
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Deviation from fluctuation-dissipation relation for driven superdiffusion: Polymer stretching as an example.

Takuya Saito1

  • 1Earthquake Research Institute, University of Tokyo, Tokyo 113-0032, Japan.

Physical Review. E
|January 20, 2018
PubMed
Summary
This summary is machine-generated.

We found the fluctuation-dissipation relation deviates in driven superdiffusive systems like stretching polymers. This deviation during nonequilibrium processes is explained by stiffness fluctuations, confirmed by simulations and mode analysis.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Computational Physics

Background:

  • The fluctuation-dissipation relation (FDR) connects equilibrium fluctuations to response functions.
  • Driven systems often exhibit complex dynamics beyond equilibrium thermodynamics.
  • Superdiffusion, characterized by anomalous transport, is observed in various physical systems.

Purpose of the Study:

  • To investigate the validity of the fluctuation-dissipation relation (FDR) in a driven superdiffusive system.
  • To analyze the nonequilibrium transient processes in polymer stretching.
  • To develop a theoretical framework for understanding superdiffusion in driven systems.

Main Methods:

  • Utilizing molecular-dynamics simulations to model polymer stretching.
  • Monitoring momentum transfer to a tracer as a conjugate observable to position.
  • Proposing and applying nonequilibrium mode analysis for superdiffusion.

Main Results:

  • Observed a clear deviation of the FDR during the nonequilibrium transient process of polymer stretching.
  • Confirmed superdiffusion by analyzing momentum transfer to the tracer.
  • Simulation results showed qualitative agreement with the predictions of the developed mode analysis.

Conclusions:

  • The fluctuation-dissipation relation is not universally valid in driven superdiffusive systems.
  • Stiffness fluctuations within the system, from initial equilibrium to the stretching phase, are responsible for the observed FDR deviation.
  • Nonequilibrium mode analysis provides a useful tool for studying superdiffusion in driven systems.