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Fluctuation-Dissipation Relations Far from Equilibrium.

Bernhard Altaner1, Matteo Polettini1, Massimiliano Esposito1

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|November 12, 2016
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Summary
This summary is machine-generated.

This study reveals an equilibrium-like fluctuation-dissipation relation (FDR) for internally equilibrated currents, even out of equilibrium. This holds when forces specifically perturb current-generating transitions, simplifying fluctuation analysis in nanoscale systems.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Thermodynamics
  • Nanoscience

Background:

  • The fluctuation-dissipation relation (FDR) links spontaneous fluctuations to system response near equilibrium.
  • Out-of-equilibrium systems typically exhibit complex fluctuation-response relations with non-dissipative terms.

Purpose of the Study:

  • To establish an equilibrium-like FDR for currents in systems operating out of equilibrium.
  • To identify conditions under which a simplified FDR is applicable for internally equilibrated currents.

Main Methods:

  • Utilizing the framework of stochastic thermodynamics.
  • Analyzing systems where conjugate thermodynamic forces selectively influence microscopic transitions contributing to a specific current.

Main Results:

  • Demonstrated that an equilibrium-like FDR can be valid for internally equilibrated currents under specific perturbation conditions.
  • Identified the physical requirements for this generalized FDR.

Conclusions:

  • The findings simplify the characterization of fluctuations and responses in non-equilibrium systems.
  • The results have direct applicability to understanding transport phenomena in nanosized electronic devices.