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This summary is machine-generated.

We show that for periodically driven systems, fluxes approach zero with zero dissipation. This means reversible efficiency is unattainable at finite power, causing the Onsager matrix determinant to vanish.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium systems

Background:

  • Understanding the behavior of systems under time-periodic driving is crucial in non-equilibrium thermodynamics.
  • The Onsager matrix is a key tool for describing linear transport phenomena in such systems.

Purpose of the Study:

  • To analyze the Onsager matrix for systems subjected to time-periodic driving.
  • To investigate the implications of the second law of thermodynamics on system fluxes and efficiency.

Main Methods:

  • Evaluation of the Onsager matrix by considering all its Fourier components.
  • Application of the second law of thermodynamics to analyze flux behavior.
  • Analysis of efficiency limits at finite power.

Main Results:

  • All fluxes converge to zero in the limit of zero dissipation.
  • Reversible efficiency cannot be reached at finite power.
  • The determinant of the Onsager matrix must vanish for reduced fluxes.

Conclusions:

  • The vanishing determinant of the Onsager matrix is a direct consequence of the second law under periodic driving.
  • In systems with two fluxes, the Onsager matrix becomes symmetric.
  • These findings provide fundamental insights into the thermodynamics of driven systems.