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Non-Markovianity, entropy production, and Jarzynski equality.

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A non-Markovian memory kernel acts as an information pump, aiding information recovery during external work protocols. Interestingly, harmonic models show no entropy production, unlike nonlinear systems.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Information Theory

Background:

  • Non-equilibrium statistical mechanics studies systems driven by external forces.
  • Information exchange and entropy production are key metrics in understanding thermodynamic processes.
  • Memory effects in physical systems can alter their dynamic behavior.

Purpose of the Study:

  • To investigate the influence of a non-Markovian memory kernel on information exchange and entropy production.
  • To analyze the validity of the Jarzynski equality under these conditions.
  • To understand the role of nonlinearity in entropy production.

Main Methods:

  • Theoretical modeling of harmonic and nonharmonic systems.
  • Application of external work protocols.
  • Analysis of information exchange and entropy production using the Jarzynski equality.

Main Results:

  • The Jarzynski equality holds for both harmonic and nonharmonic models.
  • The memory kernel functions as an information pump, recovering lost information.
  • Harmonic models unexpectedly do not produce entropy, irrespective of the work protocol.
  • Nonlinearity in the system leads to typical entropy production.

Conclusions:

  • Non-Markovian memory kernels play a crucial role in information recovery during non-equilibrium processes.
  • The absence of entropy production in the harmonic model highlights unique behaviors under specific conditions.
  • System nonlinearity is essential for observing conventional entropy production in out-of-equilibrium protocols.