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Fluctuation relations for driven coupled classical two-level systems with incomplete measurements.

Massimo Borrelli1, Jonne V Koski1, Sabrina Maniscalco2

  • 1Low Temperature Laboratory (OVLL), Aalto University, POB 13500, FI-00076 AALTO, Finland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 14, 2015
PubMed
Summary
This summary is machine-generated.

We studied how entropy production changes in a system with limited information. Fluctuation relations were modified when only partial data from coupled electron boxes was analyzed.

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Area of Science:

  • Non-equilibrium statistical mechanics
  • Quantum thermodynamics
  • Mesoscopic physics

Background:

  • Fluctuation relations are key to understanding non-equilibrium systems.
  • Classical measurement processes can be incomplete, affecting information.
  • Coupled systems offer complex dynamics for studying thermodynamic laws.

Purpose of the Study:

  • To investigate fluctuation relations under incomplete measurements.
  • To analyze entropy production in coupled single-electron boxes.
  • To determine how partial information modifies thermodynamic relations.

Main Methods:

  • Theoretical modeling of two coupled single-electron boxes.
  • Simulation of non-equilibrium transformations with chosen protocols.
  • Analysis of entropy production for a single box within the coupled system.

Main Results:

  • Demonstrated strong modifications to fluctuation relations.
  • Showcased dependence of modifications on specific experimental protocols.
  • Highlighted the impact of incomplete measurement on entropy production.

Conclusions:

  • Incomplete measurements significantly alter fluctuation relations in non-equilibrium systems.
  • The degree of modification is protocol-dependent.
  • Theoretical framework provides insights into thermodynamics with partial information.