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Entropic Balance with Feedback Control: Information Equalities and Tight Inequalities.

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  • 1Universidad de Sevilla, Física Teórica, Multidisciplinary Unit for Energy Science, Apartado de Correos 1065, E-41080 Sevilla, Spain.

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Summary

This study introduces a Markovian framework for feedback-controlled physical systems, simplifying entropy balance calculations. It yields tighter bounds for extractable work and demonstrates saturation under ideal conditions.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Physical Systems

Background:

  • Feedback-controlled systems are crucial in thermodynamics.
  • Understanding entropy balance and extractable work is key.
  • Current methods for calculating bounds are complex.

Purpose of the Study:

  • To develop a simplified Markovian description for feedback-controlled systems.
  • To derive novel second-law equalities and tighter bounds for extractable work.
  • To analyze the impact of measurement accuracy on work extraction.

Main Methods:

  • Utilizing a Markovian description of system dynamics.
  • Applying principles of statistical mechanics and thermodynamics.
  • Analyzing entropy balance and work extraction under feedback control.

Main Results:

  • A simplified Markovian framework for entropy balance.
  • Novel, tighter, and easier-to-evaluate bounds for extractable work.
  • Demonstration of bound saturation for extractable work with error-free measurements.
  • Identification of an interval of measurement uncertainty where Markovian bounds are superior.

Conclusions:

  • The Markovian approach offers theoretical and practical advantages for entropy balance.
  • New bounds for extractable work are more efficient and accurate.
  • The framework provides insights into work extraction limitations due to measurement imperfections.