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Thermodynamic optimization subsumed in stability phenomena.

J Gonzalez-Ayala1, A Medina2,3, J M M Roco2,3

  • 1Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, 37008, Salamanca, Spain. jgonzalezayala@usal.es.

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This study shows that thermodynamic stability in refrigerators enhances performance. The system naturally optimizes energy use, favoring better thermodynamic efficiency and reduced entropy generation.

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Area of Science:

  • Thermodynamics
  • Refrigeration Cycles
  • Non-equilibrium Systems

Background:

  • Understanding thermodynamic stability is crucial for optimizing energy systems.
  • Low dissipation refrigerators operate in complex trade-off regimes.
  • Self-optimization in physical systems is a key area of research.

Purpose of the Study:

  • To investigate energetic self-optimization in refrigerators due to thermodynamic stability.
  • To analyze the role of endoreversible and irreversible behaviors in system performance.
  • To explore the system's response to perturbations and external controls.

Main Methods:

  • Analysis of a low dissipation refrigerator operating in an optimized trade-off regime (Omega function).
  • Studying system relaxation dynamics after perturbations around a stable point.
  • Investigating system behavior under limited control via random external perturbations.
  • Employing multi-objective optimization to identify optimal performance compromises.

Main Results:

  • Thermodynamic stability is linked to improved thermodynamic performance trajectories.
  • System statistics under random perturbations show a preference for better performance.
  • Endoreversible and irreversible behaviors significantly influence relaxation and performance.
  • The endoreversible limit acts as an attractor, coinciding with the Pareto front for optimal energetic compromise.

Conclusions:

  • Refrigerators can exhibit energetic self-optimization driven by thermodynamic stability.
  • Irreversible behavior near the stable state dominates performance and stability.
  • The Pareto front, representing optimal trade-offs, is associated with the endoreversible limit.