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Altruistic Resource-Sharing Mechanism for Synchronization: The Energy-Speed-Accuracy Trade-off.

Dongliang Zhang1,2, Yuansheng Cao1, Qi Ouyang3

  • 1Tsinghua University, Department of Physics, Beijing 100084, China.

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|August 4, 2025
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Summary
This summary is machine-generated.

This study introduces a new model for altruistic resource-sharing (ARS) synchronization, revealing a trade-off between system speed and accuracy. Scarcer resources improve synchronization accuracy at the cost of speed, while energy dissipation can enhance both.

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Area of Science:

  • Physics
  • Systems Biology
  • Statistical Mechanics

Background:

  • Synchronization is common in nature, with Kuramoto models explaining direct interactions.
  • Synchronization via indirect interactions through shared limited resources is less understood.
  • Limited resources and differential agent competence are key factors in collective behavior.

Purpose of the Study:

  • To propose a minimal, thermodynamically consistent model for altruistic resource-sharing (ARS) synchronization.
  • To analyze the relationship between resource scarcity, energy dissipation, and system performance (speed and synchronization accuracy).
  • To explore the implications for biological systems and theoretical frameworks like the thermodynamic uncertainty relation.

Main Methods:

  • Developed a minimal thermodynamically consistent model for ARS mechanism.
  • Analyzed agent behavior where resource competence decreases with advancement.
  • Solved the model analytically to derive performance relations.

Main Results:

  • Differential competence in ARS leads to synchronization but breaks detailed balance, requiring extra energy dissipation.
  • A trade-off exists between energy dissipation rate, average speed, and synchronization accuracy.
  • Resource scarcity dictates a speed-accuracy Pareto front: scarcer resources yield slower speeds but higher accuracy.

Conclusions:

  • Increased energy dissipation can improve both speed and accuracy, mitigating the trade-off.
  • The model provides insights into biological synchronization, such as the KaiABC system.
  • Findings connect to the thermodynamic uncertainty relation, offering a broader theoretical perspective.