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BP: Fachverband Biologische Physik

BP 17: Poster Session II

BP 17.70: Poster

Dienstag, 18. März 2025, 18:00–20:30, P4

Competitive resource sharing mechanism for synchronization and its energy cost — •Dongliang Zhang1,2, Yuansheng Cao1, Qi Ouyang3, and Yuhai Tu41Department of Physics, Tsinghua University, Beijing, China — 2Max Planck Institute for the Physics of Complex Systems — 3School of Physics, Zhejiang University, Hangzhou, China — 4IBM T. J. Watson Research Center, Yorktown Heights, New York, USA

Synchronization among a group of active agents is ubiquitous in nature. Although synchronization mechanism based on direct pairwise interactions between agents as exemplified by the Kuramoto model is well understood. The dynamics and energetics of another general mechanism based on indirect interactions among agents sharing a limited resource are less known. In this work, we proposed a simple thermodynamically consistent model for the resource-sharing (RS) mechanism.We find that synchronization relies on differential competence of agents for the limited resources.More advanced agents are less competent, which provides a negative feedback mechanism resulting in synchronization. We show that differential affinity breaks detailed balance and thus synchronization requires continuous energy dissipation in addition to the energy cost of the agents* processive motion. Our study reveals a tradeoff relation between the total energy dissipation rate and the performance of the system characterized by its average speed and synchronization accuracy. Different Pareto fronts with fixed dissipation or speed result naturally from the Energy-Speed-Accuracy (ESA) relationship.

Keywords: nonequilibrium thermodynamics; circadian clock; synchronization; energetics

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