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DY: Fachverband Dynamik und Statistische Physik

DY 43: Active Matter IV (joint session DY/BP/CPP)

DY 43.6: Vortrag

Donnerstag, 21. März 2024, 11:00–11:15, BH-N 334

Cooperative resetting exhibits a delocalisation phase transition — Felix J. Meigel and •Steffen Rulands — Arnold Sommerfeld Center for Theoretical Physics, Department of Physics, Ludwig-Maximilians-Universität, München, Germany

In the realm of biology, many non-equilibrium systems are inherently noisy, while their proper functioning relies on the adept control of fluctuations. Stochastic resetting processes, where the state of a system is reset to its initial condition at random times, provide a framework for the control of the accumulation of fluctuations over time. Yet, in this framework, resetting is externally imposed. Here, we demonstrate that a constraint of fluctuations can also be achieved in a self-organized manner by cooperative resetting in many-particle systems. Specifically, we demonstrate that many-particle systems, wherein pairs of particles are reset to their respective average positions, exhibit a second-order phase transition as a function of the resetting rate. This transition delineates a regime where particles localize, thereby controlling fluctuations, and another regime where particle positions become unbounded. Our research showcases that cooperative resetting enables adaptation to external perturbations and enhances the optimization of search tasks compared to extrinsic resetting. We showcase the versatility of self-organized fluctuation control through cooperative resetting, with applications ranging from biological systems, such as intracellular vesicle dynamics and the fitness advantages of genetic recombination, to technical domains like the optimization of shared mobility services.

Keywords: Stochastic Dynamics; Stochastic Resetting; Many-body Dynamics; Self-Organization; Systems Biology