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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical Physics far from Thermal Equilibrium I

DY 6.5: Talk

Monday, March 18, 2024, 10:45–11:00, BH-N 334

Non-equilibrium thermodynamics of a particle driven by time-delayed feedback — •Robin A. Kopp and Sabine H. L. Klapp — Institut für Theoretische Physik, TU Berlin, Berlin, Germany

Time-delayed feedback can act as a propulsion mechanism, which has recently been demonstrated and studied both theoretically [1] and experimentally [2]. In two-dimensional systems and for suitable feedback parameters, persistent motion occurs despite fluctuations, resembling the behavior of self-propelled particles [3]. Using the framework of stochastic energetics [4] we here study the thermodynamic properties of a colloidal particle in two dimensions driven by time-delayed feedback. Focusing on the dissipated heat, we combine analytical and numerical methods to gain insights into the onset of persistent motion, which occurs above a threshold value in parameter space. Above the threshold of persistent motion we furthermore compare to the well-established active Brownian particle model for self-propulsion with corresponding parameters. Finally we show that even below the threshold a non-zero heat dissipation is to be expected and can indeed be found in numerical simulations.

[1] Kopp R. A. and Klapp S. H. L., Phys. Rev. E, 107 (2023) 024611
[2] Bell-Davies M. C. R., Curran A., Liu Y. and Dullens R. P. A., Phys. Rev. E, 107 (2023) 064601
[3] Kopp R. A. and Klapp S. H. L., EPL 143, 17002 (2023)
[4] Sekimoto K., Prog. Theor. Phys. Supp. 130, 17 (1998)

Keywords: time-delayed feedback; colloidal particles; persistent motion; stochastic thermodynamics