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DY: Fachverband Dynamik und Statistische Physik
DY 37: Brownian Motion and Anomalous Diffusion
DY 37.4: Vortrag
Donnerstag, 20. März 2025, 15:45–16:00, H43
Phase locking and fractional Shapiro steps in collective dynamics of microparticles — •Seemant Mishra1, Artem Ryabov2, and Philipp Maass1 — 1Institut für Physik, Universität Osnabrück, Germany — 2Charles University, Faculty of Mathematics and Physics, Czech Republic
Nonlinear systems under time-periodic driving often exhibit phase locking, where synchronization between the system’s dynamics and driving leads to robust stationary states. In this work, we show that phase-locked dynamics in a driven system of hardcore-interacting microparticles arises from running solitary cluster waves. Such cluster waves were recently predicted to occur in overdamped Brownian motion [1,2] and shortly after confirmed in experiments [3]. Particle currents are related to soliton velocities due to a unit displacement law saying that the total average shift of all particle positions per soliton period equals one wavelength of the periodic potential. The collective particle dynamics synchronize with the driving for certain particle diameters only. Based on an effective potential for solitary wave propagation, we derive dynamical phase diagrams of integer and fractional synchronization modes.
[1] A. P. Antonov, A. Ryabov, P. Maass, Phys. Rev. Lett. 129, 080601
[1] (2022).
[2] A. P. Antonov, A. Ryabov, P. Maass, Chaos, Solitons & Fractals
[1] 132, 115079 (2024).
[3] E. Cereceda-López, A. P. Antonov, A. Ryabov, P. Maass, and
[1] P. Tierno
Nat. Commun. 14, 6448 (2023).
Keywords: phase locking, synchronization, Shapiro steps