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DY: Fachverband Dynamik und Statistische Physik
DY 32: Posters DY - Statistical Physics, Brownian Motion and Nonlinear Dynamics
DY 32.11: Poster
Dienstag, 23. März 2021, 16:30–19:00, DYp
Subharmonic oscillations in stochastic systems under periodic driving — •Lukas Oberreiter1, Andre Cardoso Barato2, and Udo Seifert1 — 1II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany — 2Department of Physics, University of Houston, Houston, Texas 77204, USA
We investigate the conditions under which subharmonic oscillations can persist for a long time in open systems with stochastic dynamics due to thermal fluctuations. In contrast to stochastic autonomous systems in a stationary state, for which the number of coherent oscillations is fundamentally bounded by the number of states in the underlying network [1], we demonstrate that in periodically driven systems, subharmonic oscillations can in principle remain coherent forever, even in networks with a small number of states [2]. By interpreting our finite state model as a single subharmonically oscillating spin, we construct an interacting spin system [3]. The mean-field model displays the phenomenon of subharmonic synchronization, which corresponds to collective subharmonic oscillations of the individual units. The 2D model does not display synchronization but it does show a time-crystalline phase, which is characterized by a power-law behavior of the number of coherent subharmonic oscillations with system size.
[1] A. C. Barato and U. Seifert Phys. Rev. E 95, 062409, (2017)
[2] L. Oberreiter, U. Seifert, and A. C. Barato Phys. Rev. E 100, 012135, (2019)
[3] L. Oberreiter, U. Seifert, and A. C. Barato Phys. Rev. Lett. 126, 020603, (2021)