Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 57: Poster: Statistical Physics; Critical Phenomena; Stochastic Thermodynamics; Extreme Events; Data Analytics

DY 57.8: Poster

Thursday, March 19, 2020, 15:00–18:00, P1C

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

Subharmonic response is a well-known phenomenon in, e.g., deterministic nonlinear dynamical systems. We investigate the conditions under which such 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]. We also show that, inter alia, the thermodynamic cost rises only logarithmically with the number of coherent oscillations in a model calculation. By interpreting our finite state model as a single subharmonically oscillating spin, we can construct an interacting spin system, which above a critical coupling strength subharmonically oscillates in synchrony.

[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)