Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 23: Stochastic Thermodynamics
DY 23.3: Vortrag
Dienstag, 2. April 2019, 14:30–14:45, H20
Stochastic thermodynamics of self-oscillations: the electron shuttle — •Christopher W. Wächtler1, Philipp Strasberg2, Sabine H. L. Klapp1, Gernot Schaller1, and Christopher Jarzynski3 — 1Institute of Theoretical Physics, Berlin, Germany — 2Complex Systems and Statistical Mechanics, Luxembourg, Luxembourg — 3Institute for Physical Science and Technology, College Park, USA
Self-oscillation is a phenomenon studied across many scientific disciplines, including the engineering of efficient heat engines. We investigate an example of a nano-scale system exhibiting a transition towards self-oscillation, namely the single electron shuttle, from a thermodynamic perspective. To this end we employ different levels of description: The fully stochastic level, the mean-field level, and a perturbative solution. Investigating the dynamical behaviour we find that the perturbation theory works particularly well for small amplitudes of the self-oscillation. Consistent derivations of the laws of thermodynamics for this model system can be formulated at these levels. Although the stochastic nature of the system smears out the abrupt transition observed at the mean-field level, the probability density still shows signs of the Hopf bifurcation. Beyond the mean-field description, thermodynamic quantities lack such a corresponding abrupt transition. Nevertheless, the transition towards self-oscillation is also observed in the stochastic and perturbative description.