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Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Stochastic Thermodynamics

DY 23.3: Talk

Tuesday, April 2, 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 Jarzynski31Institute 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.

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