Regensburg 2025 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Brownian Motion and Anomalous Diffusion

DY 37.2: Vortrag

Donnerstag, 20. März 2025, 15:15–15:30, H43

Thermodynamic bounds on generalized transport: From single-molecule to bulk observables — •Cai Dieball and Aljaž Godec — Mathematical bioPhysics Group, Max Planck Institute for Multidisciplinary Sciences, 37077 Göttingen, Germany

We prove that the transport of any scalar observable in d-dimensional non-equilibrium systems is bounded from above by the total entropy production scaled by the amount the observation "stretches" microscopic coordinates. The result, a time-integrated generalized speed limit, reflects the thermodynamic cost of transport of observables, and places underdamped and overdamped stochastic dynamics as well as deterministic motion on equal footing. Our work fills an important gap in thermodynamic inference, since microscopic dynamics is, at least for short times, underdamped. Requiring only averages but not sample-to-sample fluctuations, the proven transport bound is practical and applicable not only to single-molecule but also bulk experiments where only averages are observed, which we demonstrate by examples.
[1] Phys. Rev. Lett. 133, 067101 (2024)

Keywords: Transport; Stochastic Thermodynamics; Entropy; overdamped dynamics; underdamped dynamics