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DY: Fachverband Dynamik und Statistische Physik

DY 42: Stochastic Thermodynamics

DY 42.5: Vortrag

Freitag, 21. März 2025, 10:30–10:45, H43

Stochastic Calculus Approach to Thermodynamic Bounds for Jump Processes — •Lars Stutzer, Cai Dieball, and Aljaž Godec — Mathematical bioPhysics Group, Max Planck Institute for Multidisciplinary Sciences, 37077 Göttingen, Germany

Thermodynamic inequalities bound dissipation from below in terms of fluctuations of, and correlations between, observable currents and densities. They are at the heart of thermodynamic inference. By establishing a stochastic-calculus for functionals of Markov-jump dynamics, we allow for immediate extensions of results derived for overdamped diffusion to discrete state spaces, which expands the range of bounds available for jump processes. Moreover, we use the calculus to prove new bounds for jump-processes, including transient thermodynamic uncertainty relations, finite-time correlation bounds, and the recently established transport bounds. While it was expected for these results carry over to discrete spaces, the methodological advance establishes them as an inherent property of stochastic equations of motion. Our results put Langevin and Markov-jump dynamics on a common footing on the level of individual stochastic trajectories. We illustrate the results by means of biologically motivated examples.

Keywords: Stochastic Calculus; Stochastic Thermodynamics; Markov Jump Processes; Entropy Production