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DY: Fachverband Dynamik und Statistische Physik
DY 36: Stochastic Thermodynamics
DY 36.3: Vortrag
Mittwoch, 18. März 2020, 10:30–10:45, ZEU 147
Quantifying information for a stochastic particle in a flow-field — •Evelyn Tang1 and Ramin Golestanian1,2 — 1Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — 2Rudolf Peierls Centre for Theoretical Physics, University of Oxford, United Kingdom
Quantification of information in small fluctuating systems has seen great theoretical progress recently, and been experimentally measured in a variety of systems from colloids and electrons to active and living matter. However, these questions have not been explored in flow-fields, which are ubiquitous in microfluidics, solid-state and biological systems. In the latter, such flows transport vital signalling molecules necessary for system function. We develop a general expression for the rate of change of information content in flow-fields to identify relevant contributions from both flow features and systems fluctuations. Further, we calculate the time evolution for particles in generic flow-fields, and use this to analyze the information content and residence time scale for various geometries and scenarios. For instance, this allows the identification of a mechanism for retaining a particle for longer times than diffusion. We identify the dependence of information content on various flow features and find the long time behavior of the change of information content and particle probability. Intriguingly, vorticity produces oscillations in the probability density but only enters the change of information content when there is an additional symmetric field component.