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DY: Fachverband Dynamik und Statistische Physik

DY 5: Statistical Physics: General

DY 5.2: Vortrag

Montag, 17. März 2025, 09:45–10:00, H47

How hidden free energy landscapes imprint on the time-ordering of observed states — •Francesco Malcangi and Aljaz Godec — Max Planck Institute for Multidisciplinary Sciences, Göttingen, Germany

Single molecule experiments, such as FRET, Plasmon Ruler, or optical tweezers, probe low (often one-) dimensional projections of high dimensional dynamics. Unless the unobserved, hidden degrees of freedom relax much faster than the observable, the projection induces memory effects. By accessing the information encoded in the time-ordering of projected states, we show in our work that opportunely chosen functionals of observed paths, in particular their fluctuations and correlations, may be used to infer the presence of hidden free-energy barriers, multiple pathways, and even irreversible drifts. These hidden features are found to display common manifestations upon projection, which together with the comparison with manifestly Markovian dynamics in the free energy landscape may be used as a diagnostic tool. We demonstrate our findings with illustrative examples.

Keywords: Projections; Non Markovianity; Sample-to-sample fluctuations; Empirical densities