Dr. Aljaž Godec: Fluctuation Effects in Single-Molecule Dynamics: Temporal Heterogeneity, Weak Violations of Ergodicity and the Dominance of Extreme Events
Povzetek:
Fluctuation Effects in Single-Molecule Dynamics: Temporal Heterogeneity, Weak Violations of Ergodicity and the Dominance of Extreme Events
Dr. Aljaž Godec
Group for Theoretical Physics, Institute of Physics and Astronomy, University of Potsdam, Germany & Laboratory for Molecular Modeling, National Institute of Chemistry, Ljubljana, Slovenia
Single-molecule science removed the traditional concept of the ensemble-average from statistical mechanics. One typically only has access to a few realizations of an experiment and is therefore faced with the time-average observables directly. Ergodicity implies that both kinds of averages will eventually converge, but in reality single-particle observations often do not reach the ergodic limit. I shall present general introduction into the origins and consequences of non-Gaussian dynamics, some exact results on the sample-to-sample fluctuations of time-average quantities and explain the phenomenon of weak ergodicity-violation in non-Brownian systems with superdiffusive and subdiffusive dynamics. Going back to normal Brownian motion, I shall focus on first-passage dynamics in heterogeneous media.
