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Daniel T Schmitt

Publications and source records attributed to Daniel T Schmitt.

2 recordsLinked to original sources

Mori-Zwanzig memory analysis in single-molecule spectroscopy.

We study the dynamical behavior of the Rhodospirillum molischianum LH2 complex based on intensity time series obtained from single-molecule spectroscopy experiments. This is achieved by reconstructing the memory function describing the time-dependent fluctuations of the excited states. We conclude that the apparent stochastic evolution of the dynamics is controlled by at least two different non-Markovian main processes.

Journal Article↗

Analyzing memory effects of complex systems from time series.

A numerical algorithm is presented in order to determine all coefficients of the Mori-Zwanzig equation from a given finite time series. The algorithm is applicable to observables of arbitrary complex systems. Meteorological and financial systems are investigated. By analyzing directional variables and amplitudes we are able to observe and discuss memory effects on different time scales. We show that analyzing the memory kernel provides important insights into the dynamics of a complex system.

Journal Article↗