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Journal Article

Scattering fingerprints of two-state dynamics


Dieball,  C.
Research Group of Mathematical Biophysics, Max Planck Institute for Multidisciplinary Sciences, Max Planck Society;


Godec,  A.
Research Group of Mathematical Biophysics, Max Planck Institute for Multidisciplinary Sciences, Max Planck Society;

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Dieball, C., Krapf, D., Weiss, M., & Godec, A. (2022). Scattering fingerprints of two-state dynamics. New Journal of Physics, 24: 023004. doi:10.1088/1367-2630/ac48e8.

Cite as: https://hdl.handle.net/21.11116/0000-000A-65C6-5
Particle transport in complex environments such as the interior of living cells is often (transiently) non-Fickian or anomalous, that is, it deviates from the laws of Brownian motion. Such anomalies may be the result of small-scale spatio-temporal heterogeneities in, or viscoelastic properties of, the medium, molecular crowding, etc. Often the observed dynamics displays multi-state characteristics, i.e. distinct modes of transport dynamically interconverting between each other in a stochastic manner. Reliably distinguishing between single- and multi-state dynamics is challenging and requires a combination of distinct approaches. To complement the existing methods relying on the analysis of the particle's mean squared displacement, position- or displacement-autocorrelation function, and propagators, we here focus on 'scattering fingerprints' of multi-state dynamics. We develop a theoretical framework for two-state scattering signatures—the intermediate scattering function and dynamic structure factor—and apply it to the analysis of simple model systems as well as particle-tracking experiments in living cells. We consider inert tracer-particle motion as well as systems with an internal structure and dynamics. Our results may generally be relevant for the interpretation of state-of-the-art differential dynamic microscopy experiments on complex particulate systems, as well as inelastic or quasielastic neutron (incl. spin-echo) and x-ray scattering probing structural and dynamical properties of macromolecules, when the underlying dynamics displays two-state transport.