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@ARTICLE{Bewerunge:852687,
      author       = {Bewerunge, Jörg and Ladadwa, Imad and Platten, Florian and
                      Zunke, Christoph and Heuer, Andreas and Egelhaaf, Stefan U.},
      title        = {{T}ime- and ensemble-averages in evolving systems: the case
                      of {B}rownian particles in random potentials},
      journal      = {Berichte der Bunsen-Gesellschaft für Physikalische Chemie},
      volume       = {18},
      number       = {28},
      issn         = {1463-9084},
      address      = {Weinheim},
      publisher    = {Wiley-VCH80426},
      reportid     = {FZJ-2018-05559},
      pages        = {18887 - 18895},
      year         = {2016},
      abstract     = {Anomalous diffusion is a ubiquitous phenomenon in complex
                      systems. It is often quantified using time- and
                      ensemble-averages to improve statistics, although time
                      averages represent a non-local measure in time and hence can
                      be difficult to interpret. We present a detailed analysis of
                      the influence of time- and ensemble-averages on dynamical
                      quantities by investigating Brownian particles in a rough
                      potential energy landscape (PEL). Initially, the particle
                      ensemble is randomly distributed, but the occupancy of
                      energy values evolves towards the equilibrium distribution.
                      This relaxation manifests itself in the time evolution of
                      time- and ensemble-averaged dynamical measures. We use Monte
                      Carlo simulations to study particle dynamics in a potential
                      with a Gaussian distribution of energy values, where the
                      long-time limit of the diffusion coefficient is known from
                      theory. In our experiments, individual colloidal particles
                      are exposed to a laser speckle pattern inducing a
                      non-Gaussian roughness and are followed by optical
                      microscopy. The relaxation depends on the kind and degree of
                      roughness of the PEL. It can be followed and quantified by
                      the time- and ensemble-averaged mean squared displacement.
                      Moreover, the heterogeneity of the dynamics is characterized
                      using single-trajectory analysis. The results of this work
                      are relevant for the correct interpretation of
                      single-particle tracking experiments in general.},
      cin          = {IEK-12 / IHRS-BioSoft},
      ddc          = {000},
      cid          = {I:(DE-Juel1)IEK-12-20141217 /
                      I:(DE-Juel1)IHRS-BioSoft-20161118},
      pnm          = {899 - ohne Topic (POF3-899) / IHRS-BioSoft - International
                      Helmholtz Research School of Biophysics and Soft Matter
                      (IHRS-BioSoft-20061101)},
      pid          = {G:(DE-HGF)POF3-899 / G:(DE-Juel1)IHRS-BioSoft-20061101},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:27353405},
      UT           = {WOS:000379939100027},
      doi          = {10.1039/C6CP02559E},
      url          = {https://juser.fz-juelich.de/record/852687},
}