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@ARTICLE{Zunke:915922,
author = {Zunke, Christoph and Bewerunge, Jörg and Platten, Florian
and Egelhaaf, Stefan U. and Godec, Aljaž},
title = {{F}irst-passage statistics of colloids on fractals:
{T}heory and experimental realization},
journal = {Science advances},
volume = {8},
number = {3},
issn = {2375-2548},
address = {Washington, DC [u.a.]},
publisher = {Assoc.},
reportid = {FZJ-2022-05785},
pages = {eabk0627},
year = {2022},
abstract = {In nature and technology, particle dynamics frequently
occur in complex environments, for example in restricted
geometries or crowded media. These dynamics have often been
modeled invoking a fractal structure of the medium although
the fractal structure was only indirectly inferred through
the dynamics. Moreover, systematic studies have not yet been
performed. Here, colloidal particles moving in a laser
speckle pattern are used as a model system. In this case,
the experimental observations can be reliably traced to the
fractal structure of the underlying medium with an
adjustable fractal dimension. First-passage time statistics
reveal that the particles explore the speckle in a
self-similar, fractal manner at least over four decades in
time and on length scales up to 20 times the particle
radius. The requirements for fractal diffusion to be
applicable are laid out, and methods to extract the fractal
dimension are established.},
cin = {IBI-4},
ddc = {500},
cid = {I:(DE-Juel1)IBI-4-20200312},
pnm = {5241 - Molecular Information Processing in Cellular Systems
(POF4-524)},
pid = {G:(DE-HGF)POF4-5241},
typ = {PUB:(DE-HGF)16},
pubmed = {35061533},
UT = {WOS:000745886100022},
doi = {10.1126/sciadv.abk0627},
url = {https://juser.fz-juelich.de/record/915922},
}