@article{
 title = {Taming Lévy flights in confined crowded geometries},
 type = {article},
 year = {2015},
 volume = {142},
 month = {4},
 publisher = {American Institute of Physics Inc.},
 day = {28},
 id = {49db0460-c0bf-3bc5-9929-ef67d642d4d2},
 created = {2020-10-30T10:12:17.269Z},
 file_attached = {false},
 profile_id = {f5390430-7317-381a-8c56-e25a878d78ef},
 last_modified = {2020-11-02T08:55:05.701Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {false},
 hidden = {false},
 private_publication = {false},
 abstract = {© 2015 AIP Publishing LLC. We study two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is formed from a monolayer of elongated molecules [Cieśla J. Chem. Phys. 140, 044706 (2014)] of known concentration. Within this mesh structure, a tracer molecule is allowed to perform a Cauchy random walk with uncorrelated steps. Our analysis shows that the presence of obstacles significantly influences the motion, which in an obstacle-free space would be of a superdiffusive type. At the same time, the selfdiffusive process reveals different anomalous properties, both at the level of a single trajectory realization and after the ensemble averaging. In particular, due to obstacles, the sample mean squared displacement asymptotically grows sublinearly in time, suggesting a non-Markov character of motion. Closer inspection of survival probabilities indicates, however, that the underlying diffusion is memoryless over long time scales despite a strong inhomogeneity of the motion induced by the orientational ordering.},
 bibtype = {article},
 author = {Cieśla, M. and Dybiec, B. and Sokolov, I. and Gudowska-Nowak, E.},
 doi = {10.1063/1.4919368},
 journal = {Journal of Chemical Physics},
 number = {16}
}

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