TY  - JOUR
A1  - Mardoukhi, Yousof
A1  - Jeon, Jae-Hyung
A1  - Chechkin, Aleksei V.
A1  - Metzler, Ralf
T1  - Fluctuations of random walks in critical random environments
JF  - Physical chemistry, chemical physics : a journal of European Chemical Societies
N2  - Percolation networks have been widely used in the description of porous media but are now found to be relevant to understand the motion of particles in cellular membranes or the nucleus of biological cells. Random walks on the infinite cluster at criticality of a percolation network are asymptotically ergodic. On any finite size cluster of the network stationarity is reached at finite times, depending on the cluster's size. Despite of this we here demonstrate by combination of analytical calculations and simulations that at criticality the disorder and cluster size average of the ensemble of clusters leads to a non-vanishing variance of the time averaged mean squared displacement, regardless of the measurement time. Fluctuations of this relevant experimental quantity due to the disorder average of such ensembles are thus persistent and non-negligible. The relevance of our results for single particle tracking analysis in complex and biological systems is discussed.
Y1  - 2018
U6  - https://doi.org/10.1039/c8cp03212b
SN  - 1463-9076
SN  - 1463-9084
VL  - 20
IS  - 31
SP  - 20427
EP  - 20438
PB  - Royal Society of Chemistry
CY  - Cambridge
ER  -