Authors
Y He, S Burov, Ralf Metzler, E Barkai
Publication date
2008/8/1
Journal
Physical Review Letters
Volume
101
Issue
5
Pages
058101
Publisher
American Physical Society
Description
Single particle tracking of mRNA molecules and lipid granules in living cells shows that the time averaged mean squared displacement of individual particles remains a random variable while indicating that the particle motion is subdiffusive. We investigate this type of ergodicity breaking within the continuous time random walk model and show that differs from the corresponding ensemble average. In particular we derive the distribution for the fluctuations of the random variable . Similarly we quantify the response to a constant external field, revealing a generalization of the Einstein relation. Consequences for the interpretation of single molecule tracking data are discussed.
Total citations
Scholar articles
Y He, S Burov, R Metzler, E Barkai - Physical Review Letters, 2008