Journal
PHYSICAL REVIEW E
Volume 94, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.94.052147
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Funding
- Basque Government through the BERC program
- Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa accreditation [SEV-2013-0323, MTM2016-76016-R]
- Spanish Ministry of Economy and Competitiveness [SEV-2015-0522, FIS2014-56107-R]
- Fundacio Privada CELLEX (Barcelona)
- HFSP [GA RGP0027/2012]
- LaserLab Europe 4 [GA 654148]
- Bizkaia Talent Organization [AYD-000-252]
- European Commission through the COFUND program
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We present a modeling approach for diffusion in a complex medium characterized by a random length scale. The resulting stochastic process shows subdiffusion with a behavior in qualitative agreement with single-particle tracking experiments in living cells, such as ergodicity breaking, p variation, and aging. In particular, this approach recapitulates characteristic features previously described in part by the fractional Brownian motion and in part by the continuous-time random walk. Moreover, for a proper distribution of the length scale, a single parameter controls the ergodic-to-nonergodic transition and, remarkably, also drives the transition of the diffusion equation of the process from nonfractional to fractional, thus demonstrating that fractional kinetics emerges from ergodicity breaking.
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