Fluctuations of random walks in critical random environments

Author:

Mardoukhi Yousof1234,Jeon Jae-Hyung56789,Chechkin Aleksei V.123410,Metzler Ralf1234ORCID

Affiliation:

1. Institute of Physics and Astronomy

2. University of Potsdam

3. 14476 Potsdam-Golm

4. Germany

5. School of Physics

6. Korea Institute for Advanced Study

7. Seoul 02455

8. Republic of Korea

9. Department of Physics

10. Akhiezer Institute for Theoretical Physics

Abstract

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. We here study the influence of the cluster size distribution on diffusion measurements in percolation networks.

Funder

Deutsche Forschungsgemeinschaft

Fundacja na rzecz Nauki Polskiej

Publisher

Royal Society of Chemistry (RSC)

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy

Reference78 articles.

1. B. B. Mandelbrot , The Fractal Geometry of Nature , W.H. Freeman , New York , 1977

2. J. Feder , Fractals , Plenum Press , New York, NY , 1988

3. H. Takayasu , Fractals in the physical sciences , John Wiley & Sons , Chichester, UK , 1992

4. Ueber unendliche, lineare Punktmannichfaltigkeiten

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