Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing

Author:

Hou Ru12345ORCID,Cherstvy Andrey G.5678ORCID,Metzler Ralf5678ORCID,Akimoto Takuma9101112

Affiliation:

1. School of Mathematics and Statistics

2. Lanzhou University

3. Lanzhou 730000

4. China

5. Institute for Physics & Astronomy

6. University of Potsdam

7. 14476 Potsdam-Golm

8. Germany

9. Department of Physics

10. Tokyo University of Science

11. Chiba 278-8510

12. Japan

Abstract

We examine renewal processes with power-law waiting time distributions and non-zero drift via computing analytically and by computer simulations their ensemble and time averaged spreading characteristics.

Funder

China Scholarship Council

Japan Society for the Promotion of Science

Deutsche Forschungsgemeinschaft

Fundacja na rzecz Nauki Polskiej

Publisher

Royal Society of Chemistry (RSC)

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy

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