Ageing effects in ultraslow continuous time random walks
- In ageing systems physical observables explicitly depend on the time span elapsing between the original initiation of the system and the actual start of the recording of the particle motion. We here study the signatures of ageing in the framework of ultraslow continuous time random walk processes with super-heavy tailed waiting time densities. We derive the density for the forward or recurrent waiting time of the motion as function of the ageing time, generalise the Montroll-Weiss equation for this process, and analyse the ageing behaviour of the ensemble and time averaged mean squared displacements.
| Author details: | Aleksei V. ChechkinORCiDGND, Holger KantzORCiD, Ralf MetzlerORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1140/epjb/e2017-80270-9 |
| ISSN: | 1434-6028 |
| ISSN: | 1434-6036 |
| Title of parent work (English): | The European physical journal : B, Condensed matter and complex systems |
| Publisher: | Springer |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2017 |
| Publication year: | 2017 |
| Release date: | 2020/04/20 |
| Volume: | 90 |
| Number of pages: | 12 |
| Funding institution: | Academy of Finland within Finland Distinguished Professorship programme; Deutsche Forschungsgemeinschaft [ME 1535/6-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
