Multiple peaks in the displacement distribution of active random walkers
- We consider a simple model for active random walk with general temporal correlations, and investigate the shape of the probability distribution function of the displacement during a short time interval. We find that under certain conditions the distribution exhibits multiple peaks and we show analytically and numerically that the existence of these peaks is governed by the walker?s tendency to move forward, while the correlations between the timing of its active motion control the magnitude and shape of the peaks. In particular, we find that in a homogeneous system such peaks can occur only if the persistence is strong enough.
| Author details: | Eial TeomyORCiD, Yael RoichmanORCiD, Yair ShokefORCiD |
|---|---|
| DOI: | https://doi.org/10.1088/1742-5468/ab4fde |
| ISSN: | 1742-5468 |
| Title of parent work (English): | Journal of statistical mechanics: theory and experiment |
| Publisher: | IOP Publ. Ltd. |
| Place of publishing: | Bristol |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2019/11/22 |
| Publication year: | 2019 |
| Release date: | 2020/10/11 |
| Tag: | 16; 4 |
| Volume: | 2019 |
| Issue: | 11 |
| Number of pages: | 22 |
| Funding institution: | US-Israel Binational Science FoundationUS-Israel Binational Science Foundation; Israel Science FoundationIsrael Science Foundation [968/16] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| Open Access / Green Open-Access |
