Extremal regime for one-dimensional Mott variable-range hopping
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913319049232384 |
|---|---|
| author | Croydon, David A. Fukushima, Ryoki Junk, Stefan |
| author_facet | Croydon, David A. Fukushima, Ryoki Junk, Stefan |
| contents | We study the asymptotic behaviour of a version of the one-dimensional Mott random walk in a regime that exhibits severe blocking. We establish that, for any fixed time, the appropriately-rescaled Mott random walk is situated between two environment-measurable barriers, the locations of which are shown to have an extremal scaling limit. Moreover, we give an asymptotic description of the distribution of the Mott random walk between the barriers that contain it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12102 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extremal regime for one-dimensional Mott variable-range hopping Croydon, David A. Fukushima, Ryoki Junk, Stefan Probability 60K37 (primary), 60F17, 60G70, 60J27, 82A41, 82D30 We study the asymptotic behaviour of a version of the one-dimensional Mott random walk in a regime that exhibits severe blocking. We establish that, for any fixed time, the appropriately-rescaled Mott random walk is situated between two environment-measurable barriers, the locations of which are shown to have an extremal scaling limit. Moreover, we give an asymptotic description of the distribution of the Mott random walk between the barriers that contain it. |
| title | Extremal regime for one-dimensional Mott variable-range hopping |
| topic | Probability 60K37 (primary), 60F17, 60G70, 60J27, 82A41, 82D30 |
| url | https://arxiv.org/abs/2208.12102 |