Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.01978 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912306530615296 |
|---|---|
| author | Grueneis, Ferdinand |
| author_facet | Grueneis, Ferdinand |
| contents | When the rate of shot noise is controlled by on-off states we speak of intermittent shot noise. The on-off states lead to alternately occurring clusters of events and intermissions, respectively. We derive the power spectrum of the intermittent shot noise by applying the Wiener-Khinchin theorem. Besides reduced shot noise, we obtain excess noise, which depends on the parameters of the on-off states. We calculate the excess noise for power-law distributed on-states; within the scaling region, the excess noise is excellently approximated by C/f^b. The behavior of the slope b and of the amplitude C in dependence of the on-off times is investigated. For large scaling regions we find a preference for a pure 1/f shape. Finally, we regard the variance of events occurring within a time interval. In the presence of 1/f fluctuations, the variance of counts attains extreme values which are accompanied by an extreme property of slope b. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intermittent shot noise generating 1/f fluctuations Grueneis, Ferdinand Statistical Mechanics When the rate of shot noise is controlled by on-off states we speak of intermittent shot noise. The on-off states lead to alternately occurring clusters of events and intermissions, respectively. We derive the power spectrum of the intermittent shot noise by applying the Wiener-Khinchin theorem. Besides reduced shot noise, we obtain excess noise, which depends on the parameters of the on-off states. We calculate the excess noise for power-law distributed on-states; within the scaling region, the excess noise is excellently approximated by C/f^b. The behavior of the slope b and of the amplitude C in dependence of the on-off times is investigated. For large scaling regions we find a preference for a pure 1/f shape. Finally, we regard the variance of events occurring within a time interval. In the presence of 1/f fluctuations, the variance of counts attains extreme values which are accompanied by an extreme property of slope b. |
| title | Intermittent shot noise generating 1/f fluctuations |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2504.01978 |