Cauchy universality and random billiards
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914728011366400 |
|---|---|
| author | Artuso, Roberto Zamora, Dario Javier |
| author_facet | Artuso, Roberto Zamora, Dario Javier |
| contents | Motion in bounded domains represents a paradigm in several settings: from billiard dynamics, to random walks in a finite lattice, with applications to relevant physical, ecological and biological problems. A remarkable universal property, involving the average of return times to the boundary, has been theoretically proposed, and experimentally verified in quite different contexts. We discuss here mechanisms that lead to violations of universality, induced by boundary effects. We suggest that our analysis should be relevant where non homogeneity appears in the stationary probability distribution in bounded domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cauchy universality and random billiards Artuso, Roberto Zamora, Dario Javier Statistical Mechanics Chaotic Dynamics Motion in bounded domains represents a paradigm in several settings: from billiard dynamics, to random walks in a finite lattice, with applications to relevant physical, ecological and biological problems. A remarkable universal property, involving the average of return times to the boundary, has been theoretically proposed, and experimentally verified in quite different contexts. We discuss here mechanisms that lead to violations of universality, induced by boundary effects. We suggest that our analysis should be relevant where non homogeneity appears in the stationary probability distribution in bounded domain. |
| title | Cauchy universality and random billiards |
| topic | Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2403.16912 |