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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.17132 |
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| _version_ | 1866908551632388096 |
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| author | De Blasi, Irene Takeuchi, Airi Terracini, Susanna |
| author_facet | De Blasi, Irene Takeuchi, Airi Terracini, Susanna |
| contents | This paper deals with the so-called Boltzmann billiard, that is, a billiard subjected to a central force of the type $V(r)=-α/r-β/r^2$, $α$ and $β$ being positive constants, and with a straight reflection table. In the particular case of $α$ and $β$ positive, we prove the presence of a symbolic dynamics, and hence of positive topological entropy, at positive energy and for $β$ sufficiently small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17132 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chaotic Boltzmann's Billiard Systems at positive energy De Blasi, Irene Takeuchi, Airi Terracini, Susanna Dynamical Systems This paper deals with the so-called Boltzmann billiard, that is, a billiard subjected to a central force of the type $V(r)=-α/r-β/r^2$, $α$ and $β$ being positive constants, and with a straight reflection table. In the particular case of $α$ and $β$ positive, we prove the presence of a symbolic dynamics, and hence of positive topological entropy, at positive energy and for $β$ sufficiently small. |
| title | Chaotic Boltzmann's Billiard Systems at positive energy |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2509.17132 |