Periodic Lorentz gas with small scatterers
CC BY
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| Ngôn ngữ: | English |
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2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00440-023-01197-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7651 |
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oai:localhost:PNK-76512023-04-06T07:58:33Z Periodic Lorentz gas with small scatterers Péter, Bálint Henk, Bruin Dalia, Terhesiu horizon planar periodic Lorentz non-standard Central Limit Theorem CC BY We prove limit laws for infinite horizon planar periodic Lorentz gases when, as time n tends to infinity, the scatterer size ρ may also tend to zero simultaneously at a sufficiently slow pace. In particular we obtain a non-standard Central Limit Theorem as well as a Local Limit Theorem for the displacement function. To the best of our knowledge, these are the first results on an intermediate case between the two well-studied regimes with superdiffusive nlogn−−−−−√ scaling (i) for fixed infinite horizon configurations—letting first n→∞ and then ρ→0—studied e.g. by Szász and Varjú (J Stat Phys 129(1):59–80, 2007) and (ii) Boltzmann–Grad type situations—letting first ρ→0 and then n→∞—studied by Marklof and Tóth (Commun Math Phys 347(3):933–981, 2016) . 2023-04-06T07:57:11Z 2023-04-06T07:57:11Z 2023 Book https://link.springer.com/article/10.1007/s00440-023-01197-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7651 en application/pdf |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
horizon planar periodic Lorentz non-standard Central Limit Theorem |
| spellingShingle |
horizon planar periodic Lorentz non-standard Central Limit Theorem Péter, Bálint Henk, Bruin Dalia, Terhesiu Periodic Lorentz gas with small scatterers |
| description |
CC BY |
| format |
Book |
| author |
Péter, Bálint Henk, Bruin Dalia, Terhesiu |
| author_facet |
Péter, Bálint Henk, Bruin Dalia, Terhesiu |
| author_sort |
Péter, Bálint |
| title |
Periodic Lorentz gas with small scatterers |
| title_short |
Periodic Lorentz gas with small scatterers |
| title_full |
Periodic Lorentz gas with small scatterers |
| title_fullStr |
Periodic Lorentz gas with small scatterers |
| title_full_unstemmed |
Periodic Lorentz gas with small scatterers |
| title_sort |
periodic lorentz gas with small scatterers |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00440-023-01197-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7651 |
| _version_ |
1762456095217942528 |
| score |
8.887836 |