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Periodic Lorentz gas with small scatterers

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Main Authors: Péter, Bálint, Henk, Bruin, Dalia, Terhesiu
Format: Book
Language:English
Published: 2023
Subjects:
horizon planar periodic Lorentz
non-standard Central Limit Theorem
Online Access:https://link.springer.com/article/10.1007/s00440-023-01197-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7651
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spelling 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 8.893527

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