Minimal Fermi model
In this work, we consider the simple model for Fermi acceleration of a particle between two periodically oscillating walls, The law of wall movement is continuous but not smooth. Exact mapping for this system has been obtained. A fractal saet of trajectories with infinitely increasing speed is shown...
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Видавець: | НТК «Інститут монокристалів» НАН України |
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Дата: | 2007 |
Автори: | , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
НТК «Інститут монокристалів» НАН України
2007
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Назва видання: | Functional Materials |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/135620 |
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Цитувати: | Minimal Fermi model / D.M. Naplekov, A.V. Tur, V.V. Yanovsky // Functional Materials. — 2007. — Т. 14, № 1. — С. 5-14. — Бібліогр.: 11 назв. — англ. |
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irk-123456789-1356202018-06-16T03:09:49Z Minimal Fermi model Naplekov, D.M. Tur, A.V. Yanovsky, V.V. In this work, we consider the simple model for Fermi acceleration of a particle between two periodically oscillating walls, The law of wall movement is continuous but not smooth. Exact mapping for this system has been obtained. A fractal saet of trajectories with infinitely increasing speed is shown to exist. The main characteristic of such trajectories are discussed. A comparison with heigh-energy approach has been carried out. Quanlitative differences in behavior of exact and approximate description have been found. For example, in heigh-energy approach, there are no trajectories with unlimited speed increase. 2007 Article Minimal Fermi model / D.M. Naplekov, A.V. Tur, V.V. Yanovsky // Functional Materials. — 2007. — Т. 14, № 1. — С. 5-14. — Бібліогр.: 11 назв. — англ. 1027-5495 http://dspace.nbuv.gov.ua/handle/123456789/135620 en Functional Materials НТК «Інститут монокристалів» НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
language |
English |
description |
In this work, we consider the simple model for Fermi acceleration of a particle between two periodically oscillating walls, The law of wall movement is continuous but not smooth. Exact mapping for this system has been obtained. A fractal saet of trajectories with infinitely increasing speed is shown to exist. The main characteristic of such trajectories are discussed. A comparison with heigh-energy approach has been carried out. Quanlitative differences in behavior of exact and approximate description have been found. For example, in heigh-energy approach, there are no trajectories with unlimited speed increase. |
format |
Article |
author |
Naplekov, D.M. Tur, A.V. Yanovsky, V.V. |
spellingShingle |
Naplekov, D.M. Tur, A.V. Yanovsky, V.V. Minimal Fermi model Functional Materials |
author_facet |
Naplekov, D.M. Tur, A.V. Yanovsky, V.V. |
author_sort |
Naplekov, D.M. |
title |
Minimal Fermi model |
title_short |
Minimal Fermi model |
title_full |
Minimal Fermi model |
title_fullStr |
Minimal Fermi model |
title_full_unstemmed |
Minimal Fermi model |
title_sort |
minimal fermi model |
publisher |
НТК «Інститут монокристалів» НАН України |
publishDate |
2007 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/135620 |
citation_txt |
Minimal Fermi model / D.M. Naplekov, A.V. Tur, V.V. Yanovsky // Functional Materials. — 2007. — Т. 14, № 1. — С. 5-14. — Бібліогр.: 11 назв. — англ. |
series |
Functional Materials |
work_keys_str_mv |
AT naplekovdm minimalfermimodel AT turav minimalfermimodel AT yanovskyvv minimalfermimodel |
first_indexed |
2023-10-18T21:12:55Z |
last_indexed |
2023-10-18T21:12:55Z |
_version_ |
1796152219919187968 |