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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| Veröffentlicht in: | Functional Materials |
|---|---|
| Datum: | 2007 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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НТК «Інститут монокристалів» НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/135620 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862576755424886784 |
|---|---|
| author | Naplekov, D.M. Tur, A.V. Yanovsky, V.V. |
| author_facet | Naplekov, D.M. Tur, A.V. Yanovsky, V.V. |
| 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. |
| collection | DSpace DC |
| container_title | Functional Materials |
| 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.
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| first_indexed | 2025-11-26T15:24:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-135620 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-11-26T15:24:40Z |
| publishDate | 2007 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Naplekov, D.M. Tur, A.V. Yanovsky, V.V. 2018-06-15T12:51:33Z 2018-06-15T12:51:33Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/135620 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. en НТК «Інститут монокристалів» НАН України Functional Materials Minimal Fermi model Мінімальна модель Фермі Article published earlier |
| spellingShingle | Minimal Fermi model Naplekov, D.M. Tur, A.V. Yanovsky, V.V. |
| title | Minimal Fermi model |
| title_alt | Мінімальна модель Фермі |
| title_full | Minimal Fermi model |
| title_fullStr | Minimal Fermi model |
| title_full_unstemmed | Minimal Fermi model |
| title_short | Minimal Fermi model |
| title_sort | minimal fermi model |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/135620 |
| work_keys_str_mv | AT naplekovdm minimalfermimodel AT turav minimalfermimodel AT yanovskyvv minimalfermimodel AT naplekovdm mínímalʹnamodelʹfermí AT turav mínímalʹnamodelʹfermí AT yanovskyvv mínímalʹnamodelʹfermí |