Minimal Fermi model

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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Published in:Functional Materials
Date:2007
Main Authors: Naplekov, D.M., Tur, A.V., Yanovsky, V.V.
Format: Article
Language:English
Published: НТК «Інститут монокристалів» НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/135620
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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
id nasplib_isofts_kiev_ua-123456789-135620
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Minimal Fermi model
spellingShingle Minimal Fermi model
Naplekov, D.M.
Tur, A.V.
Yanovsky, V.V.
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
author Naplekov, D.M.
Tur, A.V.
Yanovsky, V.V.
author_facet Naplekov, D.M.
Tur, A.V.
Yanovsky, V.V.
publishDate 2007
language English
container_title Functional Materials
publisher НТК «Інститут монокристалів» НАН України
format Article
title_alt Мінімальна модель Фермі
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.
issn 1027-5495
url https://nasplib.isofts.kiev.ua/handle/123456789/135620
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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.
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first_indexed 2025-11-26T15:24:40Z
last_indexed 2025-11-26T15:24:40Z
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