Geometric attractor of an electron beam passing through a crystal
The Lemmlein algorithm assigns a cyclic interaction of a mathematical point with other (n+1) points of the n - dimensional Euclidean space. In this paper generalization A of the Lemmlein algorithm for an arbitrary number of points m situated in the n - dimensional Riemann space is proposed. Algorith...
Збережено в:
| Дата: | 2001 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2001
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| Назва видання: | Вопросы атомной науки и техники |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/79473 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Geometric attractor of an electron beam passing through a crystal / A.M. Gurin // Вопросы атомной науки и техники. — 2001. — № 6. — С. 147-148. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-79473 |
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irk-123456789-794732015-04-03T03:02:18Z Geometric attractor of an electron beam passing through a crystal Gurin, A.M. Electrodynamics of high energies in matter and strong fields The Lemmlein algorithm assigns a cyclic interaction of a mathematical point with other (n+1) points of the n - dimensional Euclidean space. In this paper generalization A of the Lemmlein algorithm for an arbitrary number of points m situated in the n - dimensional Riemann space is proposed. Algorithm A generates a Markovian chain consisting of the finite number of combinatorially different strongly convergent attractors. Algorithm A is generalized to describe the interaction of mass points, e.g., the motion of electrons in the real crystal medium. The strong convergence of the attractors provides stability of the electron trajectories in the vicinity of an attractor in the unit cell of the crystal after electron scattering at the crystal defects. 2001 Article Geometric attractor of an electron beam passing through a crystal / A.M. Gurin // Вопросы атомной науки и техники. — 2001. — № 6. — С. 147-148. — Бібліогр.: 8 назв. — англ. 1562-6016 PACS: 12.20.-m, 13.40.-f, 13.60-Hb, 13.88.+e http://dspace.nbuv.gov.ua/handle/123456789/79473 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Electrodynamics of high energies in matter and strong fields Electrodynamics of high energies in matter and strong fields |
| spellingShingle |
Electrodynamics of high energies in matter and strong fields Electrodynamics of high energies in matter and strong fields Gurin, A.M. Geometric attractor of an electron beam passing through a crystal Вопросы атомной науки и техники |
| description |
The Lemmlein algorithm assigns a cyclic interaction of a mathematical point with other (n+1) points of the n - dimensional Euclidean space. In this paper generalization A of the Lemmlein algorithm for an arbitrary number of points m situated in the n - dimensional Riemann space is proposed. Algorithm A generates a Markovian chain consisting of the finite number of combinatorially different strongly convergent attractors. Algorithm A is generalized to describe the interaction of mass points, e.g., the motion of electrons in the real crystal medium. The strong convergence of the attractors provides stability of the electron trajectories in the vicinity of an attractor in the unit cell of the crystal after electron scattering at the crystal defects. |
| format |
Article |
| author |
Gurin, A.M. |
| author_facet |
Gurin, A.M. |
| author_sort |
Gurin, A.M. |
| title |
Geometric attractor of an electron beam passing through a crystal |
| title_short |
Geometric attractor of an electron beam passing through a crystal |
| title_full |
Geometric attractor of an electron beam passing through a crystal |
| title_fullStr |
Geometric attractor of an electron beam passing through a crystal |
| title_full_unstemmed |
Geometric attractor of an electron beam passing through a crystal |
| title_sort |
geometric attractor of an electron beam passing through a crystal |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| publishDate |
2001 |
| topic_facet |
Electrodynamics of high energies in matter and strong fields |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/79473 |
| citation_txt |
Geometric attractor of an electron beam passing through a crystal / A.M. Gurin // Вопросы атомной науки и техники. — 2001. — № 6. — С. 147-148. — Бібліогр.: 8 назв. — англ. |
| series |
Вопросы атомной науки и техники |
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AT gurinam geometricattractorofanelectronbeampassingthroughacrystal |
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2023-10-18T19:18:46Z |
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