Deterministic diffusion
UDC 517.938 In this paper, we present a series of definitions and properties of lifting dynamical systems (LDS) corresponding to the notion of deterministic diffusion. We give heuristic explanations of the mechanism of formation of deterministic diffusion in LDS and the anomalous deterministic dif...
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| Date: | 2026 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1535 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507328960266240 |
|---|---|
| author | Nizhnik, I. L. Nizhnik, L. P. Нижник, І. Л. Нижник, Л. П. |
| author_facet | Nizhnik, I. L. Nizhnik, L. P. Нижник, І. Л. Нижник, Л. П. |
| author_sort | Nizhnik, I. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:27:57Z |
| description | UDC 517.938
In this paper, we present a series of definitions and properties of lifting dynamical systems (LDS) corresponding to the notion of deterministic diffusion. We give heuristic explanations of the mechanism of formation of deterministic diffusion in LDS and the anomalous deterministic diffusion in the case of transportation in long billiard channels with spatially periodic structures and nonideal reflection law.
The expressions for the coefficient of deterministic diffusion are obtained. |
| doi_str_mv | 10.3842/umzh.v71i11.1535 |
| first_indexed | 2026-03-24T02:07:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1535 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T02:07:35Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fa/c698c9e8466d3b4b901d22dfaf5635fa |
| spelling | umjimathkievua-article-15352026-02-09T14:27:57Z Deterministic diffusion Детермінована дифузія Nizhnik, I. L. Nizhnik, L. P. Нижник, І. Л. Нижник, Л. П. UDC 517.938 In this paper, we present a series of definitions and properties of lifting dynamical systems (LDS) corresponding to the notion of deterministic diffusion. We give heuristic explanations of the mechanism of formation of deterministic diffusion in LDS and the anomalous deterministic diffusion in the case of transportation in long billiard channels with spatially periodic structures and nonideal reflection law. The expressions for the coefficient of deterministic diffusion are obtained. УДК 517.938 Наведено означення та властивості, що стосуються поняття детермінованої дифузії для одновимірних динамічних систем із ліфтом. Дано евристичні пояснення механізму виникнення детермінованої дифузії у динамічних системах із ліфтом і аномальної детермінованої дифузії при транспорті у довгих більярдних каналах із просторово-періодичним неідеальним законом відбиття. Наведено вирази для коефіцієнта детермінованої дифузії. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1535 10.3842/umzh.v71i11.1535 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 11 (2019); 1553-1569 Український математичний журнал; Том 71 № 11 (2019); 1553-1569 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/1535/517 Copyright (c) 2019 Nizhnik I. L.; Nizhnik L. P. |
| spellingShingle | Nizhnik, I. L. Nizhnik, L. P. Нижник, І. Л. Нижник, Л. П. Deterministic diffusion |
| title | Deterministic diffusion |
| title_alt | Детермінована дифузія |
| title_full | Deterministic diffusion |
| title_fullStr | Deterministic diffusion |
| title_full_unstemmed | Deterministic diffusion |
| title_short | Deterministic diffusion |
| title_sort | deterministic diffusion |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1535 |
| work_keys_str_mv | AT nizhnikil deterministicdiffusion AT nizhniklp deterministicdiffusion AT nižnikíl deterministicdiffusion AT nižniklp deterministicdiffusion AT nizhnikil determínovanadifuzíâ AT nizhniklp determínovanadifuzíâ AT nižnikíl determínovanadifuzíâ AT nižniklp determínovanadifuzíâ |