Двопараметричнi модифiкацiї статистик енiонiв
Two-parameter models of fractional statistics aimed at finding an expression for the occupation numbers of free anyons have been considered. Virial coefficients are found for statistics of several types: к-deformed Polychronakos and Haldane–Wu statistics, Polychronakos and Haldane–Wu statistics modi...
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| Date: | 2019 |
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Publishing house "Academperiodika"
2019
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ujp2-article-20191192019-04-16T20:13:54Z Two-Parameter Modifications of Anyonic Statistics Двопараметричнi модифiкацiї статистик енiонiв Hornetska, M. Ya. Rovenchak, A. A. fractional statistics anyons к-deformation Polychronakos statistics Haldane–Wu statistics Gentile statistics - дробовi статистики енiони к-деформацiя статистика Полiхронакоса статистика Голдейна–Ву статистика Джентiле Two-parameter models of fractional statistics aimed at finding an expression for the occupation numbers of free anyons have been considered. Virial coefficients are found for statistics of several types: к-deformed Polychronakos and Haldane–Wu statistics, Polychronakos and Haldane–Wu statistics modified with the q-exponential in the bosonic limit, and incomplete and nonadditive Gentile statistics for various level-filling maxima. A relation between the anyonic statistics and various statistics of fractional types is found and analyzed. У роботi розглянуто двопараметричнi моделi дробових статистик, якi спрямованi на встановлення виразу для чисел заповнення вiльних енiонiв. Знайдено вiрiальнi коефiцiєнти для таких типiв статистик: к-деформованi статистики Полiхронакоса i Голдейна–Ву, модифiкованi з q-експонентою статистики Полiхронакоса i Голдейна–Ву в бозоннiй границi, неповна та неадитивна статистика Джентiле для рiзних значень максимального заповнення рiвня. Встановлено та проаналiзовано зв’язок мiж рiзними типами дробових статистик та статистикою енiонiв. Publishing house "Academperiodika" 2019-01-08 Article Article Peer-reviewed application/pdf application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019119 10.15407/ujpe61.02.0168 Ukrainian Journal of Physics; Vol. 61 No. 2 (2016); 168 Український фізичний журнал; Том 61 № 2 (2016); 168 2071-0194 2071-0186 10.15407/ujpe61.02 en uk https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019119/1034 https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019119/1035 Copyright (c) 2019 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| institution |
Ukrainian Journal of Physics |
| baseUrl_str |
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| datestamp_date |
2019-04-16T20:13:54Z |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
дробовi статистики енiони к-деформацiя статистика Полiхронакоса статистика Голдейна–Ву статистика Джентiле |
| spellingShingle |
дробовi статистики енiони к-деформацiя статистика Полiхронакоса статистика Голдейна–Ву статистика Джентiле Hornetska, M. Ya. Rovenchak, A. A. Двопараметричнi модифiкацiї статистик енiонiв |
| topic_facet |
fractional statistics anyons к-deformation Polychronakos statistics Haldane–Wu statistics Gentile statistics - дробовi статистики енiони к-деформацiя статистика Полiхронакоса статистика Голдейна–Ву статистика Джентiле |
| format |
Article |
| author |
Hornetska, M. Ya. Rovenchak, A. A. |
| author_facet |
Hornetska, M. Ya. Rovenchak, A. A. |
| author_sort |
Hornetska, M. Ya. |
| title |
Двопараметричнi модифiкацiї статистик енiонiв |
| title_short |
Двопараметричнi модифiкацiї статистик енiонiв |
| title_full |
Двопараметричнi модифiкацiї статистик енiонiв |
| title_fullStr |
Двопараметричнi модифiкацiї статистик енiонiв |
| title_full_unstemmed |
Двопараметричнi модифiкацiї статистик енiонiв |
| title_sort |
двопараметричнi модифiкацiї статистик енiонiв |
| title_alt |
Two-Parameter Modifications of Anyonic Statistics |
| description |
Two-parameter models of fractional statistics aimed at finding an expression for the occupation numbers of free anyons have been considered. Virial coefficients are found for statistics of several types: к-deformed Polychronakos and Haldane–Wu statistics, Polychronakos and Haldane–Wu statistics modified with the q-exponential in the bosonic limit, and incomplete and nonadditive Gentile statistics for various level-filling maxima. A relation between the anyonic statistics and various statistics of fractional types is found and analyzed. |
| publisher |
Publishing house "Academperiodika" |
| publishDate |
2019 |
| url |
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019119 |
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AT hornetskamya twoparametermodificationsofanyonicstatistics AT rovenchakaa twoparametermodificationsofanyonicstatistics AT hornetskamya dvoparametričnimodifikaciístatistikenioniv AT rovenchakaa dvoparametričnimodifikaciístatistikenioniv |
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2025-10-02T01:15:53Z |
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2025-10-02T01:15:53Z |
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1851765172665843712 |