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Analytical Number Theory and the Energy of Transition of Bose Gas to Fermi gas. Critical Lines as Boundaries of Noninteracting Gas (an Analog of the Bose Gas in Classical Thermodynamics)статья
Статья опубликована в журнале из списка RSCI Web of Science
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 6 декабря 2018 г.
- Автор: Maslov V.P.
- Журнал: Russian Journal of Mathematical Physics
- Том: 25
- Номер: 2
- Год издания: 2018
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 220
- Последняя страница: 232
- DOI: 10.1134/S1061920818020061
- Аннотация: It is proved that certain distributions in the analytic number theory coincide with the Bose-Einstein distribution. The transition of the boson branch of the decomposition of an integer (with repeated summands) into the fermion branch (without repeated summands) is described in detail near a small value of activity. Analytic formulas for the energy of transition of Bose gas to Fermi gas are obtained in the three-dimensional case and the nine-dimensional case (diatomic molecule). The radius of the Bose gas "jump" in the transition to the Fermi gas is calculated. The relationship between the constructed concepts and thermodynamics is described based on the obtained experimental values of gas characteristics on critical lines.
- Добавил в систему: Левитин Александр Леонидович