The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem
One of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered. Deviations from classical trajectories are calculated and evolution of the moments of distribution function is constructed. The relation between the...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2011-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/21100/17358 |
| _version_ | 1811330240572555264 |
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| author | Andrey I Mikhailov |
| author_facet | Andrey I Mikhailov |
| author_sort | Andrey I Mikhailov |
| collection | DOAJ |
| description | One of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered. Deviations from classical trajectories are calculated and evolution of the moments of distribution function is constructed. The relation between the received results and absence of paradox of Poincare-Zermelo in the functional mechanics is discussed. Destruction of periodicity of movement in the functional mechanics is shown and decrement of attenuation for classical invariants of movement on a trajectory of functional mechanical averages is calculated. |
| first_indexed | 2024-04-13T15:57:52Z |
| format | Article |
| id | doaj.art-e5024fd5fef64852ad324c06334bc5e5 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:57:52Z |
| publishDate | 2011-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-e5024fd5fef64852ad324c06334bc5e52022-12-22T02:40:38ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-03-0115112413318517The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theoremAndrey I Mikhailov0Russian Federal Research Institute of Fisheries and OceanographyOne of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered. Deviations from classical trajectories are calculated and evolution of the moments of distribution function is constructed. The relation between the received results and absence of paradox of Poincare-Zermelo in the functional mechanics is discussed. Destruction of periodicity of movement in the functional mechanics is shown and decrement of attenuation for classical invariants of movement on a trajectory of functional mechanical averages is calculated.https://journals.eco-vector.com/1991-8615/article/viewFile/21100/17358classical mechanicsirreversibility problemliouville equation |
| spellingShingle | Andrey I Mikhailov The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki classical mechanics irreversibility problem liouville equation |
| title | The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem |
| title_full | The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem |
| title_fullStr | The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem |
| title_full_unstemmed | The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem |
| title_short | The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem |
| title_sort | functional mechanics evolution of the moments of distribution function and the poincare recurrence theorem |
| topic | classical mechanics irreversibility problem liouville equation |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/21100/17358 |
| work_keys_str_mv | AT andreyimikhailov thefunctionalmechanicsevolutionofthemomentsofdistributionfunctionandthepoincarerecurrencetheorem AT andreyimikhailov functionalmechanicsevolutionofthemomentsofdistributionfunctionandthepoincarerecurrencetheorem |