Ultrametric diffusion in a strong centrally symmetric field
A random process at the boundary of a finite regularly branching tree encapsulated in the central-symmetric external field is considered with respect to introduced ultrametricity. We demonstrate an explicit procedure of reduction of dimensionality of the problem. In addition, we consider the strongfiel...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2015-03-01
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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/20433/16680 |
| _version_ | 1818025016969658368 |
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| author | Olga M Sizova |
| author_facet | Olga M Sizova |
| author_sort | Olga M Sizova |
| collection | DOAJ |
| description | A random process at the boundary of a finite regularly branching tree encapsulated in the central-symmetric external field is considered with respect to introduced ultrametricity. We demonstrate an explicit procedure of reduction of dimensionality of the problem. In addition, we consider the strongfield-limit and show that in this case the problem can be solved exactly. The exact solution of the strong-field-limit problem related to the case of linearly growing hierarchy of barriers is exemplified and supplemented by estimations of the transition kinetics into the ground state. |
| first_indexed | 2024-12-10T04:09:25Z |
| format | Article |
| id | doaj.art-55fdec04ca9d4620bdc2ea13dc568885 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T04:09:25Z |
| publishDate | 2015-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-55fdec04ca9d4620bdc2ea13dc5688852022-12-22T02:02:47ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812015-03-011918710410.14498/vsgtu138917853Ultrametric diffusion in a strong centrally symmetric fieldOlga M Sizova0N. N. Semenov Institute of Chemical Physics, Russian Academy of SciencesA random process at the boundary of a finite regularly branching tree encapsulated in the central-symmetric external field is considered with respect to introduced ultrametricity. We demonstrate an explicit procedure of reduction of dimensionality of the problem. In addition, we consider the strongfield-limit and show that in this case the problem can be solved exactly. The exact solution of the strong-field-limit problem related to the case of linearly growing hierarchy of barriers is exemplified and supplemented by estimations of the transition kinetics into the ground state.https://journals.eco-vector.com/1991-8615/article/viewFile/20433/16680ultrametricityultrametric diffusionhierarchical energy landscape |
| spellingShingle | Olga M Sizova Ultrametric diffusion in a strong centrally symmetric field Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki ultrametricity ultrametric diffusion hierarchical energy landscape |
| title | Ultrametric diffusion in a strong centrally symmetric field |
| title_full | Ultrametric diffusion in a strong centrally symmetric field |
| title_fullStr | Ultrametric diffusion in a strong centrally symmetric field |
| title_full_unstemmed | Ultrametric diffusion in a strong centrally symmetric field |
| title_short | Ultrametric diffusion in a strong centrally symmetric field |
| title_sort | ultrametric diffusion in a strong centrally symmetric field |
| topic | ultrametricity ultrametric diffusion hierarchical energy landscape |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20433/16680 |
| work_keys_str_mv | AT olgamsizova ultrametricdiffusioninastrongcentrallysymmetricfield |