Approximate solution for Fokker-Planck equation
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtai...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2015
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155272 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Approximate solution for Fokker-Planck equation / M.T. Araujo, E. Drigo Filho // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 43003: 1–12. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155272 |
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dspace |
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irk-123456789-1552722019-06-17T01:28:24Z Approximate solution for Fokker-Planck equation Drigo Filho, E. Araujo, M.T. In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed. У цiй статтi запропоновано наближений розв’язок спецiального класу рiвняння Фоккера-Планка. Розв’язок базується на зв’язку з рiвнянням типу Шредингера з частково обмеженим i симетричним потенцiалом. Щоб оцiнити точнiсть розв’язку, запропоновано функцiю похибок, яка отримана з оригiнального рiвняння Фоккера-Планка. Використовуючи запропонований метод, проаналiзовано два приклади, а саме, утятий гармонiчний потенцiал i негармонiчний полiном. Окрiм цього, для утятого гармонiчного потенцiалу обговорено поведiнку системи в залежностi вiд температури. 2015 Article Approximate solution for Fokker-Planck equation / M.T. Araujo, E. Drigo Filho // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 43003: 1–12. — Бібліогр.: 19 назв. — англ. 1607-324X DOI:10.5488/CMP.18.43003 arXiv:1512.07787 PACS: 05.10.Gg, 02.30.Mv http://dspace.nbuv.gov.ua/handle/123456789/155272 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed. |
| format |
Article |
| author |
Drigo Filho, E. Araujo, M.T. |
| spellingShingle |
Drigo Filho, E. Araujo, M.T. Approximate solution for Fokker-Planck equation Condensed Matter Physics |
| author_facet |
Drigo Filho, E. Araujo, M.T. |
| author_sort |
Drigo Filho, E. |
| title |
Approximate solution for Fokker-Planck equation |
| title_short |
Approximate solution for Fokker-Planck equation |
| title_full |
Approximate solution for Fokker-Planck equation |
| title_fullStr |
Approximate solution for Fokker-Planck equation |
| title_full_unstemmed |
Approximate solution for Fokker-Planck equation |
| title_sort |
approximate solution for fokker-planck equation |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155272 |
| citation_txt |
Approximate solution for Fokker-Planck equation / M.T. Araujo, E. Drigo Filho // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 43003: 1–12. — Бібліогр.: 19 назв. — англ. |
| series |
Condensed Matter Physics |
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