Recurrence relations for the three-dimensional Ising-like model in the external field
The method for calculation of the partition function of lattice model for the magnet in the external field near critical point (CP) is proposed. The recurrence relations and their explicit solution near the critical point are founded. It is shown that dependence on temperature of thermodynamic fu...
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| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2005
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119747 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Recurrence relations for the three-dimensional Ising-like model in the external field / M.P. Kozlovskii // Condensed Matter Physics. — 2005. — Т. 8, № 3(43). — С. 473–506. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1197472017-06-09T03:04:56Z Recurrence relations for the three-dimensional Ising-like model in the external field Kozlovskii, M.P. The method for calculation of the partition function of lattice model for the magnet in the external field near critical point (CP) is proposed. The recurrence relations and their explicit solution near the critical point are founded. It is shown that dependence on temperature of thermodynamic functions near CP, when the field value comes down to zero, is in good agreement with the previous results obtained using the collective variable method. The phase transition temperature (when h = 0) is calculated and the dependence on parameters of interaction potential is found. Запропонований метод розрахунку статистичної суми граткової моделі магнетика в зовнішньому полі поблизу критичної точки. Знайдені рекурентні співвідношення та їхній явний розв’язок поблизу фіксованої точки. Показано, що в границі, коли величину поля спрямувати до нуля, приходимо до результатів, отриманих раніше в методі колективних змінних у випадку відсутності зовнішнього поля. Розрахована температура фазового переходу (при h = 0) та знайдена її залежність від параметрів потенціалу взаємодії. 2005 Article Recurrence relations for the three-dimensional Ising-like model in the external field / M.P. Kozlovskii // Condensed Matter Physics. — 2005. — Т. 8, № 3(43). — С. 473–506. — Бібліогр.: 18 назв. — англ. 1607-324X PACS: 05.50.+q, 64.60.Fr, 75.10.Hk DOI:10.5488/CMP.8.3.473 http://dspace.nbuv.gov.ua/handle/123456789/119747 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 |
The method for calculation of the partition function of lattice model for the
magnet in the external field near critical point (CP) is proposed. The recurrence
relations and their explicit solution near the critical point are founded.
It is shown that dependence on temperature of thermodynamic functions
near CP, when the field value comes down to zero, is in good agreement
with the previous results obtained using the collective variable method. The
phase transition temperature (when h = 0) is calculated and the dependence
on parameters of interaction potential is found. |
| format |
Article |
| author |
Kozlovskii, M.P. |
| spellingShingle |
Kozlovskii, M.P. Recurrence relations for the three-dimensional Ising-like model in the external field Condensed Matter Physics |
| author_facet |
Kozlovskii, M.P. |
| author_sort |
Kozlovskii, M.P. |
| title |
Recurrence relations for the three-dimensional Ising-like model in the external field |
| title_short |
Recurrence relations for the three-dimensional Ising-like model in the external field |
| title_full |
Recurrence relations for the three-dimensional Ising-like model in the external field |
| title_fullStr |
Recurrence relations for the three-dimensional Ising-like model in the external field |
| title_full_unstemmed |
Recurrence relations for the three-dimensional Ising-like model in the external field |
| title_sort |
recurrence relations for the three-dimensional ising-like model in the external field |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119747 |
| citation_txt |
Recurrence relations for the three-dimensional Ising-like model in the external field / M.P. Kozlovskii // Condensed Matter Physics. — 2005. — Т. 8, № 3(43). — С. 473–506. — Бібліогр.: 18 назв. — англ. |
| series |
Condensed Matter Physics |
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AT kozlovskiimp recurrencerelationsforthethreedimensionalisinglikemodelintheexternalfield |
| first_indexed |
2023-10-18T20:35:20Z |
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2023-10-18T20:35:20Z |
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1796150592856391680 |