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Recurrence relations for the three-dimensional Ising-like model in the external field

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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Main Author: Kozlovskii, M.P.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2005
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/119747
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spelling 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
work_keys_str_mv AT kozlovskiimp recurrencerelationsforthethreedimensionalisinglikemodelintheexternalfield
first_indexed 2023-10-18T20:35:20Z
last_indexed 2023-10-18T20:35:20Z
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