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3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model
The 3D one-component spin system in an external magnetic field is studied using the collective variables method. The integration of the partition function of the system over the phase space layers is performed in the approximation of the sextic measure density including the even and the odd powers o...
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Інститут фізики конденсованих систем НАН України
2001
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/119752 |
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irk-123456789-1197522017-06-09T03:02:29Z 3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model Pylyuk, I.V. Kozlovskii, M.P. The 3D one-component spin system in an external magnetic field is studied using the collective variables method. The integration of the partition function of the system over the phase space layers is performed in the approximation of the sextic measure density including the even and the odd powers of the variable (the asymmetric ρ⁶ model). The general recurrence relations between the coefficients of the effective measure densities are obtained. The new functions appearing in these recurrence relations are given in the form of a convergent series. Тривимірна однокомпонентна спінова система в зовнішньому магнітному полі досліджується з допомогою методу колективних змінних. Інтегрування статистичної суми системи по шарах фазового простору здійснюється в наближенні густини міри, яка містить в собі парні та непарні степені змінної до шостого включно (асиметрична модель ρ⁶). Одержано загальні рекурентні співвідношення між коефіцієнтами ефективних густин мір. Нові функції, що появляються в цих рекурентних співвідношеннях, подані у вигляді збіжних рядів. 2001 Article 3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model / I.V. Pylyuk, M.P. Kozlovskii // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 15-24. — Бібліогр.: 18 назв. — англ. DOI:10.5488/CMP.4.1.15 http://dspace.nbuv.gov.ua/handle/123456789/119752 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
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English |
| description |
The 3D one-component spin system in an external magnetic field is studied using the collective variables method. The integration of the partition function of the system over the phase space layers is performed in the approximation of the sextic measure density including the even and the odd powers of the variable (the asymmetric ρ⁶ model). The general recurrence relations between the coefficients of the effective measure densities are obtained. The new functions appearing in these recurrence relations are given in the form of a convergent series. |
| format |
Article |
| author |
Pylyuk, I.V. Kozlovskii, M.P. |
| spellingShingle |
Pylyuk, I.V. Kozlovskii, M.P. 3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model Condensed Matter Physics |
| author_facet |
Pylyuk, I.V. Kozlovskii, M.P. |
| author_sort |
Pylyuk, I.V. |
| title |
3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model |
| title_short |
3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model |
| title_full |
3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model |
| title_fullStr |
3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model |
| title_full_unstemmed |
3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model |
| title_sort |
3d ising system in an external field. recurrence relations for the asymmetric ρ⁶ model |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2001 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119752 |
| citation_txt |
3D Ising system in an external field. Recurrence relations for the asymmetric ρ⁶ model / I.V. Pylyuk, M.P. Kozlovskii // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 15-24. — Бібліогр.: 18 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT pylyukiv 3disingsysteminanexternalfieldrecurrencerelationsfortheasymmetricr6model AT kozlovskiimp 3disingsysteminanexternalfieldrecurrencerelationsfortheasymmetricr6model |
| first_indexed |
2023-10-18T20:34:57Z |
| last_indexed |
2023-10-18T20:34:57Z |
| _version_ |
1796150593385922560 |