Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model
The critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial parameters of the model. Within a unified approach, both Gibbs and He...
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| Дата: | 2011 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2011
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/121539 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model / M.P. Kozlovskii, R.V. Romanik // Condensed Matter Physics. — 2011. — Т. 14, № 4. — С. 43002:1-10. — Бібліогр.: 22 назв. — англ. |
Репозитарії
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irk-123456789-1215392017-06-15T03:03:50Z Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model Kozlovskii, M.P. Romanik, R.V. The critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial parameters of the model. Within a unified approach, both Gibbs and Helmholtz free energies are obtained and the dependencies of them on the external field and the order parameter, respectively, are presented graphically. The regions of stability, metastability, and unstability are established on the order parameter--temperature plane. The way of implementation of the well-known Maxwell construction is proposed at microscopic level. В данiй роботi на мiкроскопiчному рiвнi розгляду вивчається критична поведiнка тривимiрної iзiнго-подiбної системи. Аналiтично обчислюється вiльна енергiя впорядкування як функцiя температури, зовнiшнього поля i початкових параметрiв моделi. В межах запропонованого пiдходу отримано вирази для вiльної енергiї Гiббса i Гельмгольца, їх залежностi вiд поля i параметра порядку приведенi також графiчно. На площинi параметр порядку–температура знайденi областi стабiльностi, метаста- бiльностi та нестабiльностi. Запропоновано спосiб реалiзацiї правила Максвелла на мiкроскопiчному рiвнi. 2011 Article Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model / M.P. Kozlovskii, R.V. Romanik // Condensed Matter Physics. — 2011. — Т. 14, № 4. — С. 43002:1-10. — Бібліогр.: 22 назв. — англ. 1607-324X PACS: 05.50.+q, 05.70.Ce, 64.60.F-, 75.10.Hk DOI:10.5488/CMP.14.43002 arXiv:1202.4569 http://dspace.nbuv.gov.ua/handle/123456789/121539 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 critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial parameters of the model. Within a unified approach, both Gibbs and Helmholtz free energies are obtained and the dependencies of them on the external field and the order parameter, respectively, are presented graphically. The regions of stability, metastability, and unstability are established on the order parameter--temperature plane. The way of implementation of the well-known Maxwell construction is proposed at microscopic level. |
| format |
Article |
| author |
Kozlovskii, M.P. Romanik, R.V. |
| spellingShingle |
Kozlovskii, M.P. Romanik, R.V. Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model Condensed Matter Physics |
| author_facet |
Kozlovskii, M.P. Romanik, R.V. |
| author_sort |
Kozlovskii, M.P. |
| title |
Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model |
| title_short |
Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model |
| title_full |
Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model |
| title_fullStr |
Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model |
| title_full_unstemmed |
Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model |
| title_sort |
gibbs free energy and helmholtz free energy for a three-dimensional ising-like model |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/121539 |
| citation_txt |
Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model / M.P. Kozlovskii, R.V. Romanik // Condensed Matter Physics. — 2011. — Т. 14, № 4. — С. 43002:1-10. — Бібліогр.: 22 назв. — англ. |
| series |
Condensed Matter Physics |
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AT kozlovskiimp gibbsfreeenergyandhelmholtzfreeenergyforathreedimensionalisinglikemodel AT romanikrv gibbsfreeenergyandhelmholtzfreeenergyforathreedimensionalisinglikemodel |
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2023-10-18T20:39:48Z |
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2023-10-18T20:39:48Z |
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