Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state
Thermodynamic quantities of the hard-sphere system in the steady state with a small heat flux are calculated within the continuous media approach. Analytical expressions for pressure, internal energy, and entropy are found in the approximation of the fourth order in temperature gradients. It is sh...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2016
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156531 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state / Y.A. Humenyuk // Condensed Matter Physics. — 2016. — Т. 19, № 4. — С. 43002: 1–12. — Бібліогр.: 58 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1565312019-06-19T01:26:47Z Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state Humenyuk, Y.A. Thermodynamic quantities of the hard-sphere system in the steady state with a small heat flux are calculated within the continuous media approach. Analytical expressions for pressure, internal energy, and entropy are found in the approximation of the fourth order in temperature gradients. It is shown that the gradient contributions to the internal energy depend on the volume, while the entropy satisfies the second law of thermodynamics for nonequilibrium processes. The calculations are performed for dimensions 3D, 2D, and 1D. В рамках пiдходу суцiльного середовища розраховано термодинамiчнi величини системи твердих кульок у стацiонарному станi з малим тепловим потоком. Аналiтичнi вирази для тиску, внутрiшньої енергiї та ентропiї знайдено в наближеннi четвертого порядку за ґрадiєнтами температури. Показано, що ґрадiєнтнi внески до внутрiшньої енергiї залежать вiд об’єму, а ентропiя задовольняє II-е начало термодинамiки для нерiвноважних процесiв. Розрахунки проведено для вимiрностей 3D, 2D та 1D. 2016 Article Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state / Y.A. Humenyuk // Condensed Matter Physics. — 2016. — Т. 19, № 4. — С. 43002: 1–12. — Бібліогр.: 58 назв. — англ. 1607-324X PACS: 05.70.Ln, 51.30.+i, 44.10.+i DOI:10.5488/CMP.19.43002 arXiv:1612.07166 http://dspace.nbuv.gov.ua/handle/123456789/156531 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 |
Thermodynamic quantities of the hard-sphere system in the steady state with a small heat flux are calculated
within the continuous media approach. Analytical expressions for pressure, internal energy, and entropy are
found in the approximation of the fourth order in temperature gradients. It is shown that the gradient contributions to the internal energy depend on the volume, while the entropy satisfies the second law of thermodynamics for nonequilibrium processes. The calculations are performed for dimensions 3D, 2D, and 1D. |
| format |
Article |
| author |
Humenyuk, Y.A. |
| spellingShingle |
Humenyuk, Y.A. Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state Condensed Matter Physics |
| author_facet |
Humenyuk, Y.A. |
| author_sort |
Humenyuk, Y.A. |
| title |
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| title_short |
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| title_full |
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| title_fullStr |
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| title_full_unstemmed |
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| title_sort |
pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156531 |
| citation_txt |
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state / Y.A. Humenyuk // Condensed Matter Physics. — 2016. — Т. 19, № 4. — С. 43002: 1–12. — Бібліогр.: 58 назв. — англ. |
| series |
Condensed Matter Physics |
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| first_indexed |
2023-05-20T17:49:41Z |
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2023-05-20T17:49:41Z |
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1796154181697929216 |