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 gra...
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| Published in: | Condensed Matter Physics |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156531 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747532801605632 |
|---|---|
| author | Humenyuk, Y.A. |
| author_facet | Humenyuk, Y.A. |
| 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. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| 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.
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.
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| first_indexed | 2025-12-07T20:51:05Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-156531 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-07T20:51:05Z |
| publishDate | 2016 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Humenyuk, Y.A. 2019-06-18T16:04:17Z 2019-06-18T16:04:17Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/156531 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. The author is grateful to Dr. T.M. Verkholyak for useful comments and for reporting the work on the
 exact solution for the equilibrium one-dimensional hard disks.
 This research has made use of NASA’s Astrophysics Data System. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state Тиск i ентропiя твердих кульок у слабонерiвноважному теплопровiдному стацiонарному станi Article published earlier |
| spellingShingle | Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state Humenyuk, Y.A. |
| title | Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state |
| title_alt | Тиск i ентропiя твердих кульок у слабонерiвноважному теплопровiдному стацiонарному станi |
| 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156531 |
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