Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature
The concept of effective temperature (ET) T*(T₀, T ) is used in order to approximately “quantize” the thermodynamic functions of the dynamical object which is in the thermal equilibrium with thermal bath being at constant temperature T (T₀ = E₀/kB, where E₀ is the ground-state energy, kB – Boltz...
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| Дата: | 2005 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2005
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119748 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature / Yu.G. Rudoy, A.D. Sukhanov // Condensed Matter Physics. — 2005. — Т. 8, № 3(43). — С. 507–535. — Бібліогр.: 31 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1197482017-06-09T03:03:52Z Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature Rudoy, Yu.G. Sukhanov, A.D. The concept of effective temperature (ET) T*(T₀, T ) is used in order to approximately “quantize” the thermodynamic functions of the dynamical object which is in the thermal equilibrium with thermal bath being at constant temperature T (T₀ = E₀/kB, where E₀ is the ground-state energy, kB – Boltzmann constant, is the characteristic “quantum” temperature of the system itself). On these grounds the extensive comparative investigation is carried out for the “standard model” of statistical mechanics – the one-dimensional harmonic oscillator (HO). Three well-known approaches are considered and their thermodynamic consequences thoroughly studied. These are: the exact quantum, or non-classical Planck-Einstein approach, intermediate, or semiclassical Bloch-Wigner approach and, finally, the pure classical, or Maxwell-Boltzmann approach. Концепція ефективної температури (ET) T*(T₀, T) використовується для того, щоб наближено “квантувати” термодинамічні функції динамічного об’єкту, який є в термічній рівновазі з термостатом при постійній температурі T (T₀ = E₀/kB, де E₀ – енергія основного стану, kB – постійна Больцмана, – є характеристичною “квантовою” температурою самої системи). Базуючись на цьому, здійснено екстенсивне порівняння дослідження “стандартної моделі” статистичної механіки – одновимірного гармонійного осцилятора (ГО). Розглянуто три добре відомі підходи та добре вивчено їх термодинамічні наслідки, а саме: точний квантовий або некласичний підхід ПланкаЕйнштейна, проміжний або напівкласичний підхід Блоха-Вігнера і, нарешті, чисто класичний або підхід Максвелла-Больцмана. 2005 Article Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature / Yu.G. Rudoy, A.D. Sukhanov // Condensed Matter Physics. — 2005. — Т. 8, № 3(43). — С. 507–535. — Бібліогр.: 31 назв. — англ. 1607-324X PACS: 05.70.-a, 05.30.-d, 05.40.-a DOI:10.5488/CMP.8.3.507 http://dspace.nbuv.gov.ua/handle/123456789/119748 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 concept of effective temperature (ET) T*(T₀, T ) is used in order to
approximately “quantize” the thermodynamic functions of the dynamical
object which is in the thermal equilibrium with thermal bath being at constant
temperature T (T₀ = E₀/kB, where E₀ is the ground-state energy,
kB – Boltzmann constant, is the characteristic “quantum” temperature of
the system itself). On these grounds the extensive comparative investigation
is carried out for the “standard model” of statistical mechanics – the
one-dimensional harmonic oscillator (HO). Three well-known approaches
are considered and their thermodynamic consequences thoroughly studied.
These are: the exact quantum, or non-classical Planck-Einstein approach,
intermediate, or semiclassical Bloch-Wigner approach and, finally,
the pure classical, or Maxwell-Boltzmann approach. |
| format |
Article |
| author |
Rudoy, Yu.G. Sukhanov, A.D. |
| spellingShingle |
Rudoy, Yu.G. Sukhanov, A.D. Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature Condensed Matter Physics |
| author_facet |
Rudoy, Yu.G. Sukhanov, A.D. |
| author_sort |
Rudoy, Yu.G. |
| title |
Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature |
| title_short |
Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature |
| title_full |
Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature |
| title_fullStr |
Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature |
| title_full_unstemmed |
Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature |
| title_sort |
towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119748 |
| citation_txt |
Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature / Yu.G. Rudoy, A.D. Sukhanov // Condensed Matter Physics. — 2005. — Т. 8, № 3(43). — С. 507–535. — Бібліогр.: 31 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-10-18T20:35:20Z |
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