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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Datum:2005
Hauptverfasser: Rudoy, Yu.G., Sukhanov, A.D.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут фізики конденсованих систем НАН України 2005
Schriftenreihe:Condensed Matter Physics
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/119748
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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.