Condensed Matter Physics, 2005, vol. 8, No. 3(43), p. 507-536, English

Title: Towards the unified non-classical physics: account for quantum fluctuations in equilibrium thermodynamics via the effective temperature
  Yu.G.Rudoy (People's Friendship University,117198, 6 Mikluho-Maklaya Str., Moscow, Russia) ,
  A.D.Sukhanov (People's Friendship University,117198, 6 Mikluho-Maklaya Str., Moscow, Russia)

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.

Key words: equilibrium thermodynamics, effective temperature, quantum fluctuations
PACS: 05.70.-a, 05.30.-d, 05.40.-a

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