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This article is cited in 6 scientific papers (total in 6 papers)
Toward a quantum generalization of equilibrium statistical thermodynamics: $\hbar$–$k$ Dynamics
A. D. Sukhanova, O. N. Golubevab a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Peoples' Friendship University of Russia, Moscow, Russia
Abstract:
We show that the quantum statistical mechanics (QSM) describing the quantum and thermal properties of objects only has the sense of a particular semiclassical approximation. We propose a more general microdescription than in QSM of objects in a thermal bath with the vacuum explicitly taken into account; we call it $\hbar$–$k$ dynamics. We construct a qualitatively new model of the object environment, namely,
a quantum thermal bath. We study its properties including the cases of a "cold" and a "thermal" vacuum. We introduce the stochastic action operator and show its fundamental role in the microdescription. We establish that the corresponding macroparameter, the effective action, plays just as significant a role in the macrodescription. The most important effective macroparameters of equilibrium quantum statistical thermodynamics—internal energy, temperature, and entropy—are expressed in terms of this macroparameter.
Keywords:
$\hbar$–$k$ dynamics, quantum thermal bath, cold vacuum, thermal vacuum, stochastic action operator, effective action, quantum-thermal entropy.
Received: 08.05.2009
Citation:
A. D. Sukhanov, O. N. Golubeva, “Toward a quantum generalization of equilibrium statistical thermodynamics: $\hbar$–$k$ Dynamics”, TMF, 160:2 (2009), 370–384; Theoret. and Math. Phys., 160:2 (2009), 1177–1189
Linking options:
https://www.mathnet.ru/eng/tmf6404https://doi.org/10.4213/tmf6404 https://www.mathnet.ru/eng/tmf/v160/i2/p370
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Abstract page: | 780 | Full-text PDF : | 258 | References: | 73 | First page: | 17 |
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