Quantum-Thermal Fluctuations of Effective Macroparameters and Their Correlations

Authors

  • A.D. Sukhanov Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research
  • O.N. Golubjeva Peoples' Friendship University of Russia
  • V.G. Baryakhtar Institute of Magnetism, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe56.10.1120

Keywords:

-

Abstract

The application of the conventional theory of macroparameter fluctuations has been shown to go beyond the framework of the thermodynamic description in a number of cases. The principles of the theory of quantum-thermal fluctuations of effective
macroparameters and their correlations have been formulated. The theory satisfies the applicability conditions of equilibrium
thermodynamics and is based on effective macroparameters, which take the integral stochastic action of the environment into account at any temperatures. The correlator of conjugate macroparameters, namely, the effective entropy and the effective temperature, has been calculated. The correlator was found to be proportional to the effective action which characterizes the stochastic environment. The pair correlators for the conjugate effective parameters "entropy–temperature" and "coordinate–momentum" have been demonstrated to depend linearly on the effective action, with their minimum values being determined by Planck's constant.

References

A. Einstein, in Collection of Scientific Works, edited by Ya.A. Smorodinskii (Nauka, Moscow, 1966), v. 3, p. 67 (in Russian).

L.D. Landau and E.M. Lifshitz, Statistical Physics, Part 1 (Pergamon Press, Oxford, 1980).

https://doi.org/10.1016/B978-0-08-057046-4.50008-7

A.I. Anselm, Fundamentals of Statistical Physics and Thermodynamics (Nauka, Moscow, 1973) (in Russian).

A.D. Sukhanov, Phys. Particles, Nuclei 36, 1281 (2005).

A.D. Sukhanov and Yu.G. Rudoi, Phys.-Usp. 176, 551 (2006).

https://doi.org/10.3367/UFNr.0176.200605g.0551

N.N. Bogoliubov, in Collection of Scientific Works, Vol. 6, edited by A.D. Sukhanov (Nauka, Moscow, 2006), p. 236 (in Russian).

A. Einstein, in Collection of Scientific Works, edited by Ya.A. Smorodinskii (Nauka, Moscow, 1966), v. 3, p. 145 (in Russian).

A.D. Sukhanov, JTMP 148, 1123 (2006).

https://doi.org/10.1007/s11232-006-0106-5

A.D. Sukhanov, JTMP 154, 153 (2008).

https://doi.org/10.1007/s11232-008-0013-z

A.D. Sukhanov and O.N. Golubeva, JTMP 160, 369 (2009).

https://doi.org/10.1007/s11232-009-0109-0

A.D. Sukhanov and O.N. Golubeva, in Thermodynamics, edited by. T. Mizutani (InTech, Vienna, 2011), Ch. 4.

J.W. Gibbs, Elementary Principles of Statistical Mechanics (Dover, N.-Y., 1960). Ch. 9.

A. Sommerfeld, Thermodynamics and Statistical Mechanics (Academic Press, New York, 1956).

https://doi.org/10.1063/1.3060071

N.N. Bogoliubov, in Collection of Scientific Works, Vol. 6, edited by A.D. Sukhanov (Nauka, Moscow, 2006), p. 432 (in Russian).

A.D. Sukhanov, JTMP 132, 1276 (2002). https://doi.org/10.1023/A:1020224205443

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Published

2022-02-06

How to Cite

Sukhanov, A., Golubjeva, O., & Baryakhtar, V. (2022). Quantum-Thermal Fluctuations of Effective Macroparameters and Their Correlations. Ukrainian Journal of Physics, 56(10), 1120. https://doi.org/10.15407/ujpe56.10.1120

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Section

General problems of theoretical physics

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