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Particles 2019, 2(1), 150-165; https://doi.org/10.3390/particles2010011

Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas

Institute for Physical Research and Technologies, RUDN University, Miklukho-Maklay Str. 6, Moscow 117198, Russia
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Received: 18 January 2019 / Revised: 10 March 2019 / Accepted: 17 March 2019 / Published: 21 March 2019
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
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Abstract

The problem of pressure fluctuations in the thermal equilibrium state of some objects is discussed, its solution being suggested via generalizing the Bogoliubov–Zubarev theorem. This theorem relates the thermodynamic pressure with the Hamilton function and its derivatives describing the object in question. It is shown that unlike to other thermodynamic quantities (e.g., the energy or the volume) the pressure fluctuations are described not only by a purely thermodynamic quantity (namely, the corresponding thermodynamic susceptibility) but also by some non-thermodynamic quantities. The attempt is made to apply these results to the relativistic ideal gases, with some numerical results being valid for the limiting ultra-relativistic or high-temperature case. View Full-Text
Keywords: Gibbs equilibrium statistical mechanics; Bogoliubov’s quasi-averages; pressure fluctuations; relativistic ideal gas Gibbs equilibrium statistical mechanics; Bogoliubov’s quasi-averages; pressure fluctuations; relativistic ideal gas
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Rudoy, Y.G.; Rybakov, Y.P. Generalizing Bogoliubov–Zubarev Theorem to Account for Pressure Fluctuations: Application to Relativistic Gas. Particles 2019, 2, 150-165.

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