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This article is cited in 1 scientific paper (total in 1 paper)
Generalization of the Bogoliubov–Zubarev theorem for dynamic
pressure to the case of compressibility
Yu. G. Rudoi Peoples Friendship University of Russia, Moscow, Russia
Abstract:
We present the motivation, formulation, and modified proof of the Bogoliubov–Zubarev theorem connecting the pressure of a dynamical object with its energy within the framework of a classical description and obtain a generalization of this theorem to the case of dynamical compressibility. In both cases, we introduce the volume of the object into consideration using a singular addition to the Hamiltonian function of the physical object, which allows using the concept of the Bogoliubov quasiaverage explicitly already on a dynamical level of description. We also discuss the relation to the same result known as the Hellmann–Feynman theorem in the framework of the quantum description of a physical object.
Keywords:
pressure, compressibility, Hamiltonian function, canonical scale transformation, quasiaverage, homogeneous potential.
Received: 26.04.2017
Citation:
Yu. G. Rudoi, “Generalization of the Bogoliubov–Zubarev theorem for dynamic
pressure to the case of compressibility”, TMF, 194:1 (2018), 137–150; Theoret. and Math. Phys., 194:1 (2018), 114–126
Linking options:
https://www.mathnet.ru/eng/tmf9391https://doi.org/10.4213/tmf9391 https://www.mathnet.ru/eng/tmf/v194/i1/p137
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Abstract page: | 295 | Full-text PDF : | 101 | References: | 38 | First page: | 7 |
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