Generalization of the Bogoliubov-Zubarev Theorem for Dynamic Pressure to the Case of Compressibility

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. © 2018, Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
1
Язык
Английский
Страницы
114-126
Статус
Опубликовано
Подразделение
-
Номер
-
Том
194
Год
2018
Организации
  • 1 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
canonical scale transformation; compressibility; Hamiltonian function; homogeneous potential; pressure; quasiaverage
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6978/