Numerical simulation of relaxation of quantum thermal fluctuations

A generalization of quantum-mechanical equations expressed in the hydrodynamic form by introducing terms that involve the diffusion velocity at zero and finite temperatures, as well as the diffusion pressure energy in a warm vacuum, into the Lagrangian density has been proposed. It is used as a basis for constructing a system of equations similar to the Euler equations, but making allowance for quantum-mechanical and thermal effects, for the model of one-dimensional hydrodynamics. The equations obtained generalize the equations of the Nelson stochastic mechanics. A numerical analysis of the solutions of this system allowed a conclusion to be drawn about its validity for the description of the relaxation of quantum thermal fluctuations. © O.N. GOLUBJEVA, S.V. SIDOROV, V.G. BAR’YAKHTAR, 2015.

Авторы
Golubjeva O.N. 1 , Sidorov S.V. 1 , Bar’Yakhtar V.G.2
Издательство
National Academy of Sciences of Ukraine
Номер выпуска
10
Язык
Английский
Страницы
1062-1074
Статус
Опубликовано
Том
60
Год
2015
Организации
  • 1 People’s Friendship University of Russia, Moscow, 117198, Russian Federation
  • 2 Institute Of Magnetism, Nat. Acad. Of Sci. Of Ukraine, 36 Academician Vernadsky Blvd, Kyiv, 03142, Ukraine
Ключевые слова
(ℏ,k)-dynamics; Cold and warm vacua; Diffusion pressure energy density; Drift and diffusion velocities; Effective action; Numerical analysis; Quantum thermostat; Self-diffusion
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4730/