Quantum-thermal self-diffusion as a hydrodynamic mechanism for the fluctuations relaxation

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure energy of the warm vacuum. Based on this, for the model of one-dimensional hydrodynamics, we construct a system of equations that are analogous to the Euler equations, but with the inclusion of quantum and thermal effects. They are a generalization of the equations of the Nelson stochastic mechanics. The numerical analysis of the systems solutions behavior determined that this system can be used to describe the process of quantum-thermal fluctuation relaxation. © 2016 Published by NRC Research Press.

Авторы
Редакторы
-
Издательство
Canadian Science Publishing
Номер выпуска
3
Язык
Английский
Страницы
310-319
Статус
Опубликовано
Подразделение
-
Номер
-
Том
94
Год
2016
Организации
  • 1 Peoples Friendship University of Russia, Moscow, 117198, Russian Federation
Ключевые слова
Density of diffusion pressure energy; Drift and diffusion velocities; Effective influence; Fluctuations; Numerical analysis; Quantum stochastic influence; Self-diffusion; Thermal stochastic influence
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4020/