Численное моделирование процесса релаксацииквантово-тепловыхфлуктуаций

• Дата: 2019
• Автори: Golubjeva, O. N., Sidorov, S. V., Bar’yakhtar, V. G.
• Формат: Стаття
• Мова: English; Ukrainian
• Опубліковано: Publishing house "Academperiodika" 2019
• Теми: (h, k)-динамика; кванто-термостат; холодный и теплый вакуумы; эффективное воздействие; самодиффузия; плотность энергии диффузионного давления; дрейфовая и диффузионная скорости; численный анализ; (h, k)-dynamics; quantum thermostat; cold and warm vacua; effective action; self-diffusion; diffusion pressure energy density; drift and diffusion velocities; numerical analysis; -
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019165
• Назва журналу: Ukrainian Journal of Physics

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.