TY - JOUR AU - Golubjeva, O. N. AU - Sidorov, S. V. AU - Bar’yakhtar, V. G. PY - 2019/01/10 Y2 - 2024/03/29 TI - Numerical Simulation of Relaxation of Quantum Thermal Fluctuations JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 60 IS - 10 SE - General problems of theoretical physics DO - 10.15407/ujpe60.10.1062 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019165 SP - 1062 AB - <p>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.</p> ER -