2014/04/11 by O. N. Golubjeva, Golubjeva, O. N., S.V. Sidorov +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Optical properties and cooling technologies in crystalline materials #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1404.3071
openalex publication_date 2014/04/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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 equations of the Nelson stochastic mechanics. The numerical analysis of the behavior of solutions of this system allows concluding that this system can be used to describe the process of quantum-thermal fluctuation relaxation.