Ukrainian Journal of Physics

Numerical Simulation of Relaxation of Quantum Thermal Fluctuations

O. N. Golubjeva, S.V. Sidorov, V. G. Bar’yakhtar

Published Oct 1, 2015• 0 citations

Abstract

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.

DOI: 10.15407/ujpe60.10.1062

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