0372-400Х (Edition in Ukrainian)
2071-0186 (Edition in English)
2071-0194 (in electronic form)
Abbreviated key title: Ukr. J. Phys.
Golubjeva O.N.1, Sidorov S.V.1, Bar'yakhtar V.G.2
1 People’s Friendship University of Russia
(Moscow 117198, Russia; e-mail: firstname.lastname@example.org)
2 Institute of Magnetism, Nat. Acad. of Sci. of Ukraine
(36, Academician Vernadsky Blvd., Kyiv 03142, Ukraine; e-mail: email@example.com)
Numerical Simulation of Relaxation of Quantum Thermal Fluctuations
Section: General Problems of Theoretical Physics
Original Author's Text: Ukrainian
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.
Key words: (ћ, k)-dynamics, quantum thermostat, cold and warm vacua, effective action, self-diffusion, diffusion pressure energy density, drift and diffusion velocities, numerical analysis.