Numerical Simulation of Relaxation of Quantum Thermal Fluctuations

  • O. N. Golubjeva People’s Friendship University of Russia
  • S. V. Sidorov People’s Friendship University of Russia
  • V. G. Bar’yakhtar Institute of Magnetism, Nat. Acad. of Sci. of Ukraine
Keywords: (h, k)-dynamics, quantum thermostat, cold and warm vacua, effective action, self-diffusion, diffusion pressure energy density, drift and diffusion velocities, numerical analysis


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.


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How to Cite
Golubjeva, O., Sidorov, S., & Bar’yakhtar, V. (2019). Numerical Simulation of Relaxation of Quantum Thermal Fluctuations. Ukrainian Journal of Physics, 60(10), 1062.
General problems of theoretical physics

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