Stochastic dynamics of quantized vortices. Continuum and discrete approaches
Institute of Thermophysics, 1 Lavrentyev A ve, Novosibirsk 630090, Russia
Received December 5, 2019, published online March 24, 2020
Thermodynamic equilibrium in a system of chaotic quantized vortices in superfluid helium in the case of a counterflow of normal and superfluid components is considered. The cases of continuumand discrete approaches are studied. The necessity for discretization arises already in the continuum approximation in order to calculate the contribution into the partition function arising from various configurations of vortex loops. Obviously, the disc retization is a very important element for numerical studies. In view of the complexity of the problem of stochastic dynamics of quantum vortex filaments under the action of random force, numerical simulation is the main tool to solve this problem. Some physical consequences of the results are discussed.
Key words: quantum vortices, stochastic dynamics, discrete approach.