TY - JOUR

T1 - Kinetic of the development of a quantum vortex tangle in superfluids under the influence of thermal activation

AU - Nemirovskii, Sergey

N1 - The study was financially supported by the Russian Science Foundation (Grant No. 23-22-00128).

PY - 2024/11/1

Y1 - 2024/11/1

N2 - The study explores the development of a thermally equilibrated quantum vortex tangle in superfluid liquids under the influence of thermal activation. This problem is of interest to both applied and fundamental research and has been investigated by many authors in various aspects. Despite the important and impressive results obtained, a significant part of the process, namely, the kinetics of processes leading to equilibrium state, remained unexplored. In this article, we conduct a study of kinetic phenomena and focus our attention on the evolution of the vortex line density (VLD) L ( t ) , the total length of the filament per unit volume. The initial development of VLD is due to random thermal fluctuations. The increase in the vortex line length L ( t ) can be obtained based on the famous Novikov-Furutsu theorem, which shows that the growth rate of L ( t ) is proportional to a random force correlator. As the length of the vortex filaments increases, the interaction between the vortices becomes significant and affects the dynamics process. At this point, we turn to the phenomenological Feynman-Vinen theory, which offers various models for the evolution of the quantity L ( t ) . Next, we examine the evolution of a vortex tangle as a combination of growth due to random thermal excitations and decay in the Feynman-Vinen theory. Several applications leading to significant and remarkable results are considered.

AB - The study explores the development of a thermally equilibrated quantum vortex tangle in superfluid liquids under the influence of thermal activation. This problem is of interest to both applied and fundamental research and has been investigated by many authors in various aspects. Despite the important and impressive results obtained, a significant part of the process, namely, the kinetics of processes leading to equilibrium state, remained unexplored. In this article, we conduct a study of kinetic phenomena and focus our attention on the evolution of the vortex line density (VLD) L ( t ) , the total length of the filament per unit volume. The initial development of VLD is due to random thermal fluctuations. The increase in the vortex line length L ( t ) can be obtained based on the famous Novikov-Furutsu theorem, which shows that the growth rate of L ( t ) is proportional to a random force correlator. As the length of the vortex filaments increases, the interaction between the vortices becomes significant and affects the dynamics process. At this point, we turn to the phenomenological Feynman-Vinen theory, which offers various models for the evolution of the quantity L ( t ) . Next, we examine the evolution of a vortex tangle as a combination of growth due to random thermal excitations and decay in the Feynman-Vinen theory. Several applications leading to significant and remarkable results are considered.

UR - https://www.mendeley.com/catalogue/2df683fa-8cbf-306e-9592-808daf16cc6f/

U2 - 10.1063/5.0236518

DO - 10.1063/5.0236518

M3 - Article

VL - 36

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 11

M1 - 117156

ER -