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Stochastic motion of vortex filaments in He II under random force. / Nemirovskii, S. K.
в: Low Temperature Physics, Том 44, № 10, 01.10.2018, стр. 994-1000.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Stochastic motion of vortex filaments in He II under random force
AU - Nemirovskii, S. K.
N1 - Publisher Copyright: © 2018 Author(s).
PY - 2018/10/1
Y1 - 2018/10/1
N2 - Langevin dynamics are applied to describe the stochastic motion of vortex filaments in He II under random force. The article describes a functional formalism, which is a modification of the method developed earlier by Migdal to deal with the stochastic dynamics of classical vortex filaments. In particular, starting with the Langevin-type equation, the functional Fokker-Planck equation for the characteristic functional was obtained. Based on this equation, and under the assumption that the random force correlator satisfies the fluctuation-dissipation theorem, thermodynamic equilibrium in a system of chaotic quantized vortices was investigated. Additionally, the case of stationary helium and the case of counterflow with the constant relative velocity of the normal and superfluid components were considered. Some physical consequences of the results obtained are also discussed.
AB - Langevin dynamics are applied to describe the stochastic motion of vortex filaments in He II under random force. The article describes a functional formalism, which is a modification of the method developed earlier by Migdal to deal with the stochastic dynamics of classical vortex filaments. In particular, starting with the Langevin-type equation, the functional Fokker-Planck equation for the characteristic functional was obtained. Based on this equation, and under the assumption that the random force correlator satisfies the fluctuation-dissipation theorem, thermodynamic equilibrium in a system of chaotic quantized vortices was investigated. Additionally, the case of stationary helium and the case of counterflow with the constant relative velocity of the normal and superfluid components were considered. Some physical consequences of the results obtained are also discussed.
KW - QUANTUM TURBULENCE
KW - SUPERFLUID TURBULENCE
KW - STATISTICAL-MECHANICS
KW - EQUILIBRIUM
KW - VORTICES
KW - SPECTRUM
KW - ENERGY
KW - FIELD
UR - http://www.scopus.com/inward/record.url?scp=85056287797&partnerID=8YFLogxK
U2 - 10.1063/1.5055835
DO - 10.1063/1.5055835
M3 - Article
AN - SCOPUS:85056287797
VL - 44
SP - 994
EP - 1000
JO - Low Temperature Physics
JF - Low Temperature Physics
SN - 1063-777X
IS - 10
ER -
ID: 17410546