Stochastic motion of vortex filaments in He II under random force

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Stochastic motion of vortex filaments in He II under random force. / Nemirovskii, S. K.

In: Low Temperature Physics, Vol. 44, No. 10, 01.10.2018, p. 994-1000.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{a892a857cd314595a9aa2fb413e1551d,

title = "Stochastic motion of vortex filaments in He II under random force",

abstract = "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.",

keywords = "QUANTUM TURBULENCE, SUPERFLUID TURBULENCE, STATISTICAL-MECHANICS, EQUILIBRIUM, VORTICES, SPECTRUM, ENERGY, FIELD",

author = "Nemirovskii, {S. K.}",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).",

year = "2018",

month = oct,

day = "1",

doi = "10.1063/1.5055835",

language = "English",

volume = "44",

pages = "994--1000",

journal = "Low Temperature Physics",

issn = "1063-777X",

publisher = "American Institute of Physics",

number = "10",

}

RIS

TY - JOUR

T1 - Stochastic motion of vortex filaments in He II under random force

AU - Nemirovskii, S. K.

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