Amplitude of Waves in the Kelvin-wave Cascade

V. B. Eltsov; V. S. L'vov

doi:10.1134/S0021364020070012

Amplitude of Waves in the Kelvin-wave Cascade

V. B. Eltsov^*, V. S. L'vov

^*Corresponding author for this work

Department of Chemical and Biological Physics

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

8 Citations (Scopus)

Abstract

Development of experimental techniques to study superfluid dynamics, in particular, application of nanomechanical oscillators to drive vortex lines, enables potential observation of the Kelvin-wave cascade on quantized vortices. One of the first questions which then arises in analysis of the experimental results is the relation between the energy flux in the cascade and the amplitude of the Kelvin waves. We provide such relation based on the L'vov-Nazarenko picture of the cascade. Remarkably, the amplitude of the waves depends on the energy flux extermely weakly, as power one tenth.

Original language	English
Pages (from-to)	389-391
Number of pages	3
Journal	JETP Letters
Volume	111
Issue number	7
DOIs	https://doi.org/10.1134/S0021364020070012
Publication status	Published - 30 Mar 2020

Bibliographical note

The work has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement # 694248).

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1134/S0021364020070012

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title = "Amplitude of Waves in the Kelvin-wave Cascade",

abstract = "Development of experimental techniques to study superfluid dynamics, in particular, application of nanomechanical oscillators to drive vortex lines, enables potential observation of the Kelvin-wave cascade on quantized vortices. One of the first questions which then arises in analysis of the experimental results is the relation between the energy flux in the cascade and the amplitude of the Kelvin waves. We provide such relation based on the L'vov-Nazarenko picture of the cascade. Remarkably, the amplitude of the waves depends on the energy flux extermely weakly, as power one tenth.",

author = "Eltsov, {V. B.} and L'vov, {V. S.}",

note = "The work has been supported by the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Grant Agreement # 694248).",

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day = "30",

doi = "10.1134/S0021364020070012",

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T1 - Amplitude of Waves in the Kelvin-wave Cascade

AU - Eltsov, V. B.

AU - L'vov, V. S.

N1 - The work has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement # 694248).

PY - 2020/3/30

Y1 - 2020/3/30

N2 - Development of experimental techniques to study superfluid dynamics, in particular, application of nanomechanical oscillators to drive vortex lines, enables potential observation of the Kelvin-wave cascade on quantized vortices. One of the first questions which then arises in analysis of the experimental results is the relation between the energy flux in the cascade and the amplitude of the Kelvin waves. We provide such relation based on the L'vov-Nazarenko picture of the cascade. Remarkably, the amplitude of the waves depends on the energy flux extermely weakly, as power one tenth.

AB - Development of experimental techniques to study superfluid dynamics, in particular, application of nanomechanical oscillators to drive vortex lines, enables potential observation of the Kelvin-wave cascade on quantized vortices. One of the first questions which then arises in analysis of the experimental results is the relation between the energy flux in the cascade and the amplitude of the Kelvin waves. We provide such relation based on the L'vov-Nazarenko picture of the cascade. Remarkably, the amplitude of the waves depends on the energy flux extermely weakly, as power one tenth.

U2 - 10.1134/S0021364020070012

DO - 10.1134/S0021364020070012

M3 - Article

SN - 0021-3640

VL - 111

SP - 389

EP - 391

JO - JETP Letters

JF - JETP Letters

IS - 7

ER -

Amplitude of Waves in the Kelvin-wave Cascade

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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