Radio-frequency discharge in a molecular gas flow at a frequency of 1.76 MHz

Baranov, I. Ya.; Koptev, A. V.

doi:10.1134/s1063780x17070030

Cited by 1 publication

(2 citation statements)

References 4 publications

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“…Equations emerging in the first order by ε from the system of equations (27) and (30) have the following form…”

Section: Bright Soliton In Repulsive Becmentioning

confidence: 99%

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Hydrodynamic model of a Bose–Einstein condensate with anisotropic short-range interaction and bright solitons in a repulsive Bose–Einstein condensate

Andreev

2019

Laser Phys.

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The quantum hydrodynamic model is developed for the axial symmetric anisotropic short-range interaction. The quantum stress tensor presents the interaction. It is derived up to the third order by the interaction radius. The first order by the interaction radius contains the isotropic part only. It leads to the interaction in the Gross-Pitaevskii approximation. Terms existing in the third order by the interaction radius are caused by the isotropic and nonisotropic parts of the interaction. Each of them introduces the interaction constant. Therefore, three interaction constants are involved in the model. Atoms, except the alkali and alkali-earth atoms, can have anisotropic potential of interaction, particularly it is demonstrated for the lanthanides. The short-wavelength instability caused by the nonlocal terms appears in the Bogoliubov spectrum. Conditions for the stable and unstable behaviour are described. Bright solitons in the repulsive BEC are studied under influence of the anisotropic short-range interaction in the BEC of one species. Area of existence of this bright solitons corresponds to the area of the instability of the Bogoliubov spectrum. Approximate reduction of the nonlocal nonlinearity to the quintic nonlinearity at the description of the bright solitons is demonstrated either.

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“…Equations emerging in the first order by ε from the system of equations (27) and (30) have the following form…”

Section: Bright Soliton In Repulsive Becmentioning

confidence: 99%

“…There are two kinds of the nonlocal nonlinearities: the integral nonlinear term, like the dipolar BEC model [25], [26], [27], and the nonintegral nonlinearities containing spatial derivatives of the macroscopic wave function [28], [29], [30].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic model of a Bose–Einstein condensate with anisotropic short-range interaction and bright solitons in a repulsive Bose–Einstein condensate

Andreev

2019

Laser Phys.

View full text Add to dashboard Cite

show abstract

Radio-frequency discharge in a molecular gas flow at a frequency of 1.76 MHz

Cited by 1 publication

References 4 publications

Hydrodynamic model of a Bose–Einstein condensate with anisotropic short-range interaction and bright solitons in a repulsive Bose–Einstein condensate

Hydrodynamic model of a Bose–Einstein condensate with anisotropic short-range interaction and bright solitons in a repulsive Bose–Einstein condensate

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