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Testing wave turbulence theory for the Gross-Pitaevskii system Научная публикация

Журнал

Physical Review E
ISSN: 2470-0045 , E-ISSN: 2470-0053

Вых. Данные

Год: 2022, Том: 106, Номер: 1, Номер статьи : 014205, Страниц : DOI: 10.1103/PhysRevE.106.014205

Авторы

Zhu Y. ¹ , Semisalov B. ^2,3,4 , Krstulovic G. ² , Nazarenko S. ¹

Организации

1	Université Côte d'Azur, Cnrs, Institut de Physique de Nice (INPHYNI), Parc Valrose, Nice, 06108, France
2	Université Côte d'Azur, Observatoire de la Côte d'Azur, Cnrs, Laboratoire Lagrange, Boulevard de l'Observatoire CS 34229, Nice Cedex 4, F 06304, France
3	Novosibirsk State University, 1 Pirogova street, Novosibirsk, 630090, Russian Federation
4	Sobolev Institute of Mathematics Sb Ras, 4 Academician Koptyug Avenue, Novosibirsk, 630090, Russian Federation

We test the predictions of the theory of weak wave turbulence by performing numerical simulations of the Gross-Pitaevskii equation (GPE) and the associated wave-kinetic equation (WKE). We consider an initial state localized in Fourier space, and we confront the solutions of the WKE obtained numerically with GPE data for both the wave-action spectrum and the probability density functions (PDFs) of the Fourier mode intensities. We find that the temporal evolution of the GPE data is accurately predicted by the WKE, with no adjustable parameters, for about two nonlinear kinetic times. Qualitative agreement between the GPE and the WKE persists also for longer times with some quantitative deviations that may be attributed to the combination of a breakdown of the theoretical assumptions underlying the WKE as well as numerical issues. Furthermore, we study how the wave statistics evolves toward Gaussianity in a timescale of the order of the kinetic time. The excellent agreement between direct numerical simulations of the GPE and the WKE provides a solid foundation to the theory of weak wave turbulence.

Zhu Y. , Semisalov B. , Krstulovic G. , Nazarenko S.
Testing wave turbulence theory for the Gross-Pitaevskii system
Physical Review E. 2022. V.106. N1. 014205 . DOI: 10.1103/PhysRevE.106.014205 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	14 дек. 2021 г.
Принята к публикации:	4 мая 2022 г.
Опубликована online:	8 июл. 2022 г.

Web of science:	WOS:000829952500006
Scopus:	2-s2.0-85134893925
РИНЦ:	55737590
OpenAlex:	W3216945718

БД	Цитирований
Scopus	18
Web of science	18
OpenAlex	22