Self-similar evolution of wave turbulence in Gross-Pitaevskii system

Self-similar evolution of wave turbulence in Gross-Pitaevskii system Full article

Journal

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

Output data

Year: 2023, Volume: 108, Number: 6, Article number : 064207, Pages count : 13 DOI: 10.1103/physreve.108.064207

Authors

Zhu Ying ¹ , Semisalov Boris ^2,3,4 , Krstulovic Giorgio ⁴ , Nazarenko Sergey ¹

Affiliations

1	Université Côte d'Azur, CNRS, Institut de Physique de Nice (INPHYNI), 17 rue Julien Lauprêtre 06200 Nice, France
2	Federal Research Center for Information and Computational Technologies, 6 Academician Lavrentyev Avenue, 630090 Novosibirsk, Russia
3	Sobolev Institute of Mathematics SB RAS, 4 Academician Koptyug Avenue, 630090 Novosibirsk, Russia
4	Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Laboratoire Lagrange, Boulevard de l'Observatoire CS 34229–F 06304 Nice Cedex 4, France

Funding (1)

Russian Science Foundation

22-11-00287

We study the universal nonstationary evolution of wave turbulence (WT) in Bose-Einstein condensates (BECs). Their temporal evolution can exhibit different kinds of self-similar behavior corresponding to a large-time asymptotic of the system or to a finite-time blowup. We identify self-similar regimes in BECs by numerically simulating the forced and unforced Gross-Pitaevskii equation (GPE) and the associated wave kinetic equation (WKE) for the direct and inverse cascades, respectively. In both the GPE and the WKE simulations for the direct cascade, we observe the first-kind self-similarity that is fully determined by energy conservation. For the inverse cascade evolution, we verify the existence of a self-similar evolution of the second kind describing self-accelerating dynamics of the spectrum leading to blowup at the zero mode (condensate) at a finite time. We believe that the universal self-similar spectra found in the present paper are as important and relevant for understanding the BEC turbulence in past and future experiments as the commonly studied stationary Kolmogorov-Zakharov (KZ) spectra.

Zhu Y. , Semisalov B. , Krstulovic G. , Nazarenko S.
Self-similar evolution of wave turbulence in Gross-Pitaevskii system
Physical Review E. 2023. V.108. N6. 064207 :1-13. DOI: 10.1103/physreve.108.064207 WOS Scopus РИНЦ OpenAlex

Submitted:	Jun 12, 2023
Accepted:	Nov 22, 2023
Published print:	Dec 18, 2023
Published online:	Dec 18, 2023

Web of science:	WOS:001133506500012
Scopus:	2-s2.0-85177787513
Elibrary:	64745457
OpenAlex:	W4389923942

DB	Citing
OpenAlex	7
Web of science	6
Scopus	6