The study of the energy spectrum of a system of quantum micro-vortices in a bounded spatial domain

S.V. Talalov

Chaos, Solitons & Fractals, 2025, vol. 196, issue C

Abstract: This study focuses on microscopic-sized quantum vortex filaments that are shaped like a circle. The model we considered examines loops with different radii and a small but non-zero core diameter. These loops are located in a bounded domain D. The quantization scheme of the classical vortices is based on the new approach proposed by the author Talalov (2022, 2024). For these loops, we calculate both the quantized circulation and the energy spectrum, which are perfectly non-trivial. To understand how the results we have obtained can be used to describe the initial stage of turbulence in a quantum fluid, we study a system of K random, non-interacting vortices. We explain how specific energy and circulation spectra lead to the occurrence of turbulence in the context of the developed approach.

Keywords: Quantum vortices; Circulation quantization; Quantum turbulence (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925004072
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925004072

DOI: 10.1016/j.chaos.2025.116394

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().