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

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  • Talalov, S.V.

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.

Suggested Citation

  • Talalov, S.V., 2025. "The study of the energy spectrum of a system of quantum micro-vortices in a bounded spatial domain," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925004072
    DOI: 10.1016/j.chaos.2025.116394
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