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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.02615 |
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| _version_ | 1866916823346184192 |
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| author | Talalov, S. V. |
| author_facet | Talalov, S. V. |
| contents | 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 \cite{Tal22_1,Tal24_2}. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The study of the energy spectrum of a system of quantum micro-vortices in a bounded spatial domain Talalov, S. V. Quantum Gases Mathematical Physics Quantum Physics 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 \cite{Tal22_1,Tal24_2}. 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. |
| title | The study of the energy spectrum of a system of quantum micro-vortices in a bounded spatial domain |
| topic | Quantum Gases Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2502.02615 |