论文标题
迈向量子湍流理论：一个与涡流环相互作用的简单模型
Towards quantum turbulence theory: A simple model with interaction of the vortex loops
论文作者
论文摘要
本文研究了具有内部结构的量化薄涡流环。该动力系统的量化方案基于作者提出的早期方法。计算能量光谱和循环光谱。示例表明，允许的循环值集具有分形结构。建议的模型使我们能够描述隔离涡旋环的系统以及与相互作用的涡流环。此外，讨论了量子湍流理论的应用。提出了湍流的分区函数的一般表达。
This paper investigates quantized thin vortex rings with an internal structure. The quantization scheme of this dynamical system is based on an earlier the approach proposed by the author. Both energy spectrum and circulation spectrum are calculated. Examples show that the set of permissible circulation values has a fractal structure. The suggested model allows us to describe the system of isolated vortex rings as well as the vortex rings with interaction. Furthermore, the application to the quantum turbulence theory is discussed. The general expression for the partition function of a turbulent flow is suggested.
