Abstract
This lecture is devoted to chaotic vortex filaments in superfluid turbulent He II. The interest in this system extends beyond the theory of superfluidity to include the field of statistical physics of extended objects. In spite of the large amount of works devoted to this topic there is practically no advanced theory of this phenomenon. Formally, this is due to the extreme complexity of the vortex line dynamics. At the same time there are several approaches such as the phenomenological theory of superfluid turbulence, direct numerical simulations of the vortex line dynamics and Gaussian model of the vortex tangle giving some notions of the vortex tangle structure and allowing to describe a number of physical phenomena. These approaches as well as their numerous applications are reviewed in the lecture.
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Nemirovskii, S.K. (1999). Chaotic Vortices in He II as an Example of Highly Disordered State of One Dimensional Singularities. In: Shopova, D.V., Uzunov, D.I. (eds) Correlations, Coherence, and Order. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4727-3_5
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DOI: https://doi.org/10.1007/978-1-4615-4727-3_5
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