2025-06-02 核融合科学研究所, 駒澤大学,科学技術振興機構,総合研究大学院大学,理化学研究所
＜関連情報＞
- https://www.nifs.ac.jp/news/research/250602.html
- https://journals.aps.org/prresearch/accepted/3b07bYd1H891cc9ae8c78819cb80293342708a200
多視野乱流における量子に触発された情報エントロピー Quantum-inspired information entropy in multifield turbulence
Go Yatomi and Motoki Nakata
Physical Review Research Accepted: 11 April, 2025
Abstract
An information entropy for turbulence systems with multiple field quantities is formulated, as a new paradigm to explore the nonlinear dynamics and pattern formations. Combining quantum state descriptions in quantum mechanics into the turbulence field analysis, the von Neumann entropy (vNE) and the entanglement entropy (EE) are derived from a density matrix for the turbulence state in terms of the multi-field singular value decomposition (MFSVD). Applying the information-theoretic entropy analyses to spatio-temporal dynamics in turbulent plasmas with phase-transition-like behavior, we discover a new nontrivial transition threshold regarding the vNE, which significantly deviates from the transition threshold of the field energy considered in the conventional approaches. These findings provide us with physically more diverse classifications of the turbulence state from the new perspective of ‘’information’’, in addition to the energetics of turbulent vortices. It is also revealed that the EE for nonlinear interactions in turbulence extracts the information regarding the strength of nonlinear mode couplings and the direction of net energy transfer. A plausible application of the EE to the turbulence measurements is demonstrated, as well as the associated reconstruction technique for fluctuation fields.
