Analysis of Turbulence in Fusion Plasmas

Understanding turbulence in magnetically confined fusion plasmas is an important issue on the long road to fusion energy as a power source for humanity. Fusion plasmas are extreme, strongly driven systems, far from thermodynamic equilibrium, in which turbulence plays a major role. This book reviews some of the observations that reveal the complex nature of plasma turbulence in detail and explains their implications. The change in paradigm needed to understand the observations is then discussed and mathematical models are highlighted that might address the dynamics better than traditional models. Along the way, a range of advanced analysis tools needed to characterize turbulence in this complex regime are presented and illustrated, including non-linear analyses, causality, and intermittence. The book aims to stimulate their broader adoption for the analysis of data from both experiments and numerical turbulence simulations.

Key Features:

• Reviews observations that reveal the complex nature of turbulence in fusion plasmas

• Provides advanced data analysis techniques to characterize complex turbulence

• Includes non-linear spectral analyses, causality, intermittence

• Covers self-organization, long-range correlations, long-time memory, models for effective transport

• Includes spontaneous structure formation from turbulence such as zonal flows, MHD modes

理解磁約束融合等離子體中的湍流是通往核聚變能源作為人類能源來源的漫長道路上的重要問題。融合等離子體是極端的、強烈驅動的系統，遠離熱力學平衡，其中湍流起著重要作用。本書詳細回顧了一些揭示等離子體湍流複雜性的觀察結果，並解釋了它們的意義。然後討論了理解這些觀察結果所需的範式轉變，並突出了可能比傳統模型更好地解釋動力學的數學模型。在此過程中，介紹並示範了一系列用於表徵這個複雜體制中湍流的先進分析工具，包括非線性分析、因果關係和間歇性。本書旨在促進這些工具在實驗和數值湍流模擬數據分析中的廣泛應用。

主要特點：
- 回顧揭示融合等離子體湍流複雜性的觀察結果
- 提供用於表徵複雜湍流的先進數據分析技術
- 包括非線性頻譜分析、因果關係、間歇性
- 涵蓋自組織、長程相關性、長時間記憶、有效傳輸模型
- 包括從湍流中產生的自發結構，如區域流、磁流體力學模態