相互作用重整化与等离子体阶梯结构

中文摘要 AI 辅助

我们解决了磁约束聚变等离子体中E×B阶梯结构的动力学和结构稳定性方面的一个现存问题。由于该问题兼具科学性和实用性，已在文献中引起广泛关注。在此，我们报告一种解决该问题的新方法，即将静电漂移波湍流的范式性长谷川-若谷模型与从量子场论引入的相互作用重整化思想相结合。基于具有重整化相互作用常数的薛定谔-牛顿方程，我们证明：当非绝热参数δ超过某一临界值时，等离子体阶梯结构是稳健且稳定的，否则不稳定。该临界值是相互作用模型的精确结果，求得为δc=π。对于δ<δc，不稳定系统沿径向扩展，导致径向二阶矩随时间t以t^(2/3)的规律增长。所得结果对在托卡马克中实现半透性输运垒阵列具有重要意义，并为其生成提供了阈值条件。

英文摘要

We resolve an existing question concerning dynamical and structural stability of the E {\times} B staircases in magnetically confined fusion plasma. The problem has stirred considerable interest in the literature due to a unique combination of its scientific and practical aspects. Here, we report a new approach to the problem by combining the paradigmatic Hasegawa-Wakatani model of electrostatic drift-wave turbulence with an idea of interaction renormalization, imported from quantum field theory. It is shown based on the Schrödinger-Newton equation with renormalized interaction constant that the plasma staircase is robust and stable as soon as the nonadiabaticity parameter, δ, goes above a certain critical value, and is unstable otherwise. This critical value is an exact result of the interaction model and is found to be δc = π. For δ < δc , the unstable system expands in the radial direction, resulting in a radial second moment that grows with time t as t^(2/3). The results obtained bear important implications with regard to the implementation of arrays of semipermeable transport barriers in tokamaks, suggesting a threshold condition for their generation.

发表机构

• ENEA National Laboratory（意大利国家能源与环境研究所）
• Solid State Institute, Technion − - Israel Institute of Technology（以色列理工学院固体物理研究所）
• Physics Department, Technical University of Denmark（丹麦技术大学物理系）

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