A mini-max principle for drift waves and mesoscale fluctuations

S. I. Itoh, K. Itoh

研究成果: Contribution to journalArticle査読

7 被引用数 (Scopus)

抄録

A mini-max principle for the system of the drift waves and mesoscale fluctuations (e.g. zonal flows, etc) is studied. For the system of model equations a Lyapunov function is constructed, which takes the minimum when the stationary state is realized. The dynamical evolution describes the access to the state that is realized. The competition between different mesoscale fluctuations is explained. The origins of irreversibility that cause an approach to the stationary state are discussed. A selection rule among fluctuations is derived, and conditions, under which different kinds of mesocale fluctuations coexist, are investigated. An analogy of this minimum principle to the principle of 'minimum Helmholtz free energy' in thermal equilibrium is shown.

本文言語英語
論文番号015008
ジャーナルPlasma Physics and Controlled Fusion
53
1
DOI
出版ステータス出版済み - 1 2011

All Science Journal Classification (ASJC) codes

  • 原子力エネルギーおよび原子力工学
  • 凝縮系物理学

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