A mathematical structure of the separated variational principles of steady states for multi-forces and multi-currents

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• 作者：Kanzo Okada¹ ; ^{okada@imi.kyushu-u.ac.jp} ; ^{kbokada@gmail.com}
• 关键词：Entropy production inequality ; Nonlinear Onsager fluxes ; Decomposition theorem ; Dissipation potential ; Non-dissipative fluxes ; Separated variational principles
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：469
• 期：Complete
• 页码：731-739
• 全文大小：406 K
• 卷排序：469

文摘

A concise summary is given for the nonlinear Onsager theory of Edelen. Variational principles are built on the dissipation potential for Onsager fluxes. A mathematical structure of the separated variational principles is elucidated. Quantum Hall effect is analyzed in the framework of the present work.