中国物理B ›› 2015, Vol. 24 ›› Issue (2): 20505-020505.doi: 10.1088/1674-1056/24/2/020505

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Onsager principle as a tool for approximation

Masao Doi   

  1. Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China
  • 收稿日期:2014-12-16 修回日期:2014-12-20 出版日期:2015-02-05 发布日期:2015-02-05

Onsager principle as a tool for approximation

Masao Doi   

  1. Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China
  • Received:2014-12-16 Revised:2014-12-20 Online:2015-02-05 Published:2015-02-05
  • Contact: Masao Doi E-mail:masao.doi.octa.pc@gmail.com

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摘要： Onsager principle is the variational principle proposed by Onsager in his celebrated paper on the reciprocal relation. The principle has been shown to be useful in deriving many evolution equations in soft matter physics. Here the principle is shown to be useful in solving such equations approximately. Two examples are discussed: the diffusion dynamics and gel dynamics. Both examples show that the present method is novel and gives new results which capture the essential dynamics in the system.

关键词: reciprocal relation, dissipation function, Rayleighian, slow variable, diffusion dynamics, gel dynamics

Abstract: Onsager principle is the variational principle proposed by Onsager in his celebrated paper on the reciprocal relation. The principle has been shown to be useful in deriving many evolution equations in soft matter physics. Here the principle is shown to be useful in solving such equations approximately. Two examples are discussed: the diffusion dynamics and gel dynamics. Both examples show that the present method is novel and gives new results which capture the essential dynamics in the system.

Key words: reciprocal relation, dissipation function, Rayleighian, slow variable, diffusion dynamics, gel dynamics

中图分类号:  (Nonequilibrium and irreversible thermodynamics)

  • 05.70.Ln
47.63.mf (Low-Reynolds-number motions)